New concentration phenomena for radial sign-changing solutions of fully nonlinear elliptic equations

Autor: Fabiana Leoni
Jazyk: English<br />Italian
Rok vydání: 2023
Předmět:
Zdroj: Bruno Pini Mathematical Analysis Seminar, Vol 13, Iss 1, Pp 9-25 (2023)
Druh dokumentu: article
ISSN: 2240-2829
DOI: 10.6092/issn.2240-2829/16155
Popis: 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.
Databáze: Directory of Open Access Journals