Radially Symmetric Solutions of the p-Laplace Equation with Gradient Terms

被引：0

作者：

Tersenov A.S. ^{[1
,2
]}

机构：

[1] Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk

[2] Novosibirsk State University, ul. Pirogova 2, Novosibirsk

来源：

Journal of Applied and Industrial Mathematics | 2018年 / 12卷 / 04期

基金：

俄罗斯基础研究基金会;

关键词：

Dirichlet problem; gradient nonlinearity; p-Laplace equation; radially symmetric solution;

D O I：

10.1134/S1990478918040178

中图分类号：

学科分类号：

摘要：

We consider the Dirichlet problem for the p-Laplace equation with nonlinear gradient terms. In particular, these gradient terms cannot satisfy the Bernstein—Nagumo conditions. We obtain some sufficient conditions that guarantee the existence of a global bounded radially symmetric solution without any restrictions on the growth of the gradient term. Also we present some conditions on the function simulating the mass forces, which allow us to obtain a bounded radially symmetric solution under presence of an arbitrary nonlinear source. © 2018, Pleiades Publishing, Ltd.

引用

页码：770 / 784

页数：14

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