Concentrating solutions for a two-dimensional elliptic problem with large exponent in weighted nonlinearity

Autor:	Haitao Yang, Yibin Chang
Rok vydání:	2013
Předmět:	Numerical Analysis Continuous function Applied Mathematics Mathematical analysis Domain (mathematical analysis) Computational Mathematics symbols.namesake Integer Bounded function Dirichlet boundary condition symbols Exponent Limit (mathematics) Boundary value problem Analysis Mathematics
Zdroj:	Complex Variables and Elliptic Equations. 59:1096-1117
ISSN:	1747-6941 1747-6933
Popis:	We study the boundary value problem in a bounded smooth domain in with Dirichlet boundary condition, where , , , is the set of different sources in , is a continuous function such that for any and p is a large exponent. For any integer, we find a condition which ensures the existence of a positive solution with distinct concentration points only involving the part sources as , except for the other sources, where the concentration points and sources coincide at the limit.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b3292ac3790282a6742b92670211c8cc https://doi.org/10.1080/17476933.2013.809571 Zobrazit plný text záznamu