Critical Neumann problem for nonlinear elliptic systems in exterior domains

In this paper, we investigate the Neumann problem for a critical elliptic system in exterior domains. Assuming that the coefficient $Q(x)$ is a positive smooth function and $lambda$, $mugeq0$ are parameters, we examine the common effect of the mean curvature of the boundary $partial Omega $ and...

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Main Authors:	Jianfu Yang, Shengbing Deng
Format:	Article
Language:	English
Published:	Texas State University 2008-11-01
Series:	Electronic Journal of Differential Equations
Subjects:	Neumann problem elliptic systems exterior domains critical Sobolev exponent least energy solutions
Online Access:	http://ejde.math.txstate.edu/Volumes/2008/153/abstr.html

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spelling	doaj-74e983e2adde4af4a8eb3a01886298c52020-11-24T21:49:49ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912008-11-012008153,113Critical Neumann problem for nonlinear elliptic systems in exterior domainsJianfu YangShengbing DengIn this paper, we investigate the Neumann problem for a critical elliptic system in exterior domains. Assuming that the coefficient $Q(x)$ is a positive smooth function and $lambda$, $mugeq0$ are parameters, we examine the common effect of the mean curvature of the boundary $partial Omega $ and the shape of the graph of the coefficient $Q(x)$ on the existence of the least energy solutions.http://ejde.math.txstate.edu/Volumes/2008/153/abstr.htmlNeumann problemelliptic systemsexterior domainscritical Sobolev exponentleast energy solutions
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Jianfu Yang Shengbing Deng
spellingShingle	Jianfu Yang Shengbing Deng Critical Neumann problem for nonlinear elliptic systems in exterior domains Electronic Journal of Differential Equations Neumann problem elliptic systems exterior domains critical Sobolev exponent least energy solutions
author_facet	Jianfu Yang Shengbing Deng
author_sort	Jianfu Yang
title	Critical Neumann problem for nonlinear elliptic systems in exterior domains
title_short	Critical Neumann problem for nonlinear elliptic systems in exterior domains
title_full	Critical Neumann problem for nonlinear elliptic systems in exterior domains
title_fullStr	Critical Neumann problem for nonlinear elliptic systems in exterior domains
title_full_unstemmed	Critical Neumann problem for nonlinear elliptic systems in exterior domains
title_sort	critical neumann problem for nonlinear elliptic systems in exterior domains
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2008-11-01
description	In this paper, we investigate the Neumann problem for a critical elliptic system in exterior domains. Assuming that the coefficient $Q(x)$ is a positive smooth function and $lambda$, $mugeq0$ are parameters, we examine the common effect of the mean curvature of the boundary $partial Omega $ and the shape of the graph of the coefficient $Q(x)$ on the existence of the least energy solutions.
topic	Neumann problem elliptic systems exterior domains critical Sobolev exponent least energy solutions
url	http://ejde.math.txstate.edu/Volumes/2008/153/abstr.html
work_keys_str_mv	AT jianfuyang criticalneumannproblemfornonlinearellipticsystemsinexteriordomains AT shengbingdeng criticalneumannproblemfornonlinearellipticsystemsinexteriordomains
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Critical Neumann problem for nonlinear elliptic systems in exterior domains

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