Well-posedness result for a nonlinear elliptic problem involving variable exponent and Robin type boundary condition

zbMath1242.35110MaRDI QIDQ421939

A. Tchousso, Stanislas Ouaro

Publication date: 15 May 2012

Published in: African Diaspora Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.adjm/1323180285

zbMATH Keywords

weak solutionentropy solutionLebesgue and Sobolev spaces with variable exponentRobin type boundary condition

Mathematics Subject Classification ID

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 (10)

Unnamed Item ⋮ Rothe time-discretization method for a nonlinear parabolic \(p(u)\)-Laplacian problem with Fourier-type boundary condition and \(L^1\)-data ⋮ Renormalized solutions for \(p(x)\)-Laplacian equation with Neumann nonhomogeneous boundary condition ⋮ Nonlinear elliptic p(u)− Laplacian problem with Fourier boundary condition ⋮ Structural Stability of p(x)-Laplace Problems with Robin-Type Boundary Condition ⋮ Entropy solution for nonlinear elliptic problem involving variable exponent and Fourier type boundary condition ⋮ Quasi-linear variable exponent boundary value problems with Wentzell-Robin and Wentzell boundary conditions ⋮ Fine regularity for elliptic and parabolic anisotropic Robin problems with variable exponents ⋮ Structural Stability of Nonlinear Elliptic p(u)-Laplacian Problem with Robin Type Boundary Condition ⋮ Entropy solution for a nonlinear parabolic problem with homogeneous Neumann boundary condition involving variable exponents

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