scholarly journals Ground state solution for a class of indefinite variational problems with critical growth

2018 ◽  
Vol 265 (1) ◽  
pp. 444-477 ◽  
Author(s):  
Claudianor O. Alves ◽  
Geilson F. Germano
Keyword(s):  
Ground State ◽  
Variational Problems ◽  
Ground State Solution ◽  
Critical Growth ◽  
State Solution

scholarly journals Lions-type theorem of the p-Laplacian and applications

2021 ◽  
Vol 10 (1) ◽  
pp. 1178-1200
Author(s):  
Yu Su ◽  
Zhaosheng Feng
Keyword(s):  
Elliptic Equation ◽  
Ground State ◽  
Quasilinear Elliptic Equation ◽  
Type Theorem ◽  
Ground State Solution ◽  
Critical Growth ◽  
State Solution ◽  
Quasilinear Elliptic

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.

Sign in / Sign up

Export Citation Format

Share Document