Multiple and sign-changing solutions for the multivaluedp-Laplacian equation

DOI10.1002/MANA.200710049zbMath1194.35522OpenAlexW2102569342MaRDI QIDQ3585612

Motreanu, Dumitru, Siegfried Carl

Publication date: 20 August 2010

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200710049

zbMATH Keywords

nonsmooth critical point theory\(p\)-LaplacianFučik spectrumsign-changing solutioncomparison principlesClarke's generalized gradientelliptic inclusions

Mathematics Subject Classification ID

Variational inequalities (49J40) Nonsmooth analysis (49J52) PDEs with multivalued right-hand sides (35R70) Nonlinear elliptic equations (35J60) Applications of operator theory to differential and integral equations (47N20) Variational methods for second-order elliptic equations (35J20) Comparison principles in context of PDEs (35B51)

Related Items (7)

Existence of multiple solutions for quasi-linear degenerate elliptic equations ⋮ The Fučík Spectrum for the Negative p-Laplacian with Different Boundary Conditions ⋮ Sign-changing solutions for nonlinear elliptic problems depending on parameters ⋮ Multiple solution results for elliptic Neumann problems involving set-valued nonlinearities ⋮ Multiple solutions for quasilinear elliptic problems via critical points in open sublevels and truncation principles ⋮ Existence of the eigenvalues for the cone degenerate \(p\)-Laplacian ⋮ Multiple solutions for nonlinear cone degenerate elliptic equations

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