On multiplicity of solutions of Dirichlet problem for uniformly elliptic operator equations

Abstract

In the present paper, the following Dirichlet problemis studied and four new multiplicity results of solutions are obtained, where Ω ⊂ R N is a bounded domain, N 1 and

A Brezis–Nirenberg splitting approach for nonlocal fractional equations

“…In the literature different types of resonance assumptions have been considered: see, e.g., [4,7,9,12,13,17,16,18,[29][30][31] and references therein, when dealing with elliptic problems.…”