Journal
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE
Volume 37, Issue 5, Pages 1109-1141Publisher
ELSEVIER
DOI: 10.1016/j.anihpc.2020.03.003
Keywords
Fully nonlinear Dirichlet problems; Radial solutions; Critical exponents; Sign-changing solutions; Asymptotic analysis
Categories
Funding
- INDAM-GNAMPA
- F.R.S.-FNRS
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We study radial sign-changing solutions of a class of fully nonlinear elliptic Dirichlet problems in a ball, driven by the extremal Pucci's operators and with a power nonlinear term. We first determine a new critical exponent related to the existence or nonexistence of such solutions. Then we analyze the asymptotic behavior of the radial nodal solutions as the exponents approach the critical values, showing that new concentration phenomena occur. Finally we define a suitable weighted energy for these solutions and compute its limit value. (C) 2020 Elsevier Masson SAS. All rights reserved.
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