NEW CONCENTRATION PHENOMENA FOR RADIAL SIGN-CHANGING SOLUTIONS OF FULLY NONLINEAR ELLIPTIC EQUATIONS

被引：0
|
作者：
Leoni, Fabiana [1 ]
机构：
[1] Sapienza Univ Roma, Dipartimento Matemat, Ple Aldo Moro 2, I-00185 Rome, Italy
来源：
BRUNO PINI MATHEMATICAL ANALYSIS SEMINAR | 2022年 / 13卷 / 01期
关键词：
Pucci's extremal operators; sign-changing radial solutions; new critical exponents; VISCOSITY SOLUTIONS; CRITICAL EXPONENTS; EXISTENCE;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present recent results about radial sign-changing solutions of a class of fully nonlinear elliptic Dirichlet problems posed in a ball, driven by the extremal Pucci's operators and provided with power zero order terms. We show that new critical exponents appear, related to the existence or nonexistence of sign-changing solutions and due to the fully nonlinear character of the considered problem. Furthermore, we analyze the new concentration phenomena occurring as the exponents approach the critical values.
引用
收藏
页码：9 / 25
页数：17
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