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
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页数：9
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