Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2010-11-01

Journal: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

Included Journals: Scopus、EI、SCIE

Volume: 73

Issue: 9

Page Number: 3069-3082

ISSN: 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.