The Brezis-Nirenberg Problem for the Henon Equation: Ground State Solutions

被引：0
|
作者：
Secchi, Simone [1 ]
机构：
[1] Univ Milano Bicocca, Dipartimento Matemat & Applicaz, I-20125 Milan, Italy
来源：
ADVANCED NONLINEAR STUDIES | 2012年 / 12卷 / 02期
关键词：
Ground states; critical exponent; Henon equation; Nehari manifold; ASYMPTOTIC-BEHAVIOR; POSITIVE SOLUTIONS; PARTIAL SYMMETRY;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This work is devoted to the Dirichlet problem for the equation -Delta u = lambda u + vertical bar x vertical bar(a)vertical bar u vertical bar(2 center dot-2) in the unit ball of R-N. We assume that lambda is bigger than the first eigenvalues of the laplacian, and we prove that there exists a solution provided alpha is small enough. This solution has a variational characterization as a ground state.
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页码：383 / 394
页数：12
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