Lions-type theorem of the p-Laplacian and applications

Abstract

In this article, our aim is to establish a generalized version of Lions-type theorem for the p-Laplacian. As an application of this theorem, we consider the existence of ground state solution for the quasilinear elliptic equation with the critical growth.

Keywords

• lions theorem
• quasilinear elliptic equation
• singular potential
• critical exponent
• ground state solution
• 35a15
• 35r11
• 35j92