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Indexed by:期刊论文

Date of Publication:2010-11-01

Journal:NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

Included Journals:SCIE、EI、Scopus

Volume:73

Issue:9

Page Number:3069-3082

ISSN No.:0362-546X

Key Words:Degenerate elliptic equations; Weak solution; L-infinity estimate; Renormalized solution

Abstract:This paper deals with a class of degenerate quasilinear elliptic equations of the form -div(a(x, u, del u) = g - div(f), where a(x, u, del u) is allowed to be degenerate with the unknown u. We prove existence of bounded solutions under some hypothesis on f and g. Moreover we prove that there exists a renormalized solution in the case where g is an element of L-1(Omega) and f is an element of (L-p'(Omega))(N). (C) 2010 Elsevier Ltd. All rights reserved.