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

Authors

  • Fabiana Leoni Sapienza Università di Roma

DOI:

https://doi.org/10.6092/issn.2240-2829/16155

Keywords:

Pucci's extremal operators, sign-changing radial solutions, new critical exponents

Abstract

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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Published

2023-01-09

How to Cite

Leoni, F. (2022). New concentration phenomena for radial sign-changing solutions of fully nonlinear elliptic equations. Bruno Pini Mathematical Analysis Seminar, 13(1), 9–25. https://doi.org/10.6092/issn.2240-2829/16155