Special Session 141: New trends and methods for differential problems

Uniqueness results for fractional Dirichlet problems in symmetruc domains
Isabella Ianni
Sapienza University
Italy
Co-Author(s):    De Marchis, Dieb, Saldana
Abstract:
We discuss recent uniqueness and nondegeneracy results obtained for non-negative solutions of some fractional semilinear problems in bounded domains with Dirichlet exterior condition. In particular we can consider least energy solutions in balls or in more general symmetric domains, for problems with power nonlinearities. The symmetry properties of the solutions of the associated linearized equation are also investigated.