Positive, Negative, and Nodal Solutions to Elliptic Differential Inclusions Depending on a Parameter

DOI10.1515/ans-2013-0210zbMath1271.49010OpenAlexW2258407872MaRDI QIDQ5299003

Motreanu, Dumitru, Salvatore A. Marano, Antonio Iannizzotto

Publication date: 25 June 2013

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2013-0210

zbMATH Keywords

maximum principle\(p\)-Laplaciansign-changing solutionnon-smooth critical point theorypartial differential inclusion

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

Related Items (6)

Three solutions for a Neumann partial differential inclusion via nonsmooth Morse theory ⋮ Periodic solutions for systems with \(p\)-relativistic operator and unbounded discontinuous nonlinearities ⋮ Existence results for quasilinear elliptic equations with multivalued nonlinear terms ⋮ Existence and multiplicity of solutions for a quasilinear elliptic inclusion with a nonsmooth potential ⋮ Multiple Solutions to (p,q)-Laplacian Problems with Resonant Concave Nonlinearity ⋮ Multiple solutions to elliptic inclusions via critical point theory on closed convex sets

Cites Work

• Unnamed Item
• Existence of three nontrivial solutions for nonlinear Neumann hemivariational inequalities
• Variational methods for non-differentiable functionals and their applications to partial differential equations
• Combined effects of concave and convex nonlinearities in some elliptic problems
• Sign-changing and multiple solutions for the \(p\)-Laplacian
• Multiplicity results for some nonlinear elliptic equations
• General comparison principle for quasilinear elliptic inclusions
• Multiple Constant Sign and Nodal Solutions for Nonlinear Neumann Eigenvalue Problems
• MULTIPLE SOLUTIONS FOR A DIRICHLET PROBLEM WITH p-LAPLACIAN AND SET-VALUED NONLINEARITY
• Boundary regularity for solutions of degenerate elliptic equations

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