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

页码：9 / 25

页数：17

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