On a semilinear fourth order elliptic problem with asymmetric nonlinearity

IF 0.7 4区数学 Q2 MATHEMATICS

Topological Methods in Nonlinear Analysis Pub Date : 2022-12-10 DOI:10.12775/tmna.2022.028

Fabiana Ferreira, E. Medeiros, Wallisom Rosa

引用次数: 0

Abstract

In this work, we address the existence of solutions for a biharmonic elliptic equation with homogeneous Navier boundary condition. The problem is asymmetric and has linear behavior on $-\infty$ and superlinear on $+\infty$. To obtain the results we apply topological methods.

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一类具有非对称非线性的半线性四阶椭圆型问题

在这项工作中，我们讨论了具有齐次Navier边界条件的双调和椭圆方程解的存在性。该问题是不对称的，在$-\infty$上具有线性行为，在$+\infty$中具有超线性行为。为了获得结果，我们应用拓扑方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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.