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NONEXISTENCE OF SOLUTIONS FOR NONLINEAR DIFFERENTIAL INEQUALITIES WITH GRADIENT NONLINEARITIES

Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2012-05-01

Journal: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS

Included Journals: Scopus、SCIE

Volume: 11

Issue: 3

Page Number: 935-943

ISSN: 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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