Entropy solutions for a doubly nonlinear elliptic problem with variable exponent

DOI10.1016/J.JMAA.2010.05.022zbMath1200.35109OpenAlexW2074752809MaRDI QIDQ984795

Bernard K. Bonzi, Stanislas Ouaro

Publication date: 20 July 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.05.022

zbMATH Keywords

entropy production\(p(x)\)-Laplace operatorgeneralized Lebesgue-Sobolev spacesweak energy solution

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) PDEs in connection with fluid mechanics (35Q35) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (12)

Entropy solution for doubly nonlinear elliptic anisotropic problems with Robin boundary conditions ⋮ On entropy solutions of anisotropic elliptic equations with variable nonlinearity indices in unbounded domains ⋮ Entropy solutions for elliptic Schrödinger type equations under Fourier boundary conditions ⋮ Entropy solution for nonlinear elliptic problem involving variable exponent and Fourier type boundary condition ⋮ Renormalized solutions of nonlinear elliptic problems in generalized Orlicz spaces ⋮ ENTROPY SOLUTIONS FOR NONLINEAR ELLIPTIC ANISOTROPIC PROBLEMS WITH HOMOGENEOUS NEUMANN BOUNDARY CONDITION ⋮ Entropy solutions for nonlinear elliptic anisotropic homogeneous Neumann problem ⋮ Entropy and renormalized solutions of anisotropic elliptic equations with variable nonlinearity exponents ⋮ On some \(p(x)\)-quasilinear problem with right-hand side measure ⋮ Weak and entropy solutions to nonlinear Neumann boundary-value problems with variable exponents ⋮ Existence and uniqueness of entropy solutions to nonlinear parabolic problem with homogeneous Dirichlet boundary conditions involving variable exponent ⋮ Unnamed Item

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