Release Time:2019-03-09  Hits:

Indexed by: Journal Article

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: 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.