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Indexed by:期刊论文

Date of Publication:2011-06-15

Journal:JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Included Journals:SCIE

Volume:378

Issue:2

Page Number:749-763

ISSN No.:0022-247X

Key Words:Comparison results; Rearrangements; Degenerate; Nonlinear elliptic equation

Abstract:This paper deals with both Dirichlet and Neumann problems for a class of nonlinear degenerate elliptic equations with general growth in the gradient. First, we give an existence result of a spherically symmetric solution to the "symmetrized" problems with data depending only on the radials. Second, we prove that the solutions of the original problems can be compared, under a rearrangement, with the solutions of the "symmetrized" problems. (C) 2011 Elsevier Inc. All rights reserved.