E-viri
PDF
Recenzirano
Odprti dostop
-
Autuori, Giuseppina; Pucci, Patrizia
Journal of Differential Equations, 10/2013, Letnik: 255, Številka: 8Journal Article
We study the existence and multiplicity of solutions for elliptic equations in RN, driven by a non-local integro-differential operator, which main prototype is the fractional Laplacian. The model under consideration, denoted by (Pλ), depends on a real parameter λ and involves two superlinear nonlinearities, one of which could be critical or even supercritical. The main theorem of the paper establishes the existence of three critical values of λ which divide the real line in different intervals, where (Pλ) admits no solutions, at least one nontrivial non-negative entire solution and two nontrivial non-negative entire solutions.
