Anisotropic variable exponent Sobolev spaces and -Laplacian equations

From MaRDI portal
Publication:3093061

DOI10.1080/17476931003728412zbMath1236.46029OpenAlexW2074122798MaRDI QIDQ3093061

Xian-Ling Fan

Publication date: 12 October 2011

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

Full work available at URL: https://doi.org/10.1080/17476931003728412




Related Items (47)

On \(\vec {p}(x)\)-anisotropic problems with Neumann boundary conditionsOn Solutions of Elliptic Equations with Variable Exponents and Measure Data in RNonlinear anisotropic degenerate parabolic equations with variable exponents and irregular dataThe existence of strong solutions to steady motion of electrorheological fluids in 3D cubic domainInfinitely many solutions for anisotropic elliptic equations with variable exponentExistence of solutions of anisotropic elliptic equations with variable exponents in unbounded domainsMultiplicity of solutions for an anisotropic variable exponent problemMultiple solutions for a system involving an anisotropic variable exponent operatorImbedding results in Musielak-Orlicz spaces with an application to anisotropic nonlinear Neumann problemsOn entropy solutions of anisotropic elliptic equations with variable nonlinearity indices in unbounded domainsOn a class of anisotropic nonlinear elliptic equations with variable exponentInfinitely many solutions for anisotropic variable exponent problemsOn some \(\overrightarrow{p(x)}\) anisotropic elliptic equations in unbounded domainDistributional solutions of anisotropic nonlinear elliptic systems with variable exponents: existence and regularityExistence and multiplicity of solutions for a singular anisotropic problem with a sign-changing termMultiple solutions for two general classes of anisotropic systems with variable exponentsEquivalence of entropy and renormalized solutions of anisotropic elliptic problem in unbounded domains with measure dataExistence and uniqueness of renormalized solution to nonlinear anisotropic elliptic problems with variable exponent and \(L^1\)-dataExistence and global second-order regularity for anisotropic parabolic equations with variable growthAnisotropic degenerate parabolic problems in \(\mathbb{R}^N\) with variable exponent and locally integrable dataSolutions of an anisotropic elliptic problem involving nonlinear termsExistence results for an anisotropic variable exponent Kirchhoff-type problemWeak and renormalized solutions for anisotropic Neumann problems with degenerate coercivityMinimization of elliptic non-local functionals involving \(\vec{p}(\cdot)\)-Laplacian\(C^{1, \alpha}\)-regularity for steady flows of electrorheological fluids in 2DOn a nonlocal anisotropic system with variable exponentsExistence and multiplicity of solutions for anisotropic elliptic equationAnisotropic elliptic equations with gradient-dependent lower order terms and \(L^1\) dataExistence and uniqueness of renormalized solutions to parabolic problems for equations with diffuse measureUnnamed ItemAnisotropic Neumann problems in Sobolev spaces with variable exponentGlobal regularity of weak solutions for steady motions of electrorheological fluids in 3D smooth domainAnisotropic nonlinear weighted elliptic equations with variable exponentsENTROPY SOLUTIONS FOR NONLINEAR ELLIPTIC ANISOTROPIC PROBLEMS WITH HOMOGENEOUS NEUMANN BOUNDARY CONDITIONEntropy and renormalized solutions of anisotropic elliptic equations with variable nonlinearity exponentsA multiplicity result for an elliptic anisotropic differential inclusion involving variable exponentsExistence of solutions for an anisotropic elliptic problem with variable exponent and singularityExistence and multiplicity of weak solutions for a Neumann elliptic problem with \(\vec{p}(x)\)-LaplacianThree weak solutions for a Neumann elliptic equations involving the \(\vec{p}(x)\)-Laplacian operatorEntropy solutions for nonlinear anisotropic elliptic equations with variable exponents and degenerate coercivityExistence of solutions of anisotropic elliptic equations with variable indices of nonlinearity in \(\mathbb{R}^N\)On solutions of anisotropic elliptic equations with variable exponent and measure dataThe existence of strong solution for generalized Navier-Stokes equations with \(p(x)\)-power law under Dirichlet boundary conditionsExistence of weak solutions of aggregation integro-differential equationsAnisotropic degenerate elliptic problems in \({\mathbb{R}}^N\) with variable exponent and locally integrable dataNo-flux boundary value problems with anisotropic variable exponentsNontrivial solution for an anisotropic variable exponent problem with Neumann boundary condition



Cites Work


This page was built for publication: Anisotropic variable exponent Sobolev spaces and -Laplacian equations