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.

引用

页码：389 / 422

页数：34

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