各向异性非线性椭圆型方程两个正解的存在性

IF 1.5 3区数学 Q1 MATHEMATICS

Advances in Differential Equations Pub Date : 2021-04-01 DOI:10.57262/ade026-0506-229

G. Bonanno, G. D'Aguí, A. Sciammetta

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引用次数: 2

摘要

本文研究了一类由各向异性拉普拉斯算子驱动的非线性椭圆型方程非平凡解的存在性。特别地，获得了两个非平凡解的存在性，将两个临界点的结果适应于涉及各向异性Sobolev空间的合适的函数框架。

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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Existence of two positive solutions for anisotropic nonlinear elliptic equations

. This paper deals with the existence of nontrivial solutions for a class of nonlinear elliptic equations driven by an anisotropic Laplacian operator. In particular, the existence of two nontrivial solutions is obtained, adapting a two critical point result to a suitable functional framework that involves the anisotropic Sobolev spaces.

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来源期刊

Advances in Differential Equations MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Advances in Differential Equations will publish carefully selected, longer research papers on mathematical aspects of differential equations and on applications of the mathematical theory to issues arising in the sciences and in engineering. Papers submitted to this journal should be correct, new and non-trivial. Emphasis will be placed on papers that are judged to be specially timely, and of interest to a substantial number of mathematicians working in this area.