Multiplicity of weak solutions for a class of nonuniformly elliptic equations of p-Laplacian type

Title:	Multiplicity of weak solutions for a class of nonuniformly elliptic equations of p-Laplacian type
Authors:	Hoang, Quoc Toan Ngo, Quoc Anh
Keywords:	p-Laplacian;Nonuniform elliptic equations;Multiplicity
Issue Date:	2009
Publisher:	PERGAMON-ELSEVIER SCIENCE LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND
Citation:	ISIKNOWLEDGE
Abstract:	This paper deals with the multiplicity of weak solutions in W 1 0 . / to a class of nonuniformly elliptic equations of the form div.a.x ; ru// D h.x /juj r 1 u C g.x /juj s 1 u in a bounded domain of R N . Here a satisfies ja.x ; /j 5 c0.h 0.x / C h 1.x /j j p 1 / for all 2 R N , a.e. x 2 , h 0 2 L p p 1 . /, h 1 2 L 1 loc . /, h 1.x / = 1 for a.e. x in , 1 < r < p 1 < s < .Np N C p/=. N p/. c 2008 Elsevier Ltd. All rights reserved.
Description:	TNS07499 ; NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS Volume: 70 Issue: 4 Pages: 1536-1546
URI:	http://repository.vnu.edu.vn/handle/VNU_123/30560 http://www.sciencedirect.com/science/article/pii/S0362546X08000990
ISSN:	0362-546X
Appears in Collections:	Bài báo của ĐHQGHN trong Web of Science