外部域上 (p(y),q(y))-拉普拉斯椭圆问题解的存在性

IF 0.8 4区数学 Q2 MATHEMATICS

Georgian Mathematical Journal Pub Date : 2024-04-25 DOI:10.1515/gmj-2024-2022

Akanksha Kesarwani, Rasmita Kar

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引用次数: 0

摘要

本文研究了以下涉及 ( p ( y ) , q ( y ) {p(y),q(y)} )- 拉普拉卡算子的椭圆问题： { - div ( a ( y ) | ∇ v | p ( y ) - 2 ∇ v ) + b ( y ) | v

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 solutions for (p(y),q(y))-Laplacian elliptic problem on an exterior domain

In this paper, we study the following elliptic problem involving the ( p ⁢ ( y ) , q ⁢ ( y )

{p(y),q(y)}

)-Laplacian operator:

{ - div ⁡ ( a ⁢ ( y ) ⁢ | ∇ ⁡ v | p ⁢ ( y ) - 2 ⁢ ∇ ⁡ v ) + b ⁢ ( y ) ⁢ | v | p ⁢ ( y ) - 2 ⁢ v - div ⁡ ( | ∇ ⁡ v | q ⁢ ( y

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来源期刊

Georgian Mathematical Journal 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Georgian Mathematical Journal was founded by the Georgian National Academy of Sciences and A. Razmadze Mathematical Institute, and is jointly produced with De Gruyter. The concern of this international journal is the publication of research articles of best scientific standard in pure and applied mathematics. Special emphasis is put on the presentation of results obtained by Georgian mathematicians.