Abstract
In this paper, we consider the existence and uniqueness of solutions for the nonlocal elliptic problem
with homogeneous Dirichlet boundary conditions, where ,
. It will be shown that: (i) when
, there exists a unique solution to the nonlocal elliptic problem for any
; (ii) when
, there also exists a unique solution of the nonlocal elliptic problem for
and no solution for
.
Keywords:
Disclosure statement
No potential conflict of interest was reported by the authors.