On a Liouville-type equation with sign-changing weight

被引：1
|
作者：
Ruf, Bernhard [1 ]
Ubilla, Pedro [2 ]
机构：
[1] Univ Milan, Dipartimento Matemat, I-20133 Milan, Italy
[2] Univ Santiago Chile, Dept Matemat & CC, Santiago, Chile
来源：
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2009年 / 139卷
关键词：
2-DIMENSIONAL EULER EQUATIONS; STATISTICAL-MECHANICS; LOCAL SUPERLINEARITY; STATIONARY FLOWS; EXISTENCE; BLOW;
D O I：
10.1017/S0308210507000583
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the existence, nonexistence and multiplicity of non-negative solutions for the family of problems -Delta u = lambda(a(x)eu + f(x, u)), u is an element of H-0(1) (Omega), where Omega is a bounded domain in R-2 and lambda > 0 is a parameter. The coefficient a(x) is permitted to change sign. The techniques used in the proofs are a combination of upper and lower solutions, the Trudinger-Moser inequality and variational methods. Note that when f(x, u) = 0 the equation is of Liouville type.
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页码：183 / 192
页数：10
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