Sign-changing and constant-sign solutions for \(p\)-Laplacian problems with jumping nonlinearities

DOI10.1016/J.JDE.2010.08.017zbMath1205.35137OpenAlexW1963613381MaRDI QIDQ615980

Mieko Tanaka, Motreanu, Dumitru

Publication date: 7 January 2011

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2010.08.017

zbMATH Keywords

mountain pass theoremFučík spectrum of the \(p\)-Laplaciansub-solution and super-solution

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (12)

Sign-changing solutions for asymptotically linear operator equations and applications ⋮ Nonlinear elliptic equations with a jumping reaction ⋮ The Fučík Spectrum for the Negative p-Laplacian with Different Boundary Conditions ⋮ Sign-changing semi-classical solutions of the Brezís-Nirenberg problems with jump nonlinearities in high dimensions ⋮ Sign-changing solutions for nonlinear operator equations ⋮ Existence of solutions for quasilinear elliptic equations with jumping nonlinearities under the Neumann boundary condition ⋮ Multiple existence results of solutions for the Neumann problems via super- and sub-solutions ⋮ On the Fučik spectrum for the \(p\)-Laplacian with Robin boundary condition ⋮ On a Dirichlet problem with \(p\)-Laplacian and asymmetric nonlinearity ⋮ Existence of nontrivial solutions for Kirchhoff-type problems with jumping nonlinearities ⋮ Existence of the Fučík type spectrums for the generalized \(p\)-Laplace operators ⋮ Elliptic hemivariational inequalities with nonhomogeneous Neumann boundary conditions and their applications to static frictional contact problems

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• On harnack type inequalities and their application to quasilinear elliptic equations
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