Suchergebnisse - Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs

On the Lack of External Response of a Nonlinear Medium in the Second-Harmonic Generation Process: On the lack of external response of a nonlinear medium in the second-harmonic generation process

Autoren: Fioralba Cakoni Narek Hovsepyan Matti Lassas et al.

Quelle: SIAM Journal on Mathematical Analysis. 57:1370-1405

Schlagwörter: second-harmonic generation process, Mathematics - Analysis of PDEs, Semilinear elliptic equations, nonlinear optics, Scattering theory for PDEs, Boundary value problems for second-order elliptic systems, Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs, Lasers, masers, optical bistability, nonlinear optics, scattered field control, transmission eigenvalues

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2401.00998
https://zbmath.org/8024074
https://doi.org/10.1137/24m1669700

Subelliptic p$p$‐Laplacian spectral problem for Hörmander vector fields: Subelliptic \(p\)-Laplacian spectral problem for Hörmander vector fields

Autoren: Mukhtar Karazym Durvudkhan Suragan

Quelle: Mathematische Nachrichten. 298:1184-1200

Schlagwörter: subelliptic \(p\)-Laplacian, 35P30, 35H20, 35J92, 35R03, Analysis of PDEs, FOS: Mathematics, Subelliptic equations, Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs, Quasilinear elliptic equations with \(p\)-Laplacian, Hörmander vector fields, spectral problem, Analysis of PDEs (math.AP)

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2306.14829
https://zbmath.org/8035815
https://doi.org/10.1002/mana.202300513

Some inequalities between Laplacian eigenvalues on Riemannian manifolds

Autoren: Huang, Guangyue Wang, Botao Qi, Xuerong

Quelle: Discrete and Continuous Dynamical Systems - S. 18:806-815

Schlagwörter: Variational methods for higher-order elliptic equations, Elliptic equations on manifolds, general theory, Nonlinear spectral theory, nonlinear eigenvalue problems, Estimates of eigenvalues in context of PDEs, weighted \(p\)-Laplacian, Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs, gradient estimates, Quasilinear elliptic equations with \(p\)-Laplacian, Dirichlet eigenvalues

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/7989691
https://doi.org/10.3934/dcdss.2024095

Nonlinear Subwavelength Resonances in Three Dimensions: Nonlinear subwavelength resonances in three dimensions

Autoren: Habib Ammari Thea Kosche

Quelle: Studies in Applied Mathematics, 154 (3)

Schlagwörter: Wave scattering in solid mechanics, Semilinear elliptic equations, capacitance matrix formalism, cubic nonlinear Helmholtz equation, nonlinearity-induced eigenmode, nonlinear subwavelength physics, nonlinear subwavelength resonance, FOS: Physical sciences, Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs, Mathematical Physics (math-ph), 35P30, 35C20, 74J20, Asymptotic expansions of solutions to PDEs, Resonance in context of PDEs, Mathematical Physics

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2410.21173
https://zbmath.org/8023770
https://doi.org/10.1111/sapm.70036
http://hdl.handle.net/20.500.11850/728224

A novel method for solving the inverse spectral problem with incomplete data

Autoren: Pinchao Meng Zhaobin Xu Xianchao Wang et al.

Quelle: Journal of Computational and Applied Mathematics. 463:116525

Schlagwörter: incomplete data, Boundary value problems for second-order elliptic equations, Scattering theory for PDEs, data-driven, Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs, inverse spectral problem, Dirichlet-Laplacian eigenvalue, data-driven deep neural network, Artificial neural networks and deep learning

Dateibeschreibung: application/xml

Adaptive Finite Element Approximations of the First Eigenpair Associated with \({p}\)-Laplacian: Adaptive finite element approximations of the first eigenpair associated with \(p\)-Laplacian

Autoren: Guanglian Li Jing Li Julie Merten et al.

Quelle: SIAM Journal on Scientific Computing. 47:A374-A402

Schlagwörter: Numerical methods for eigenvalue problems for boundary value problems involving PDEs, convergence, Error bounds for boundary value problems involving PDEs, 65N12, 65N25, 65N30, 65N50, 35P30, p-Laplacian, Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs, adaptive finite element method, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Stability and convergence of numerical methods for boundary value problems involving PDEs, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, \(p\)-Laplacian, FOS: Mathematics, Mathematics - Numerical Analysis, Quasilinear elliptic equations with \(p\)-Laplacian, first eigenvalue, a posteriori error estimator

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2402.06889
https://zbmath.org/7988245
https://doi.org/10.1137/24m1637052
https://hdl.handle.net/11370/38fde517-5607-4324-a94f-59f28f4250e0
https://doi.org/10.1137/24M1637052
https://research.rug.nl/en/publications/38fde517-5607-4324-a94f-59f28f4250e0

Some qualitative and quantitative properties of weak solutions to mixed anisotropic and nonlocal quasilinear elliptic and doubly nonlinear parabolic equations

Autoren: Garain, Prashanta

Quelle: Nonlinear Analysis. 256:113796

Schlagwörter: pointwise behavior, Quasilinear parabolic equations, regularity, PDEs of mixed type, energy estimates, Smoothness and regularity of solutions to PDEs, existence, Comparison principles in context of PDEs, system of mixed singular equations, semicontinuity, Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs, A priori estimates in context of PDEs, Fractional partial differential equations, Maximum principles in context of PDEs, 35A01, 35B45, 35B50, 35B51, 35B65, 35J62, 35K59, 35M10, 35P30, 35R11, Mathematics - Analysis of PDEs, Quasilinear elliptic equations, elliptic and doubly nonlinear parabolic mixed anisotropic and nonlocal quasilinear equation, FOS: Mathematics, weak Harnack inequality, De Giorgi theory, Analysis of PDEs (math.AP)

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2407.17928

Nonlinear Eigenvalue Problems of Schrödinger Type Admitting Eigenfunctions with Given Spectral Characteristics: Nonlinear eigenvalue problems of Schrödinger type admitting eigenfunctions with given spectral characteristics

Autoren: Michael Heid Tobias Weth Hans-Peter Heinz

Quelle: Mathematische Nachrichten. 242:91-118

Schlagwörter: nonlinear Schrödinger equations, Applications of operator theory to differential and integral equations, Nonlinear spectral theory, nonlinear eigenvalue problems, Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs, Ljusternik-Schnirelman levels, Nonlinear elliptic equations, nonlinear eigenvalue problems, nodal structure

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1782782
https://doi.org/10.1002/1522-2616(200207)242:1<91::aid-mana91>3.0.co;2-z
http://doi.wiley.com/10.1002/1522-2616%28200207%29242%3A1%3C91%3A%3AAID-MANA91%3E3.0.CO%3B2-Z
http://onlinelibrary.wiley.com/doi/10.1002/1522-2616(200207)242:1%3C91::AID-MANA91%3E3.0.CO;2-Z/references
https://api.wiley.com/onlinelibrary/tdm/v1/articles/10.1002%2F1522-2616(200207)242:1%3C91::AID-MANA91%3E3.0.CO;2-Z

A Priori Error Analysis of Linear and Nonlinear Periodic Schrödinger Equations with Analytic Potentials: A priori error analysis of linear and nonlinear periodic Schrödinger equations with analytic potentials

Autoren: Cancès, Eric Kemlin, Gaspard Levitt, Antoine

Weitere Verfasser: Cancès, Eric Kemlin, Gaspard Levitt, Antoine

Quelle: Journal of Scientific Computing. 98

Schlagwörter: Numerical computation of eigenvalues and eigenvectors of matrices, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, eigenvalue problems, NLS equations (nonlinear Schrödinger equations), planewave discretization, Analyticity in context of PDEs, Schrödinger equation, Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs, Numerical Analysis (math.NA), [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], Nonlinear elliptic equations, Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, 01 natural sciences, Blow-up in context of PDEs, FOS: Mathematics, Mathematics - Numerical Analysis, 0101 mathematics, Stability in context of PDEs, PDEs in connection with statistical mechanics, Computational density functional analysis in statistical mechanics

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: http://arxiv.org/abs/2206.04954
https://inria.hal.science/hal-03692851v3/document
https://inria.hal.science/hal-03692851v3
https://doi.org/10.1007/s10915-023-02421-0

A numerical algorithm for solving the generalized eigenvalue problem for completely continuous self-adjoint operators with nonlinear spectral parameter

Autoren: P. O. Savenko

Quelle: Journal of Mathematical Sciences. 88:452-455

Schlagwörter: Other nonlinear integral equations, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, integral equations of Hammerstein type, generalized eigenvalues, Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs, Spectrum, resolvent, 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1261541
https://link.springer.com/article/10.1007/BF02365269

The Existence and Multiplicity of Normalized Solutions for Kirchhoff Equations in Defocusing Case: The existence and multiplicity of normalized solutions for Kirchhoff equations in defocusing case

Autoren: Xu, Lin

Quelle: Analysis in Theory and Applications. 40:191-207

Schlagwörter: Integro-partial differential equations, Second-order elliptic systems, Semilinear elliptic equations, Kirchhoff-type equation, Entire solutions to PDEs, mixed nonlinearity, Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs, normalized solutions

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/7959285
https://doi.org/10.4208/ata.oa-2023-0027

Isoperimetric inequalities for some nonlinear eigenvalue problems

Autoren: Gabriella Bognár

Quelle: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2003, Iss 4, Pp 1-12 (2004)

Schlagwörter: Nonlinear spectral theory, nonlinear eigenvalue problems, QA1-939, Estimates of eigenvalues in context of PDEs, Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs, Nonlinear elliptic equations, 0101 mathematics, 01 natural sciences, Mathematics

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2186184
https://doaj.org/article/6a328c915ac047daa986af10d81888be
http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=192

Spectral asymptotics of nonlinear elliptic two-parameter problems

Autoren: Tetsutaro Shibata

Quelle: Nonlinear Analysis: Theory, Methods & Applications. 43:75-90

Schlagwörter: estimation of eigenvalues, Nonlinear boundary value problems for linear elliptic equations, 0103 physical sciences, nonlinear elliptic equation, Estimates of eigenvalues in context of PDEs, Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs, 0101 mathematics, 01 natural sciences, two-parameter problem, spectral asymptotics

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1539292
https://doi.org/10.1016/s0362-546x(99)00179-0
https://www.sciencedirect.com/science/article/pii/S0362546X99001790

Semiclassical analysis of a nonlinear eigenvalue problem and nonanalytic hypoellipticity

Autoren: Bernard Helffer Xue Ping Wang Didier Robert

Quelle: St. Petersburg Mathematical Journal. 16:285-297

Schlagwörter: Mathematics - Spectral Theory, Mathematics - Analysis of PDEs, Hypoelliptic equations, analytic hypoellipticity, Scattering theory for PDEs, FOS: Mathematics, Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs, Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory, 0101 mathematics, 01 natural sciences, Spectral Theory (math.SP), semiclassical analysis, Analysis of PDEs (math.AP)

Dateibeschreibung: application/xml

Zugangs-URL: https://www.ams.org/spmj/2005-16-01/S1061-0022-04-00851-9/S1061-0022-04-00851-9.pdf
http://arxiv.org/abs/math/0304201
https://www.ams.org/spmj/2005-16-01/S1061-0022-04-00851-9/S1061-0022-04-00851-9.pdf
https://www.ams.org/journals/spmj/2005-16-01/S1061-0022-04-00851-9/home.html
http://ui.adsabs.harvard.edu/abs/2003math......4201H/abstract

A MULTIGRID-LANCZOS ALGORITHM FOR THE NUMERICAL SOLUTIONS OF NONLINEAR EIGENVALUE PROBLEMS: A multigrid-Lanczos algorithm for the numerical solutions of nonlinear eigenvalue problems.

Autoren: C.-S. Chien S.-L. Chang

Quelle: International Journal of Bifurcation and Chaos. 13:1217-1228

Schlagwörter: Bifurcations in context of PDEs, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, convergence, Lanczos method, Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs, nonlinear elliptic eigenvalue problems, Stability and convergence of numerical methods for boundary value problems involving PDEs, singular points, numerical results, 01 natural sciences, Global methods, including homotopy approaches to the numerical solution of nonlinear equations, Numerical solution of nonlinear eigenvalue and eigenvector problems, continuation method, bifurcation, minimal residual algorithm, 0101 mathematics, Multigrid method

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2141855
https://doi.org/10.1142/s0218127403007175

The eigenvalue problem for the focusing nonlinear Schrödinger equation: new solvable cases: The eigenvalue problem for the focusing nonlinear Schrödinger equation: New solvable cases

Autoren: Tovbis, Alexander Venakides, Stephanos

Quelle: Physica D: Nonlinear Phenomena. 146:150-164

Schlagwörter: focusing, Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems, Multidisciplinary, Mathematical, Physics, NLS equations (nonlinear Schrödinger equations), 4. Education, Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.), Focusing nonlinear Schrödinger equation, Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs, Hypergeometric functions, focusing nonlinear Schrödinger equation, 01 natural sciences, Scattering theory, inverse scattering involving ordinary differential operators, Zakharov-Shabat eigenvalue problem, semi-classical limit, Applied, 0103 physical sciences, nonlinear Schrodinger equation, 0101 mathematics, Mathematics, Semi-classical limit, hypergeometric functions

Dateibeschreibung: application/xml

Zugangs-URL: https://www.sciencedirect.com/science/article/pii/S0167278900001263
https://ui.adsabs.harvard.edu/abs/2000PhyD..146..150T/abstract
http://www.sciencedirect.com/science/article/pii/S0167278900001263
https://dl.acm.org/doi/10.1016/S0167-2789%2800%2900126-3

Convergence of Eigenvalues and Eigenfunctions of Nonlinear Dirichlet Problems in Domains with Fine-Grain Boundary: Convergence of the eigenvalues and eigenfunctions of nonlinear Dirichlet problems in domains with a fine-grained boundary

Autoren: I. V. Skrypnik Yu. V. Namleeva

Quelle: Ukrainian Mathematical Journal. 55:993-1011

Schlagwörter: fine-grained boundary, Nonlinear boundary value problems for linear elliptic equations, nonlinear eigenvalue problem, homogenization, Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs, 0101 mathematics, Homogenization in context of PDEs, PDEs in media with periodic structure, nonlinear Dirichlet problem, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://link.springer.com/article/10.1023/B%3AUKMA.0000010599.23210.00

MULTIPLE POSITIVE SOLUTIONS OF NONLINEAR EIGENVALUE PROBLEMS ASSOCIATED TO A CLASS OF p-LAPLACIAN LIKE OPERATORS: Multiple positive solutions of nonlinear eigenvalue problems associated to a class of \(p\)-Laplacian like operators.

Autoren: Nobuyoshi Fukagai Kimiaki Narukawa

Quelle: Communications in Contemporary Mathematics. :737-759

Schlagwörter: Bifurcations in context of PDEs, Boundary value problems for second-order elliptic equations, nonlinear eigenvalue problem, minimum solution, Degenerate elliptic equations, Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs, Nonlinear elliptic equations, 0101 mathematics, multiple positive solution, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://www.worldscientific.com/doi/abs/10.1142/S0219199703001105

Solving nonlinear eigenvalue problems by using p-version of FEM: Solving nonlinear eigenvalue problems by using \(p\)-version of FEM

Autoren: Tamás Szabó Gabriella Bognár

Quelle: Computers & Mathematics with Applications. 46:57-68

Schlagwörter: Numerical methods for eigenvalue problems for boundary value problems involving PDEs, p-version FEM, finite element method, \(p\)-version FEM, Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, numerical results, Nonlinear PDE, nonlinear eigenvalue problems, 01 natural sciences, Computational Mathematics, Computational Theory and Mathematics, Eigenvalue problem, Modelling and Simulation, eigenfunction, 0101 mathematics

Dateibeschreibung: application/xml

Zugangs-URL: https://www.sciencedirect.com/science/article/pii/S0898122103900800
http://www.sciencedirect.com/science/article/pii/S0898122103900800

On the existence and multiplicity of positive solutions for some indefinite nonlinear eigenvalue problem

Autoren: Delgado Delgado, Manuel Suárez Fernández, Antonio Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico et al.

Weitere Verfasser: Delgado Delgado, Manuel Suárez Fernández, Antonio Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico et al.

Quelle: idUS. Depósito de Investigación de la Universidad de Sevilla
Universidad de Sevilla (US)
instname

Schlagwörter: bifurcation method, Nonlinear spectral theory, nonlinear eigenvalue problems, nonlinear eigenvalue problem, Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs, Nonlinear elliptic equations, 0101 mathematics, Stability in context of PDEs, 01 natural sciences, Indefinite weight elliptic problem

Dateibeschreibung: application/pdf; application/xml

Zugangs-URL: https://www.ams.org/proc/2004-132-06/S0002-9939-04-07233-8/S0002-9939-04-07233-8.pdf
https://idus.us.es/xmlui/handle/11441/40211
http://hdl.handle.net/11441/40211
https://idus.us.es/handle/11441/40211
https://documat.unirioja.es/servlet/articulo?codigo=883741
https://www.ams.org/journals/proc/2004-132-06/S0002-9939-04-07233-8/home.html
https://www.ams.org/proc/2004-132-06/S0002-9939-04-07233-8/S0002-9939-04-07233-8.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=883741