Search Results - "SOBOLEV spaces"

Overfare of harmonic functions on Riemann surfaces

Authors: Schippers, Eric Staubach, Wolfgang

Source: New York Journal of Mathematics. 31:321-367

Subject Terms: Overfare operator, scattering, bordered surfaces, quasicircles, bounded zero mode quasicircles, conformally nontangential limits, conformal Sobolev spaces

File Description: electronic

Access URL: https://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-552041
https://uu.diva-portal.org/smash/get/diva2:1943813/FULLTEXT01.pdf

Constant sign and nodal solutions for anisotropic eigenvalue problems.

Authors: Öztürk, Eylem Papageorgiou, Nikolaos S.

Source: Positivity. Sep2025, Vol. 29 Issue 4, p1-21. 21p.

Subject Terms: SOBOLEV spaces, NONLINEAR equations, EIGENVALUES

SDEs with critical time dependent drifts: strong solutions.

Authors: Röckner, Michael Zhao, Guohuan

Source: Probability Theory & Related Fields. Aug2025, Vol. 192 Issue 3/4, p1071-1111. 41p.

Subject Terms: *STOCHASTIC processes, STOCHASTIC differential equations, SOBOLEV spaces, RANDOM fields, STABILITY theory, LEBESGUE measure, NAVIER-Stokes equations

The heat modulated infinite dimensional Heston model and its numerical approximation.

Authors: Espen Benth, Fred Lord, Gabriel J. Di Nunno, Giulia et al.

Source: Stochastics: An International Journal of Probability & Stochastic Processes. Dec2025, Vol. 97 Issue 8, p1038-1078. 41p.

Subject Terms: *NUMERICAL analysis, *SOBOLEV spaces, *GAUSSIAN processes, *TRANSPORT equation, *ORNSTEIN-Uhlenbeck process, *FINITE difference method, *STOCHASTIC processes

Eigenvalues associated with the Khon-Spencer p(⋅)-biharmonic operator on the Heisenberg group.

Authors: Razani, Abdolrahman Sengelen Sevim, Esra

Source: Complex Variables & Elliptic Equations. Dec2025, Vol. 70 Issue 12, p2036-2050. 15p.

Subject Terms: *EIGENVALUES, *SOBOLEV spaces, *BIHARMONIC equations, *BIHARMONIC functions, *VARIATIONAL principles, *BOUNDARY value problems

Fine Pólya-Szegő rearrangement inequalities in metric spaces and applications.

Authors: Nobili, Francesco Violo, Ivan Yuri

Source: Calculus of Variations & Partial Differential Equations. Dec2025, Vol. 64 Issue 9, p1-56. 56p.

Subject Terms: *METRIC spaces, *SOBOLEV spaces, *VARIATIONAL principles, *MATHEMATICAL inequalities, *ISOPERIMETRIC inequalities, *MATHEMATICAL bounds

On growth of Sobolev norms for periodic nonlinear Schrodinger and generalised Korteweg-de Vries equations under critical Gibbs dynamics.

Authors: Höfer, Fabian Nikov, Niko A.

Source: Proceedings of the American Mathematical Society. Dec2025, Vol. 153 Issue 12, p5215-5230. 16p.

Subject Terms: *SOBOLEV spaces, *NONLINEAR Schrodinger equation, *KORTEWEG-de Vries equation, *GIBBS' equation, *INVARIANT measures

People: SCHROEDINGER, Erwin, 1887-1961

Best approximation characterization of Sobolev spaces with common smoothness in the probabilistic setting and Sq norm.

Authors: Wang, Chong Zhang, Weiye Li, Huan

Source: International Journal of Wavelets, Multiresolution & Information Processing. Nov2025, p1. 20p.

Subject Terms: *SOBOLEV spaces, *GAUSSIAN measures, *MULTIVARIATE analysis, *STATISTICAL models, *DISCRETIZATION methods

On the Estimate of the Absolute Value of Eigenfunctions to the Steklov–Zaremba Problem for the Laplace Operator.

Authors: Alkhutov, Yurij A. Chechkin, Gregory A.

Source: Axioms (2075-1680). Nov2025, Vol. 14 Issue 11, p788. 10p.

Subject Terms: *EIGENFUNCTIONS, *SOBOLEV spaces, *DIRICHLET problem, *LAPLACIAN operator, *BOUNDARY value problems

The double obstacle problem in generalized Sobolev spaces with Hardy potential.

Authors: Sabiry, Abdelaziz Zineddaine, Ghizlane Melliani, Said et al.

Source: Complex Variables & Elliptic Equations. Nov2025, Vol. 70 Issue 11, p1924-1933. 10p.

Subject Terms: *SOBOLEV spaces, *POTENTIAL theory (Mathematics), *APPROXIMATION theory, *CAPACITY (Law)

Lq estimates for nonlocal p-Laplacian-type equations with BMO kernel coefficients in divergence form.

Authors: Byun, Sun-Sig Kim, Kyeongbae

Source: Communications in Contemporary Mathematics. Nov2025, Vol. 27 Issue 9, p1-78. 78p.

Subject Terms: *SOBOLEV spaces, *KERNEL functions, *SMOOTHNESS of functions, *LAPLACIAN operator, *DIVERGENCE theorem

New applications of Hadamard-in-the-mean inequalities to incompressible variational problems.

Authors: Bevan, Jonathan J. Kružík, Martin Valdman, Jan

Source: Calculus of Variations & Partial Differential Equations. Nov2025, Vol. 64 Issue 8, p1-33. 33p.

Subject Terms: *SOBOLEV spaces, *CONSTRAINED optimization, *VARIATIONAL approach (Mathematics), *ENERGY function, *FUNCTIONAL analysis, *MATHEMATICAL inequalities, *ELASTIC deformation, *GLOBAL optimization

Trudinger–Moser inequalities for fractional Sobolev–Slobodeckij spaces in the Heisenberg group and the concentration–compactness principle.

Authors: Lu, Guozhen Temperini, Letizia

Source: Calculus of Variations & Partial Differential Equations. Nov2025, Vol. 64 Issue 8, p1-32. 32p.

Subject Terms: *MATHEMATICAL inequalities, *SOBOLEV spaces, *SEMILINEAR elliptic equations, *NONLINEAR theories, *NILPOTENT Lie groups

Continuity of Bilinear Fractional Maximal Commutators with Lipschitz Symbols in Sobolev Spaces.

Authors: Jiang, Xixi Liu, Feng Wen, Yongming

Source: Frontiers of Mathematics. Nov2025, Vol. 20 Issue 6, p1239-1284. 46p.

Subject Terms: *SOBOLEV spaces, *COMMUTATORS (Operator theory), *MATHEMATICAL bounds, *LIPSCHITZ continuity, *SOBOLEV gradients, *MATHEMATICAL analysis

Improved expected L2-discrepancy formulas on jittered sampling.

Authors: Xian, Jun Xu, Xiaoda

Source: Analysis & Applications. Nov2025, Vol. 23 Issue 8, p1469-1499. 31p.

Subject Terms: *SOBOLEV spaces, *DISCREPANCY theorem, *STATISTICAL sampling, *SAMPLING methods

A posteriori error estimates for the linear elasticity problem with singular sources.

Authors: Allendes, Alejandro Campaña, Gilberto

Source: Calcolo. Nov2025, Vol. 62 Issue 4, p1-25. 25p.

Subject Terms: *ELASTICITY, *SOBOLEV spaces, *ITERATIVE methods (Mathematics), *FINITE element method, *APPROXIMATION error, *NUMERICAL analysis

The higher order chain rule in Sobolev spaces.

Authors: Bourdaud, Gérard¹ (AUTHOR)

Source: Proceedings of the American Mathematical Society. Nov2025, Vol. 153 Issue 11, p4811-4819. 9p.

Subject Terms: *SOBOLEV spaces, *THEORY of distributions (Functional analysis), *REAL variables, *DERIVATIVES (Mathematics), *SCHOLARLY method

On the Study of Nonlinear Capillarity Models Through Weighted Sobolev Spaces with Dirichlet Boundary Conditions.

Authors: Badgaish, Manal Hmidouch, Lhoucine Hmidouch, Nacir

Source: Mathematics (2227-7390). Oct2025, Vol. 13 Issue 20, p3353. 15p.

Subject Terms: *SOBOLEV spaces, *DEGENERATE parabolic equations, *SURFACE tension, *CAPILLARY flow, *BOUNDARY value problems, *EXISTENCE theorems

Sobolev norm inconsistency of kernel interpolation.

Authors: Yang, Yunfei^1,2 (AUTHOR) yangyunfei@mail.sysu.edu.cn

Source: Analysis & Applications. Oct2025, p1-21. 21p.

Subject Terms: *SOBOLEV spaces, *INTERPOLATION, *EIGENVALUES, *INTERPOLATION spaces, *SMOOTHNESS of functions, *APPROXIMATION error, *INTERPOLATION algorithms

Two-scale density of almost smooth functions in sphere-valued Sobolev spaces: A high-contrast extension of the Bethuel–Zheng theory.

Authors: Davoli, Elisa Happ, Leon

Source: Advances in Calculus of Variations. Oct2025, Vol. 18 Issue 4, p1339-1359. 21p.

Subject Terms: *SOBOLEV spaces, *MICROMAGNETICS, *HILBERT space, *MULTIPLE scale method, *SPHERICAL functions, *VARIATIONAL approach (Mathematics)