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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2020 Volume 107, Issue 1, Pages 121–128 (Mi mzm12699)

This article is cited in 1 paper

Papers published in the English version of the journal

Nonexistence of Solutions for Nonlinear Differential Inequalities with Singularities on Unbounded Sets

Xiaohong Li, Haitao Wan, X. Li

Shandong Technology and Business University, Yantai, Shandong, 264005 China

Abstract: We study some new Liouville theorems for nonlinear differential inequalities with gradient terms and singular variable coefficients that have singularities on unbounded sets. The proofs are based on the test function method developed by Mitidieri and Pohozaev.

Keywords: nonlinear differential inequality, test function method, gradient term.

Received: 14.12.2017
Revised: 19.04.2019

Language: English


 English version:
Mathematical Notes, 2020, 107:1, 121–128

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© Steklov Math. Inst. of RAS, 2024