location: Current position: Home >> Scientific Research >> Paper Publications

A priori estimates for nonlinear differential inequalities and applications

Hits:

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:723-733

ISSN No.:0022-247X

Key Words:Nonlinear differential inequality; A priori estimates; Harnack-type inequality; Strongly-p-coercive

Abstract:The aim of the paper is to derive a priori estimates and obtain the Harnack-type inequalities of positive weak solutions for the nonlinear differential inequalities in an exterior domain or interior domain. By using the test function method developed by Mitidieri and Pohozaev, we extend and improve some known results proved by Serrin and Zou. Bidaut-Veron and Pohozaev. (C) 2010 Elsevier Inc. All rights reserved.

Pre One:Overdetermined boundary value problems with strongly nonlinear elliptic PDE

Next One:Comparison results for nonlinear degenerate Dirichlet and Neumann problems with general growth in the gradient