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.
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Copyright (c) 2022 Fabiana Leoni
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