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.
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页码：9 / 25
页数：17
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