Entropy solution for nonlinear elliptic problem involving variable exponent and Fourier type boundary condition

DOI10.1007/s13370-011-0030-1zbMath1292.35105OpenAlexW2078523612MaRDI QIDQ1945313

Stanislas Ouaro, Ismael Nyanquini

Publication date: 8 April 2013

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-011-0030-1

zbMATH Keywords

weak solutionentropy solutionSobolev spaces with variable exponentLebesgue spaces with variable exponentFourier-type boundary condition

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 (7)

Renormalized solutions to a reaction-diffusion system applied to image denoising ⋮ Existence of solutions for a class of degenerate elliptic equations in \(P(x)\)-Sobolev spaces ⋮ Entropy solutions for elliptic Schrödinger type equations under Fourier boundary conditions ⋮ Entropy Solution of Nonlinear Elliptic p(u)-Laplacian Problem ⋮ Nonlinear elliptic p(u)− Laplacian problem with Fourier boundary condition ⋮ Unnamed Item ⋮ Multivalued anisotropic problem with Fourier boundary condition involving diffuse Radon measure data and variable exponents

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