Multiplicity results for a Neumann problem with \(p\)-Laplacian and non-smooth potential

DOI10.1007/BF02874672zbMath1150.35022OpenAlexW2040945938MaRDI QIDQ997526

Giovanni Molica Bisci, Salvatore A. Marano

Publication date: 7 August 2007

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02874672

zbMATH Keywords

\(p\)-LaplacianMultiple solutionsElliptic equations with discontinuous nonlinearritiesElliptic hemivariational inequalities

Mathematics Subject Classification ID

Variational inequalities (49J40) Variational methods for second-order elliptic equations (35J20)

Related Items (1)

A multiplicity theorem for the Neumann \(p\)-Laplacian with an asymmetric nonsmooth potential

Cites Work

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• On a Neumann problem with \(p\)-Laplacian and non-smooth potential.
• A Green's formula for quasilinear elliptic operators
• Variational methods for non-differentiable functionals and their applications to partial differential equations
• Minimax theorems and qualitative properties of the solutions of hemivariational inequalities
• Elliptic boundary-value problems with discontinuous nonlinearities
• Critical points for nondifferentiable functions in presence of splitting
• Remarks on finding critical points
• INFINITELY MANY SOLUTIONS TO THE NEUMANN PROBLEM FOR ELLIPTIC EQUATIONS INVOLVING THE p-LAPLACIAN AND WITH DISCONTINUOUS NONLINEARITIES
• On a three critical points theorem for non-differentiable functions and applications to nonlinear boundary value problems

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