A result on elliptic systems with Neumann conditions via Ricceri's three critical points theorem

DOI10.1016/j.na.2009.01.068zbMath1170.35387OpenAlexW1969302454MaRDI QIDQ1030128

Mohammmed Kbiri Alaoui, Said El Manouni

Publication date: 1 July 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.01.068

zbMATH Keywords

elliptic systems\(p\)-Laplacianthree critical points theoremNeumann conditions

Mathematics Subject Classification ID

Related Items (11)

Adaptive anisotropic Petrov-Galerkin methods for first order transport equations ⋮ Nonlinear elliptic problems involving the anisotropic \((p(\vec{x}),q(\vec{x}))\) system ⋮ Three solutions for a class of quasilinear elliptic systems involving the \(p(x)\)-Laplace operator ⋮ Multiple solutions for a Neumann system involving subquadratic nonlinearities ⋮ Multiple solutions for gradient elliptic systems with nonsmooth boundary conditions ⋮ Three solutions for a perturbed Navier problem ⋮ A note on the Neumann problem ⋮ Multiplicity results of \(p(x)\)-Laplacian systems with Neumann conditions ⋮ An existence result for a class of \(p\)-Laplacian elliptic systems involving homogeneous nonlinearities in \(\mathbb R^N\) ⋮ Existence of three solutions for a non-homogeneous Neumann problem through Orlicz-Sobolev spaces ⋮ Existence of three solutions for \((p, q)\)-biharmonic systems

Cites Work

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• A minimax inequality and its applications to ordinary differential equations
• A three critical points theorem revisited
• 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

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