$p$-Laplacian operator with potential in generalized Morrey Spaces

René Erlin Castillo, Héctor Camilo Chaparro

We study some basic properties of generalized Morrey spaces ${\mathcal{M}}^{p,\varphi }({\mathbb{R}}^d)$. Also, the problem $-\mbox{div}(|\nabla u|^{p-2}\nabla u)+V|u|^{p-2}u=0$ in $\Omega$, where $\Omega$ i…