On the regularity and existence of weak solutions for a class of degenerate singular elliptic problem

被引：2

作者：

Garain, Prashanta ^{[1
]}

机构：

[1] Indian Inst Sci Educ & Res Berhampur, Dept Math Sci, Berhampur 760010, Odisha, India

来源：

MANUSCRIPTA MATHEMATICA | 2024年 / 174卷 / 1-2期

关键词：

35J75; 35J92; 35J70; 35D30; WEIGHTED SOBOLEV SPACES; POSITIVE SOLUTIONS; DIRICHLET PROBLEM; EVERYWHERE CONVERGENCE; EQUATIONS; MULTIPLICITY; BOUNDARY; CONTINUITY; MINIMIZERS; GRADIENTS;

D O I：

10.1007/s00229-023-01504-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we consider a class of degenerate singular problems. The degeneracy is captured by the presence of a class of p-admissible weights, which may vanish or blow up near the origin. Further, the singularity is allowed to vary inside the domain. We provide sufficient conditions on the weight function, on the singular exponent and the source function to establish regularity and existence results.

引用

页码：141 / 158

页数：18

共 55 条

[1] Powers of Distances to Lower Dimensional Sets as Muckenhoupt Weights [J].