On solutions of anisotropic elliptic equations with variable exponent and measure data

DOI10.1080/17476933.2019.1579206zbMath1433.35044arXiv1808.09624OpenAlexW2964210302WikidataQ127842130 ScholiaQ127842130MaRDI QIDQ5213345

L. M. Kozhevnikova

Publication date: 3 February 2020

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.09624

zbMATH Keywords

unbounded domainanisotropic elliptic equationexistence of an entropy solutionvariable exponent nonlinearity

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62)

Related Items (6)

On Solutions of Elliptic Equations with Variable Exponents and Measure Data in R ⋮ Existence of solutions of nonlinear elliptic equations with measure data in Musielak-Orlicz spaces ⋮ Existence of an entropic solution of a nonlinear elliptic problem in an unbounded domain ⋮ Renormalized solutions of elliptic equations with variable exponents and general measure data ⋮ Existence of a renormalized solution to an anisotropic parabolic problem for an equation with diffuse measure ⋮ Anisotropic problem with non-local boundary conditions and measure data

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