Existence of two positive solutions for anisotropic nonlinear elliptic equations

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-04-01 DOI:10.57262/ade026-0506-229

G. Bonanno, G. D'Aguí, A. Sciammetta

引用次数: 2

Abstract

. 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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各向异性非线性椭圆型方程两个正解的存在性

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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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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