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 ...

We study an elliptic system of the form Lu = vertical bar v vertical bar(p-1) v and Lv = vertical bar u vertical bar(q-1) u in Omega with homogeneous Dirichlet boundary condition, where Lu := -Delta u in the case of a ...

Using a combination of several methods, such as variational methods. the sub and supersolutions method, comparison principles and a priori estimates. we study existence, multiplicity, and the behavior with respect to lambda ...

Let Ω be a bounded open interval, and let p>1 and q∈(0,p−1). Let m∈Lp′(Ω) and 0≤c∈L∞(Ω). We study the existence of strictly positive solutions for elliptic problems of the form −(|u′|^p − 2u′)′+c(x)u^(p−1)=m(x)u^q in Ω, ...