On a class of critical Robin problems

DOI10.1515/forum-2019-0160zbMath1437.35217OpenAlexW2977655451MaRDI QIDQ2300656

Nikolaos S. Papageorgiou, Salvatore Leonardi

Publication date: 27 February 2020

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/forum-2019-0160

zbMATH Keywords

critical groupsextremal solutionsconstant sign and nodal solutionscut-off functioncritical termlocally defined reaction

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20)

Related Items (18)

On noncoercive \((p, q)\)-equations ⋮ Arbitrarily small nodal solutions for parametric Robin \((p, q)\)-equations plus an indefinite potential ⋮ Existence and multiplicity of positive solutions for parametric nonlinear nonhomogeneous singular Robin problems ⋮ Solutions with sign information for noncoercive double phase equations ⋮ Positive and nodal solutions for parametric superlinear weighted \(( p , q )\)-equations ⋮ Positive solutions for a class of singular \((p, q)\)-equations ⋮ Anisotropic \((p, q)\)-equations with asymmetric reaction term ⋮ Constant sign and nodal solutions for parametric anisotropic (p, 2) -equations ⋮ Anisotropic Dirichlet double phase problems with competing nonlinearities ⋮ On an anisotropic eigenvalue problem ⋮ Singular anisotropic double phase problems ⋮ Non-autonomous \((p, q)\)-equations with unbalanced growth ⋮ On the existence of weak solutions to a class of nonlinear elliptic systems with drift term ⋮ On the existence of weak solutions to a class of nonlinear elliptic systems with drift term ⋮ Nonlinear Robin problems with indefinite potential ⋮ Solutions for parametric double phase Robin problems ⋮ \((p, q)\)-equations with negative concave terms ⋮ Asymptotically vanishing nodal solutions for critical double phase problems

Cites Work

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• Nodal solutions for nonlinear nonhomogeneous Robin problems
• Positive solutions for nonlinear nonhomogeneous parametric Robin problems
• Positive solutions to a Dirichlet problem with \(p\)-Laplacian and concave-convex nonlinearity depending on a parameter
• Positive solutions for nonlinear Robin problems with indefinite potential and competing nonlinearities
• Multiple solutions with precise sign for nonlinear parametric Robin problems
• Schrödinger equations with concave and convex nonlinearities
• Boundary regularity for solutions of degenerate elliptic equations
• Nonlinear Analysis - Theory and Methods
• Resonant nonlinear Neumann problems with indefinite weight
• Variational inequalities for energy functionals with nonstandard growth conditions
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