Nonlinear resonant problems with an indefinite potential and concave boundary condition

Autor: Andrea Scapellato, Nikolaos S. Papageorgiou
Rok vydání: 2020
Předmět:
Zdroj: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2020, Iss 51, Pp 1-16 (2020)
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2020.1.51
Popis: We consider a nonlinear elliptic problem driven by the $p$-Laplacian plus and indefinite potential term. The reaction is $(p-1)$-linear and resonant and the boundary term is concave. The problem is nonparametric. Using variational tools, together with truncation and perturbation techniques and critical groups, we show that the problem has at least three nontrivial smooth solutions.
Databáze: OpenAIRE