Multiple solution results for elliptic Neumann problems involving set-valued nonlinearities

DOI10.1016/J.JMAA.2010.10.029zbMath1210.35309OpenAlexW2022065912MaRDI QIDQ626146

Patrick Winkert

Publication date: 22 February 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.10.029

zbMATH Keywords

multiple solutions\(p\)-Laplacianmountain-pass theoremClarke's generalized gradientsub-supersolution method

Mathematics Subject Classification ID

PDEs with multivalued right-hand sides (35R70) Boundary value problems for second-order elliptic equations (35J25) Variational methods applied to PDEs (35A15) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Comparison principles in context of PDEs (35B51)

Related Items (3)

The Fučík Spectrum for the Negative p-Laplacian with Different Boundary Conditions ⋮ A sub-supersolution approach for Neumann boundary value problems with gradient dependence ⋮ Elliptic hemivariational inequalities with nonhomogeneous Neumann boundary conditions and their applications to static frictional contact problems

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