New concentration phenomena for radial sign-changing solutions of fully nonlinear elliptic equations
Keywords:Pucci's extremal operators, sign-changing radial solutions, new critical exponents
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.
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
Copyright (c) 2022 Fabiana Leoni
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