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NONEXISTENCE OF SOLUTIONS FOR NONLINEAR DIFFERENTIAL INEQUALITIES WITH GRADIENT NONLINEARITIES

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Indexed by:期刊论文

Date of Publication:2012-05-01

Journal:COMMUNICATIONS ON PURE AND APPLIED ANALYSIS

Included Journals:SCIE、Scopus

Volume:11

Issue:3

Page Number:935-943

ISSN No.:1534-0392

Key Words:Nonlinear differential inequality; test function method; gradient term

Abstract:The aim of this paper is to prove some nonexistence results for nonnegative weak solutions of the nonlinear differential inequalities with gradient nonlinearities in R-N. The proofs are based on the test function method developed by Bidaut-Veron, Mitidieri and Pohozaev in [3] and [14].

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