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Seminario del 2022
Febbraio
17
2022
pagina stampabile
Fabiana Leoni (Sapienza Università di Roma)
New concentration phenomena for radial solutions of fully nonlinear elliptic equations
nell'ambito della serie:
SEMINARI DI ANALISI MATEMATICA BRUNO PINI
analisi matematica
We present recent results about radial 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 a new critical exponent appears, related to the existence or nonexistence of sign-changing solutions. Furthermore we analyze the new concentration phenomena occurring as the exponents approach the critical values. Based on joint works with A. Iacopetti, G. Galise and F. Pacella.
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