G. D'Aguí

Existence of three solutions for parametric $p$-Laplacian equations in $\mathbb{R}^N$

In this paper we deal with a nonlinear elliptic problem in the whole space $\mathbb{R}^N$ involving the $p$-Laplacian operator with $p>N$. Under suitable assumptions on the potential term and on the nonlinearity, we establish the existence of at least three distinct weak solutions. Our approach is variational and relie...