Multiplicity results of \(p(x)\)-Laplacian systems with Neumann conditions

DOI10.1007/s11587-011-0107-zzbMath1262.35101OpenAlexW1975608129MaRDI QIDQ691659

Said El Manouni

Publication date: 3 December 2012

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-011-0107-z

zbMATH Keywords

elliptic systemsthree critical points theoremNeumann conditions\(p(x)\)-Laplacian

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for elliptic systems (35J50)

Cites Work

• Unnamed Item
• A minimax inequality and its applications to ordinary differential equations
• Orlicz spaces and modular spaces
• A three critical points theorem revisited
• Existence and multiplicity of solutions for a general \(p(x)\)-Laplacian Neumann problem
• Three solutions for a Neumann-type differential inclusion problem involving the \(p(x)\)-Laplacian
• A result on elliptic systems with Neumann conditions via Ricceri's three critical points theorem
• Some remarks on a three critical points theorem
• Three solutions to a Neumann problem for elliptic equations involving the \(p\)-Laplacian
• Existence of solutions of the Neumann problem for a class of equations involving the \(p\)-Laplacian via a variational principle of Ricceri
• A general variational principle and some of its applications
• Existence of three solutions for \(p(x)\)-Laplacian equations
• Flow of shear dependent electrorheological fluids
• Existence and multiplicity of solutions for a Neumann problem involving the \(p(x)\)-Laplace operator
• 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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