Multiplicity results for elliptic problems with critical exponential growth

被引：0

作者：

Perera, Kanishka ^{[1
]}

机构：

[1] Florida Inst Technol, Dept Math, 150 W Univ Blvd, Melbourne, FL 32901 USA

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2024年 / 31卷 / 05期

关键词：

Elliptic problems; Critical exponential growth; Arbitrarily many solutions; Abstract critical point theory; EQUATIONS;

D O I：

10.1007/s00030-024-00973-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove new multiplicity results for some elliptic problemswith critical exponential growth. More specifically, we show that the prob-lems considered here have arbitrarily many solutions for all sufficientlylarge values of a certain parameter mu>0. In particular, the number ofsolutions goes to infinity as mu ->infinity. The proof is based on an abstractcritical point theorem

引用

页数：9

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