Noncoercive resonant (p,2)-equations with concave terms

Autor:	Papageorgiou Nikolaos S., Zhang Chao
Jazyk:	angličtina
Rok vydání:	2018
Předmět:	concave term resonance nonlinear regularity theory nonlinear maximum principle strong comparison principle truncation critical groups constant sign and nodal solutions 35j20 35j60 58e05 Analysis QA299.6-433
Zdroj:	Advances in Nonlinear Analysis, Vol 9, Iss 1, Pp 228-249 (2018)
Druh dokumentu:	article
ISSN:	2191-950X 40688275
DOI:	10.1515/anona-2018-0175
Popis:	We consider a nonlinear Dirichlet problem driven by the sum of a p-Laplace and a Laplacian (a (p,2){(p,2)}-equation). The reaction exhibits the competing effects of a parametric concave term plus a Caratheodory perturbation which is resonant with respect to the principle eigenvalue of the Dirichlet p-Laplacian. Using variational methods together with truncation and comparison techniques and Morse theory (critical groups), we show that for all small values of the parameter, the problem has as least six nontrivial smooth solutions all with sign information (two positive, two negative and two nodal (sign changing)).
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/2c11e66f9cad40688275bcbba32c5f89 Zobrazit plný text záznamu View record in DOAJ