ON A CLASS OF WEIGHTED ANISOTROPIC p-LAPLACE EQUATION WITH SINGULAR NONLINEARITY

被引：1

作者：

Garain, Prashanta ^{[1
]}

机构：

[1] Uppsala Univ, Dept Math, S-75238 Uppsala, Sweden

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2023年 / 61卷 / 02期

关键词：

Key words and phrases. Weighted anisotropic problem; singular nonlinearity; existence; p-admissible weights; variational method; approximation technique; DIRICHLET PROBLEM; ELLIPTIC-EQUATIONS; EIGENVALUE PROBLEM; WULFF SHAPE; MULTIPLICITY; MINIMIZERS; EXISTENCE; SOBOLEV; SETS;

D O I：

10.12775/TMNA.2022.037

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a class of singular weighted anisotropic p-Laplace equations. We provide sufficient condition on the weight function that may vanish or blow up near the origin to ensure the existence of at least one weak solution in the purely singular case and at least two different weak solutions in the purturbed singular case.

引用

页码：775 / 799

页数：25

共 42 条

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