Quasilinear problems with two parameters including superlinear and gradient terms

Abstract

In this article, we establish conditions for the existence of solutions for a quasilinear elliptic two-parameter problem with dependence on the gradient term in smooth bounded domains or in the whole space R^N. We consider superlinear and asymptotically linear terms. Estimates on the values of two parameters for which the problem have solutions are provided.

Keywords

• p-Laplacian
• entire solutions
• superlinear
• sublinear
• gradient term