On a class of elliptic systems involving the \(p(x)\)-Laplacian and nonlinear boundary conditions

DOI10.3103/S1068362314040037zbMath1308.35068MaRDI QIDQ2514382

Keivan Fallah, Sayyed Hashem Rasouli

Publication date: 3 February 2015

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

zbMATH Keywords

weight functionelliptic systemNehari manifold

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Positive solutions to PDEs (35B09) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items (1)

The fibering map approach for a singular elliptic system involving the $p(x)$-Laplacian and nonlinear boundary conditions

Cites Work

• The Nehari manifold for a class of concave-convex elliptic systems involving the \(p\)-Laplacian and nonlinear boundary condition
• Infinitely many solutions for a Neumann-type differential inclusion problem involving the \(p(x)\)-Laplacian
• The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function.
• Eigenvalues of the \(p(x)\)-Laplacian Steklov problem
• A semilinear elliptic system involving nonlinear boundary condition and sign-changing weight function
• Solutions for \(p(x)\)-Laplacian Dirichlet problems with singular coefficients
• Sobolev embeddings with variable exponent
• Variable Exponent, Linear Growth Functionals in Image Restoration
• Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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