We give general existence results of solutions (u, v) to the Dirichlet problem

In this paper, we consider the existence (and nonexistence) of solutions to −Mλ,Λ ±(u″)+V(x)u=f(u)inR where Mλ,Λ + and Mλ,Λ − denote the Pucci operators with 0<λ≤Λ<∞ V(x) is a bounded function, f(s) is a continuous ...

The purpose of this paper is to study boundary blow up solutions for semi-linear fractional elliptic equations of the form {(-Delta)(alpha)u(x) + vertical bar u vertical bar(p-1)u(x) = f(x), x is an element of Omega, ...