Multiple solutions with sign information for a \(( p, 2)\)-equation with combined nonlinearities

DOI10.1016/j.na.2019.111716zbMath1436.35117OpenAlexW2992468615MaRDI QIDQ1985836

Francesca Vetro, Calogero Vetro, Nikolaos S. Papageorgiou

Publication date: 7 April 2020

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2019.111716

zbMATH Keywords

critical groupsflow invariancestrong comparison principleconstant sign and nodal solutionsnonlinear regularityconvex-concave problem

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 (12)

Multiple constant sign and nodal solutions for nonlinear nonhomogeneous elliptic equations depending on a parameter ⋮ Multiplicity of positive solutions for (p,q)-Laplace equations with two parameters ⋮ On noncoercive \((p, q)\)-equations ⋮ Homoclinic solutions of nonlinear Laplacian difference equations without Ambrosetti-Rabinowitz condition ⋮ Pairs of nontrivial smooth solutions for nonlinear Neumann problems ⋮ Positive solutions for parametric singular Dirichlet \(( p, q)\)-equations ⋮ Positive solutions for a class of nonlinear parametric Robin problems ⋮ Existence and multiplicity of solutions for a class of anisotropic double phase problems ⋮ On the set of positive solutions for resonant Robin \((p, q)\)-equations ⋮ Singular (p, q)-equations with superlinear reaction and concave boundary condition ⋮ Solutions for parametric double phase Robin problems ⋮ Positive solutions for double phase problems with combined nonlinearities

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