Search Results - Variational problems in abstract bifurcation theory in infinite-dimensional spaces

Bifurcation in a Quasilinear Variational Problem on a One-Dimensional Manifold: Bifurcation in a quasilinear variational problem on a one-dimensional manifold

Authors: P. Vyridis

Source: Journal of Mathematical Sciences. 106:2919-2924

Subject Terms: Bifurcations in context of PDEs, Variational methods for higher-order elliptic equations, bifurcation problem, semilinear differential equation on a manifold, Variational problems in abstract bifurcation theory in infinite-dimensional spaces, quasilinear variation problem, Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces, 0101 mathematics, 01 natural sciences, Ljusternik-Shnirel'man theorem

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Access URL: https://zbmath.org/1710229
https://link.springer.com/article/10.1023/A%3A1011359203119

Local bifurcation theory for multiparameter nonlinear eigenvalue problems

Authors: Rehana Bari

Source: Nonlinear Analysis: Theory, Methods & Applications. 48:1077-1086

Subject Terms: Variational problems in abstract bifurcation theory in infinite-dimensional spaces, multiparameter operator, bifurcation, 0103 physical sciences, nonlinear eigenvalue problem, 0101 mathematics, Abstract bifurcation theory involving nonlinear operators, 01 natural sciences

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Access URL: http://linkinghub.elsevier.com/retrieve/pii/S0362546X00002078
https://www.infona.pl//resource/bwmeta1.element.elsevier-b926e179-fb29-3196-893b-ea8c1911300d
http://www.sciencedirect.com/science/article/pii/S0362546X00002078
https://api.elsevier.com/content/article/PII:S0362546X00002078?httpAccept=text/xml
http://dl.acm.org/citation.cfm?id=611511

Dynamics of bifurcations for variational problems with o(3) equivariance: A conley index approach: Dynamics of bifurcations for variational problems with \(O(3)\) equivariance: A Conley index approach

Authors: Bernold Fiedler Konstantin Mischaikow

Source: Archive for Rational Mechanics and Analysis. 119:145-196

Subject Terms: heteroclinic orbits, orthogonal symmetry group \(O(3)\), stationary bifurcation, scalar reaction diffusion equation, Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces, Existence theories for optimal control problems involving partial differential equations, 01 natural sciences, nonlinear dynamics of symmetry breaking, Variational problems in abstract bifurcation theory in infinite-dimensional spaces, Reaction-diffusion equations, 0103 physical sciences, 0101 mathematics, Morse indices, Conley index

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Access URL: https://link.springer.com/content/pdf/10.1007/BF00375120.pdf
https://link.springer.com/article/10.1007/BF00375120
http://ui.adsabs.harvard.edu/abs/1992ArRMA.119..145F/abstract

Bifurcation near solutions of variational problems with degenerate second variation

Authors: Li-Jost, Xianqing

Source: Manuscripta Mathematica. 86:1-14

Subject Terms: 510.mathematics, Variational problems in abstract bifurcation theory in infinite-dimensional spaces, Variational problems concerning minimal surfaces (problems in two independent variables), bifurcation, 0101 mathematics, minimal surfaces, 16. Peace & justice, 01 natural sciences, Article, variational problems, manifolds

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Access URL: https://link.springer.com/content/pdf/10.1007/BF02567974.pdf
https://link.springer.com/article/10.1007%2FBF02567974

Invariant Reduction of Partially Potential Branching Equations and Iterative Methods in the Problem on a Bifurcation Point with a Symmetry: Invariant reduction of partially potential branching equations and iterative methods in the problem on a bifurcation point with a symmetry

Authors: B. V. Loginov Bülent Karasözen

Source: Differential Equations. 40:410-419

Subject Terms: invariant reduction, Variational problems in abstract bifurcation theory in infinite-dimensional spaces, Group-invariant bifurcation theory in infinite-dimensional spaces, 0211 other engineering and technologies, iterative methods, 02 engineering and technology, 0101 mathematics, Abstract bifurcation theory involving nonlinear operators, bifurcation point, 01 natural sciences, branching equation

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Access URL: https://zbmath.org/2176624
https://doi.org/10.1023/b:dieq.0000035778.88884.c7
https://link.springer.com/article/10.1023/B:DIEQ.0000035778.88884.c7

On bifurcation, critical groups and exact multiplicity of solutions to semilinear elliptic boundary value problems

Authors: Zhitao Zhang

Source: Nonlinear Analysis: Theory, Methods & Applications. 58:535-546

Subject Terms: Bifurcations in context of PDEs, Boundary value problems for second-order elliptic equations, Variational methods involving nonlinear operators, Variational problems in abstract bifurcation theory in infinite-dimensional spaces, Bifurcation, Critical points, Nonlinear elliptic equations, 0101 mathematics, Abstract bifurcation theory involving nonlinear operators, Sign-changing solutions, 01 natural sciences, Critical groups

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Access URL: http://www.sciencedirect.com/science/article/pii/S0362546X04001932
https://www.sciencedirect.com/science/article/pii/S0362546X04001932

Variational bifurcation for quasilinear elliptic equations

Authors: CANINO, Annamaria

Source: Calculus of Variations and Partial Differential Equations. 18:269-286

Subject Terms: Bifurcations in context of PDEs, bifurcation and multiplicity, Variational methods for second-order elliptic equations, Variational methods involving nonlinear operators, Variational problems in abstract bifurcation theory in infinite-dimensional spaces, quasilinear eigenvalue problem, lack of regularity, lack of compactness, Nonlinear elliptic equations, 0101 mathematics, 01 natural sciences

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Access URL: https://link.springer.com/article/10.1007/s00526-003-0200-6

A note on non-degenerate umbilics and the path formulation for bifurcation problems

Authors: Furter, Jacques-Elie Sitta, Angela Maria Universidade Estadual Paulista (UNESP)

Contributors: Furter, Jacques-Elie Sitta, Angela Maria Universidade Estadual Paulista (UNESP)

Source: Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 134:1115-1126

Subject Terms: Variational problems in abstract bifurcation theory in infinite-dimensional spaces, path formulation, Dynamical aspects of symmetries, equivariant bifurcation theory, umbilic singularities, 0101 mathematics, Abstract bifurcation theory involving nonlinear operators, 01 natural sciences, multiparametric bifurcation

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Access URL: https://zbmath.org/2141292
https://doi.org/10.1017/s0308210500003656
https://www.cambridge.org/core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics/article/note-on-nondegenerate-umbilics-and-the-path-formulation-for-bifurcation-problems/180D9A933857A306E23517D2A410FC6E
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0308210500003656
https://repositorio.unesp.br/handle/11449/68029
http://repositorio.unesp.br/handle/11449/68029

Bifurcation Theorems via the 2-Regularity Theory: Bifurcation theorems via the 2-regularity theory

Authors: Alexey F. Izmailov

Source: Journal of Mathematical Sciences. 110:2438-2451

Subject Terms: Variational problems in abstract bifurcation theory in infinite-dimensional spaces, bifurcation results, 2-regular nonlinear mappings, 0101 mathematics, Abstract bifurcation theory involving nonlinear operators, 01 natural sciences, Implicit function theorems, global Newton methods on manifolds

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Access URL: https://link.springer.com/article/10.1023/A%3A1015014210061

Multiple bifurcation branches for variational inequalities

Authors: GROLI ALESSANDRO SACCON, CLAUDIO

Source: Journal of Differential Equations. 190:407-438

Subject Terms: Bifurcations in context of PDEs, Nonsmooth critical points theory, relative category, Relative category, 0211 other engineering and technologies, 02 engineering and technology, Variational inequalities, 01 natural sciences, nonsmooth critical point theory, Variational problems in abstract bifurcation theory in infinite-dimensional spaces, bifurcation, Bifurcation, Unilateral problems, variational inequalities (elliptic type), 0101 mathematics, variational inequalities, Analysis

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Access URL: https://arpi.unipi.it/handle/11568/82779
https://www.sciencedirect.com/science/article/pii/S0022039602001821#!
https://www.sciencedirect.com/science/article/abs/pii/S0022039602001821
http://ui.adsabs.harvard.edu/abs/2003JDE...190..407G/abstract
https://hdl.handle.net/11568/82779

Bifurcation problems for superlinear elliptic indefinite equations with exponential growth

Authors: Adimurthi Jacques Giacomoni

Source: Nonlinear Differential Equations and Applications NoDEA. 12:1-20

Subject Terms: Bifurcations in context of PDEs, Variational problems in abstract bifurcation theory in infinite-dimensional spaces, superlinear elliptic problem, Nonlinear elliptic equations, 0101 mathematics, global bifurcation, sign-changing nonlinearity, 01 natural sciences

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Access URL: https://www.infona.pl/resource/bwmeta1.element.springer-8a2eb103-59ae-34ea-a54d-14ae87e2fa28
https://rd.springer.com/article/10.1007/s00030-004-1057-x
https://link.springer.com/article/10.1007%2Fs00030-004-1057-x
https://link.springer.com/10.1007/s00030-004-1057-x

Lacunary bifurcation for operator equations and nonlinear boundary value problems on ℝN: Lacunary bifurcation for operator equations and nonlinear boundary value problems on \(\mathbb{R}{}^ N\)

Authors: Hans-Peter Heinz

Source: Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 118:237-270

Subject Terms: Variational methods for second-order elliptic equations, Equations involving nonlinear operators (general), Nonlinear spectral theory, nonlinear eigenvalue problems, nonlinear eigenvalue problems, 01 natural sciences, strongly indefinite functionals, semilinear elliptic partial differential equations, Variational problems in abstract bifurcation theory in infinite-dimensional spaces, critical point theory, bifurcation, nonlinear perturbations of the periodic Schrödinger equation, 0103 physical sciences, gaps in the essential spectrum, 0101 mathematics

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Access URL: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0308210500029073
https://www.cambridge.org/core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics/article/lacunary-bifurcation-for-operator-equations-and-nonlinear-boundary-value-problems-on-n/C04C15D1DF702E52FDE053BFC3245185

Existence and bifurcation of positive solutions of a semilinear elliptic problem on $ {\Bbb R}^N $: Existence and bifurcation of positive solutions of a semilinear elliptic problem on \(\mathbb{R}^ N\)

Authors: José L. Gámez

Source: NoDEA : Nonlinear Differential Equations and Applications. 4:341-357

Subject Terms: Bifurcations in context of PDEs, global branch of solutions, Variational methods for second-order elliptic equations, bifurcation problem, Variational problems in abstract bifurcation theory in infinite-dimensional spaces, radial solutions, existence results, Nonlinear elliptic equations, Genetics and epigenetics, 0101 mathematics, semilinear elliptic equation, 01 natural sciences

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Access URL: https://link.springer.com/article/10.1007/s000300050019
https://rd.springer.com/article/10.1007/s000300050019
https://link.springer.com/content/pdf/10.1007%2Fs000300050019.pdf

Bifurcation From Minimax Solutions by Variational Inequalities: Bifurcation from minimax solutions by variational inequalities

Authors: Friedemann Schuricht

Source: Mathematische Nachrichten. 154:67-88

Subject Terms: minimax principle, bifurcation problem, Variational problems in abstract bifurcation theory in infinite-dimensional spaces, Bifurcation and buckling, Variational inequalities (global problems) in infinite-dimensional spaces, Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces, Rods (beams, columns, shafts, arches, rings, etc.), Variational inequalities, real Hilbert space, buckling of a beam, Variational methods for eigenvalues of operators, variational inequalities

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Access URL: https://zbmath.org/58508
https://doi.org/10.1002/mana.19911540107
http://onlinelibrary.wiley.com/doi/10.1002/mana.19911540107/abstract
https://api.wiley.com/onlinelibrary/tdm/v1/articles/10.1002%2Fmana.19911540107

Bifurcation from infinity for an asymptotically linear Schrödinger equation

Authors: Wojciech Kryszewski Andrzej Szulkin

Source: Journal of Fixed Point Theory and Applications. 16:411-435

Subject Terms: Variational methods for second-order elliptic equations, 4. Education, Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian, Schrödinger equation, Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces, Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs, 16. Peace & justice, 01 natural sciences, bifurcation from infinity, Mathematics - Analysis of PDEs, Variational problems in abstract bifurcation theory in infinite-dimensional spaces, 35J20, 35J91, 58E05, 58E07, asymptotically linear, FOS: Mathematics, Morse theory, 0101 mathematics, Analysis of PDEs (math.AP)

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Access URL: http://arxiv.org/abs/1412.1310
http://www.diva-portal.org/smash/record.jsf?pid=diva2:821614
https://link.springer.com/article/10.1007/s11784-015-0221-8
https://link.springer.com/content/pdf/10.1007%2Fs11784-015-0221-8.pdf

Global bifurcation in generic systems of nonlinear Sturm-Liouville problems

Authors: Bryan P. Rynne

Source: Proceedings of the American Mathematical Society. 127:155-165

Subject Terms: Sturm-Liouville theory, Bifurcation theory for ordinary differential equations, Sturm-Liouville systems, Nonlinear boundary value problems for ordinary differential equations, Variational problems in abstract bifurcation theory in infinite-dimensional spaces, coupled nonlinear, 0101 mathematics, global bifurcation, genericity, 01 natural sciences

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Access URL: https://www.ams.org/proc/1999-127-01/S0002-9939-99-04763-2/S0002-9939-99-04763-2.pdf
https://zbmath.org/1214843
https://doi.org/10.1090/s0002-9939-99-04763-2
https://www.ams.org/proc/1999-127-01/S0002-9939-99-04763-2/S0002-9939-99-04763-2.pdf
https://www.ams.org/journals/proc/1999-127-01/S0002-9939-99-04763-2/home.html
https://researchportal.hw.ac.uk/en/publications/global-bifurcation-in-generic-systems-of-nonlinear-sturm-liouvill

Existence and gap-bifurcation of multiple solutions to certain nonlinear eigenvalue problems

Authors: Hans-Peter Heinz

Source: Nonlinear Analysis: Theory, Methods & Applications. 21:457-484

Subject Terms: Variational problems in abstract bifurcation theory in infinite-dimensional spaces, Equations involving nonlinear operators (general), Nonlinear spectral theory, nonlinear eigenvalue problems, Carathéodory function, spectral gaps, 0211 other engineering and technologies, 02 engineering and technology, 0101 mathematics, nonlinear Schrödinger equation, 01 natural sciences

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Access URL: https://www.sciencedirect.com/science/article/abs/pii/0362546X9390128F

Symmetry breaking and branching patterns in equivariant bifurcation theory II: Symmetry-breaking and branching patterns in equivariant bifurcation theory. I

Authors: Michael Field R. W. Richardson

Source: Archive for Rational Mechanics and Analysis. 120:147-190

Subject Terms: Bifurcation theory for ordinary differential equations, heteroclinic cycle, Variational problems in abstract bifurcation theory in infinite-dimensional spaces, branching pattern, Group-invariant bifurcation theory in infinite-dimensional spaces, maximal isotropy subgroup conjecture, 0103 physical sciences, spontaneous symmetry breaking, equivariant bifurcation theory, 0101 mathematics, equivariant dynamics, symmetry breaking, 01 natural sciences

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Access URL: http://ui.adsabs.harvard.edu/abs/1992ArRMA.118..297F/abstract
https://rd.springer.com/article/10.1007/BF00418498
https://link.springer.com/article/10.1007/BF00374978

A Bifurcation Theorem for Potential Operators with Infinite Dimensional Kernel: A bifurcation theorem for potential operators with infinite dimensional kernel

Authors: Weijie Qian Alan P Wang

Source: Journal of Mathematical Analysis and Applications. 192:992-1006

Subject Terms: Variational problems in abstract bifurcation theory in infinite-dimensional spaces, Equations involving nonlinear operators (general), Applied Mathematics, Palais-Smale condition, smooth function, 0101 mathematics, bifurcation point, 01 natural sciences, Analysis

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Access URL: https://core.ac.uk/display/82537649
https://www.sciencedirect.com/science/article/pii/S0022247X85712164

GROUP SYMMETRY OF THE LYAPUNOV-SCHMIDT BRANCHING EQUATION AND ITERATIVE METHODS IN THE PROBLEM OF A BIFURCATION POINT: Group symmetry of the Lyapunov-Schmidt branching equation and iterative methods in the problem of a bifurcation point

Authors: N. A. Sidorov B. V. Loginov

Source: Mathematics of the USSR-Sbornik. 73:67-77

Subject Terms: Lyapunov-Schmidt branching equation, Variational problems in abstract bifurcation theory in infinite-dimensional spaces, nonlinear operators, small solutions, Numerical solutions to equations with nonlinear operators, bifurcation, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, 0101 mathematics, iteration, group symmetry, 01 natural sciences

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Access URL: http://ui.adsabs.harvard.edu/abs/1992SbMat..73...67L/abstract