Critical group estimates for nonregular critical points of functionals associated with quasilinear elliptic equations

Autor:	Marco Degiovanni, Giuseppina Vannella, Silvia Cingolani
Jazyk:	angličtina
Rok vydání:	2015
Předmět:	Numerical Analysis Pure mathematics Partial differential equation p-area operator p-Laplace operator functionals with lack of smoothness Applied Mathematics 010102 general mathematics Mathematical analysis p-area operator p-Laplace operator functionals with lack of smoothness critical groups Morse index 01 natural sciences Critical point (mathematics) Settore MAT/05 - ANALISI MATEMATICA Morse index 010101 applied mathematics Critical group Principal part 0101 mathematics critical groups Analysis Mathematics
Popis:	We consider a class of quasilinear elliptic equations whose principal part includes the p-area and the p-Laplace operators, when p lies in a suitable left neighborhood of 2. For the critical points of the associated functional, we provide estimates of the corresponding critical groups, under assumptions that do not guarantee any further regularity of the critical point.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::acc0c6e9dfc4814cc017667544fd0315 http://hdl.handle.net/11589/20144 Zobrazit plný text záznamu