On the Existence of Radially Symmetric Solutions for the p-Laplace Equation with Strong Gradient Nonlinearities

被引：0
作者：
Tersenov, Ar. S. [1 ]
机构：
[1] Sobolev Inst Math, Novosibirsk, Russia
来源：
SIBERIAN MATHEMATICAL JOURNAL | 2023年 / 64卷 / 06期
关键词：
Bernstein-Nagumo condition; a priori estimates; radially symmetric solutions; P-Laplace equation; QUASI-LINEAR EQUATIONS; GLOBAL EXISTENCE;
D O I：
10.1134/S0037446623060162
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the Dirichlet problem for the P-Laplace equation in presence of a gradient not satisfying the Bernstein-Nagumo type condition. We define some class of gradient nonlinearities, for which we prove the existence of a radially symmetric solution with a H & ouml;lder continuous derivative.
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收藏
页码：1443 / 1454
页数：12
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