Nontrivial Solution for a Nonlocal Elliptic Transmission Problem in Variable Exponent Sobolev Spaces

Autor:	Bilal Çekiç, R. A. Mashiyev
Rok vydání:	2010
Předmět:	Sobolev space Nonlinear system Article Subject Transmission (telecommunications) Variable exponent Kirchhoff type lcsh:Mathematics Applied Mathematics Mathematical analysis lcsh:QA1-939 Analysis Sobolev inequality Mathematics
Zdroj:	Abstract and Applied Analysis, Vol 2010 (2010) Abstr. Appl. Anal.
ISSN:	1687-0409 1085-3375
DOI:	10.1155/2010/385048
Popis:	In this paper, by means of adequate variational techniques and the theory of the variable exponent Sobolev spaces, we show the existence of nontrivial solution for a transmission problem given by a system of two nonlinear elliptic equations ofp(x)-Kirchhoff type with nonstandard growth condition.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ca5fbc2cd4314e75c1c3be5e5a4cc3e8 https://doi.org/10.1155/2010/385048 Zobrazit plný text záznamu Plný text ve formátu PDF