Nonexistence of solutions for nonlinear differential inequalities with gradient nonlinearities

Li X.; Li F.

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Nonexistence of solutions for nonlinear differential inequalities with gradient nonlinearities

机译：具有梯度非线性的非线性微分不等式解的不存在性。

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摘要

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

机译：本文的目的是证明具有梯度非线性的非线性微分不等式的非负弱解的一些不存在结果。〜N。证明是基于Bidaut-Véron，Mitidieri和Pohozaev在[3]和[14]中开发的测试函数方法。

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《Communications on pure and applied analysis》 |2012年第3期|共9页
作者
Li X.; Li F.;
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正文语种 eng
中图分类数学;
关键词
Gradient term; Nonlinear differential inequality; Test function method;

机译：梯度项非线性微分不等式测试函数法;

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1. Nonexistence of solutions for nonlinear differential inequalities with gradient nonlinearities [J] . Li X., Li F. Communications on pure and applied analysis . 2012,第3期

机译：具有梯度非线性的非线性微分不等式解的不存在性。
2. Nonexistence of Solutions for Nonlinear Differential Inequalities with Singularities on Unbounded Sets [J] . Xiaohong Li, Haitao Wan, Xiliang Li Mathematical notes . 2020,第1a2期

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3. Nonexistence of global solutions to new ordinary differential inequality and applications to nonlinear dispersive equations [J] . Kutev Nikolay, Kolkovska Natalia, Dimova Milena Mathematical Methods in the Applied Sciences . 2016,第9期

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4. The Method of Exponential Differential Inequality in the Estimation of Solutions of Nonlinear Systems in the Vicinity of the Zero of the State Space [C] . G. I. Melnikov, V. G. Melnikov, N. A. Dudarenko, Conference on Modern Engineering: Science and Education . 2021

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5. Existence and nonexistence of solutions to mixed nonlinear boundary value problems [D] . Trainor, Nicholas 2012

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6. Partial differential systems with non-local nonlinearities: generation and solutions [O] . Margaret Beck, Anastasia Doikou, Simon J. A. Malham, -1

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7. NONEXISTENCE OF GLOBAL SOLUTIONS TO A CLASS OF NONLINEAR DIFFERENTIAL INEQUALITIES AND APPLICATION TO HYPERBOLIC–ELLIPTIC PROBLEMS [O] . N. Alaa, M. Guedda 2001

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Nonexistence of solutions for nonlinear differential inequalities with gradient nonlinearities

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