HENON ELLIPTIC EQUATIONS IN R2 WITH SUBCRITICAL AND CRITICAL EXPONENTIAL GROWTH

被引：0
|
作者：
Do O, Joao Marcos [1 ]
Barboza, Eudes Mendes [2 ]
机构：
[1] Univ Fed Paraiba, Dept Math, BR-58051900 Joao Pessoa, Paraiba, Brazil
[2] Univ Fed Rural Pernambuco, Dept Math, BR-50740560 Nazare Da Mata, PE, Brazil
来源：
DIFFERENTIAL AND INTEGRAL EQUATIONS | 2020年 / 33卷 / 1-2期
关键词：
POSITIVE SOLUTIONS; EXISTENCE; FUNCTIONALS; MAXIMIZERS; INEQUALITY; SYMMETRY;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the Dirichlet problem in the unit ball B-1 of R-2 for the Henon-type equation of the form {-Delta u = lambda u + vertical bar x vertical bar(alpha) f(u) in B-1, u = 0 on partial derivative B-1, where f(t) is a C-1-function in the critical growth range motivated by the celebrated Trudinger-Moser inequality. Under suitable hypotheses on constant lambda and f(t), by variational methods, we study the solvability of this problem in appropriate Sobolev s paces.
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页码：1 / 42
页数：42
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