Amann-Zehnder type results for p-Laplace problems

Autor:	Silvia Cingolani, Marco Degiovanni, Giuseppina Vannella
Jazyk:	angličtina
Rok vydání:	2018
Předmět:	35J62 35J92 58E05 Class (set theory) media_common.quotation_subject Type (model theory) 01 natural sciences nontrivial solutions Mathematics - Analysis of PDEs p-area functional FOS: Mathematics Applied mathematics 0101 mathematics Morse theory Mathematics media_common Laplace transform p-Laplace operator functionals with lack of smoothness Applied Mathematics Operator (physics) 010102 general mathematics morse theory Infinity Settore MAT/05 - ANALISI MATEMATICA 010101 applied mathematics p-Laplace operator p-area functional nontrivial solutions morse theory critical groups functionals with lack of smoothness Nonlinear system Principal part critical groups Analysis of PDEs (math.AP)
Popis:	The existence of a nontrivial solution is proved for a class of quasilinear elliptic equations involving, as principal part, either the p-Laplace operator or the operator related to the p-area functional, and a nonlinearity with p-linear growth at infinity. To this aim, Morse theory techniques are combined with critical groups estimates.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2aeae9c6f199ddad3ba182d894bb7f97 http://hdl.handle.net/10807/116639 Zobrazit plný text záznamu