退化变指数椭圆方程解的先验界和Hölder连续性

IF 0.7 4区数学 Q2 MATHEMATICS Topological Methods in Nonlinear Analysis Pub Date : 2022-12-10 DOI:10.12775/tmna.2022.021

Ky Ho, L. Nhan, L. Truong

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引用次数: 0

摘要

研究了易指数退化椭圆型方程在Dirichlet边界条件下解的有界性和正则性。利用De Giorgi迭代，得到了解的先验界和Hölder连续性。作为一个应用，我们得到了一类变指数退化椭圆型方程无穷小解的存在性。

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A-priori bound and Hölder continuity of solutions to degenerate elliptic equations with variable exponents

We investigate the boundedness and regularity of solutions to degenerate elliptic equations with variable exponents that are subject to the Dirichlet boundary condition. By employing the De Giorgi iteration, we obtain a-priori bounds and the Hölder continuity for solutions. As an application, we obtain the existence of infinitely many small solutions for a class of degenerate elliptic equations involving variable exponents.

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来源期刊

Topological Methods in Nonlinear Analysis 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Topological Methods in Nonlinear Analysis (TMNA) publishes research and survey papers on a wide range of nonlinear analysis, giving preference to those that employ topological methods. Papers in topology that are of interest in the treatment of nonlinear problems may also be included.