Weak and entropy solutions to nonlinear Neumann boundary-value problems with variable exponents

DOI10.1080/17476933.2010.504840zbMath1229.35046OpenAlexW2034247970MaRDI QIDQ3093071

Safimba Soma, Stanislas Ouaro

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/10.1080/17476933.2010.504840

zbMATH Keywords

weak solutionsentropy solutions\(p(x)\)-Laplace operatorgeneralized Lebesgue and Sobolev spaces

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Weak solutions to PDEs (35D30) Variational methods for second-order elliptic equations (35J20) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)

Related Items (6)

Unnamed Item ⋮ Renormalized solutions for \(p(x)\)-Laplacian equation with Neumann nonhomogeneous boundary condition ⋮ Second order regularity for the \(p (x)\)-Laplace equations with \(L^2\) data on the right-hand side ⋮ Entropy solution for nonlinear elliptic problem involving variable exponent and Fourier type boundary condition ⋮ Existence results to a nonlinearp(x)-Laplace equation with degenerate coercivity and zero-order term: renormalized and entropy solutions ⋮ Entropy solution for a nonlinear parabolic problem with homogeneous Neumann boundary condition involving variable exponents

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