A new kind of blowing-up solutions for the Brezis-Nirenberg problem

被引：7
|
作者：
Vaira, Giusi [1 ]
机构：
[1] Dipartimento Sci Base & Applicate Ingn, Sez Matemat, I-00185 Rome, Italy
来源：
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2015年 / 52卷 / 1-2期
关键词：
CRITICAL SOBOLEV EXPONENT; SIGN-CHANGING SOLUTIONS; SUPERCRITICAL NONLINEAR PROBLEM; ELLIPTIC-EQUATIONS; CRITICAL GROWTH; NODAL SOLUTIONS; DIMENSION; NONEXISTENCE; EXISTENCE; DOMAIN;
D O I：
10.1007/s00526-014-0716-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the Brezis-Nirenberg problem in a bounded domain with nontrivial topology and smooth boundary and we prove the existence of a new type of positive and sign-changing solution in a "subcritical" and in a "supercritical" setting. We remark that this is the first result of existence of a sign-changing solution in "the supercritical" case.
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页码：389 / 422
页数：34
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