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Qualitative properties and support compactness of solutions for quasilinear Schrödinger equation with sign changing potentials
Nonlinear Analysis ( IF 1.3 ) Pub Date : 2020-04-11 , DOI: 10.1016/j.na.2020.111843 Nizar Bedoui , Hichem Ounaies
中文翻译:
具有变号势的拟线性Schrödinger方程解的定性和支持紧性。
更新日期:2020-04-11
Nonlinear Analysis ( IF 1.3 ) Pub Date : 2020-04-11 , DOI: 10.1016/j.na.2020.111843 Nizar Bedoui , Hichem Ounaies
In this paper, we deal with the following general elliptic equation involving the weigh p-Laplace operator : where , , , and change sign in . The main result of this work, establishes some qualitative properties of the solutions of the above equation. More precisely, in a first part we study the compactness of support of classical solutions. In the second part, we study the behavior and the qualitative properties of the radial classical solutions and we give a classification of these solutions.
中文翻译:
具有变号势的拟线性Schrödinger方程解的定性和支持紧性。
在本文中,我们处理以下涉及权重p-Laplace算子的一般椭圆方程: 哪里 , , 和 更改登录 。这项工作的主要结果,建立了上述方程解的一些定性性质。更准确地说,在第一部分中,我们研究了经典解决方案支持的紧凑性。在第二部分中,我们研究了径向经典解的行为和定性性质,并对这些解进行了分类。