Constant sign and nodal solutions for superlinear \((p, q)\)-equations with indefinite potential and a concave boundary term

DOI10.1515/anona-2020-0101zbMath1435.35145OpenAlexW3033963892MaRDI QIDQ2188414

Nikolaos S. Papageorgiou, Youpei Zhang

Publication date: 11 June 2020

Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anona-2020-0101

zbMATH Keywords

critical groupssuperlinear reactionconstant sign and nodal solutionsnonlinear regularity theoryindefinite potentialAR-conditionconcave boundary term

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Related Items

Nonlinear nonhomogeneous Dirichlet problems with singular and convection terms, The behavior of solutions of a parametric weighted \((p, q)\)-Laplacian equation, Double phase problems with competing potentials: concentration and multiplication of ground states, Multiplicity and concentration of positive solutions for fractional unbalanced double-phase problems, Arbitrarily small nodal solutions for nonhomogeneous Robin problems, Positive solutions for singular anisotropic \((p, q)\)-equations, Global multiplicity for parametric anisotropic Neumann \((p,q)\)-equations, Positive solutions for a class of nonlinear parametric Robin problems, On critical double phase Choquard problems with singular nonlinearity, \((p, q)\)-equations with singular and concave convex nonlinearities, Existence and concentration of positive solutions for a critical \(p\)\&\(q\) equation, Multiple solutions for superlinear double phase Neumann problems, On the set of positive solutions for resonant Robin \((p, q)\)-equations, Lions-type theorem of the \(p\)-Laplacian and applications, Resonant double phase equations, Anisotropic singular double Phase Dirichlet problems

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