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

Autor:	Papageorgiou Nikolaos S., Zhang Youpei
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	superlinear reaction ar–condition concave boundary term constant sign and nodal solutions critical groups nonlinear regularity theory indefinite potential 35j20 35j60 Analysis QA299.6-433
Zdroj:	Advances in Nonlinear Analysis, Vol 10, Iss 1, Pp 76-101 (2020)
Druh dokumentu:	article
ISSN:	2191-9496 2191-950X
DOI:	10.1515/anona-2020-0101
Popis:	We consider a nonlinear elliptic equation driven by the (p, q)–Laplacian plus an indefinite potential. The reaction is (p − 1)–superlinear and the boundary term is parametric and concave. Using variational tools from the critical point theory together with truncation, perturbation and comparison techniques and critical groups, we show that for all small values of the parameter, the problem has at least five nontrivial smooth solutions, all with sign information and which are linearly ordered.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/d3b806162d424258aaab783d2ad0378d Zobrazit plný text záznamu View record in DOAJ