On Solutions of Elliptic Equations with Variable Exponents and Measure Data in R

DOI10.1007/978-3-030-37326-9_14zbMath1505.35196arXiv1912.12432OpenAlexW4205477770MaRDI QIDQ5051806

L. M. Kozhevnikova

Publication date: 18 November 2022

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.12432

zbMATH Keywords

entropy solutionmeasure datavariable exponentanisotropic second-order elliptic equation

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62)

Related Items (1)

Existence of an entropic solution of a nonlinear elliptic problem in an unbounded domain

Cites Work

• On variational problems and nonlinear elliptic equations with nonstandard growth conditions
• Lebesgue and Sobolev spaces with variable exponents
• Existence of renormalized solutions to nonlinear elliptic equations with lower-order terms and right-hand side a measure.
• Existence of renormalized solutions to quasilinear elliptic problems with general measure data
• Entropy and renormalized solutions for nonlinear elliptic problem involving variable exponent and measure data
• Renormalized solutions to elliptic equations with measure data in unbounded domains
• ENTROPY AND RENORMALIZED SOLUTIONS FOR THEp(x)-LAPLACIAN EQUATION WITH MEASURE DATA
• Anisotropic variable exponent Sobolev spaces and -Laplacian equations
• Uniqueness of renormalized solutions to nonlinear elliptic equations with a lower order term and right-hand side in L¹(Ω)
• Uniqueness of the renormalized solution of an elliptic-parabolic problem in anisotropic Sobolev-Orlicz spaces
• On solutions of anisotropic elliptic equations with variable exponent and measure data
• Partial Differential Equations with Variable Exponents
• Entropy and renormalized solutions of anisotropic elliptic equations with variable nonlinearity exponents
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