Artículo de revista
Regular solutions to a super critical elliptic problem in exterior domains
Fecha
2013Registro en:
J. Differential Equations 255 (2013) 701–727
doi 10.1016/j.jde.2013.04.024
Autor
Dávila, Juan
López, Luis F.
Institución
Resumen
We consider the supercritical elliptic problem −Δu=λeu, λ>0, in an exterior domain Ω=RN∖D under zero Dirichlet condition, where D is smooth and bounded in RN, N⩾3. We prove that, for λ small, this problem admits infinitely many regular solutions.zero Dirichlet condition,
where D is smoot hand bounded in RN, N 3. We prove that,for
λ small, this problem admits infinitely many regular solutions.