Article Dans Une Revue Mathematical Research Letters Année : 2018

On a fractional Henon equation and applications

Résumé

We investigate some nonlocal equations in bounded domains for different kinds of operators with power nonlinearities. We prove an existence result in the spirit of an earlier work by W.-M. Ni. As an application, we prove the existence of solutions to nonlocal supercritical equations in the complement of a ball. We prove also some regularity results for higher order nonlocal equations, of independent interest.

Dates et versions

hal-02016032 , version 1 (12-02-2019)

Identifiants

Citer

Yannick Sire, Jun-Cheng Wei. On a fractional Henon equation and applications. Mathematical Research Letters, 2018, 22 (6), pp.1791-1804. ⟨10.4310/MRL.2015.v22.n6.a13⟩. ⟨hal-02016032⟩
162 Consultations
0 Téléchargements

Altmetric

Partager

  • More