scholarly journals The existence of ground state solution to elliptic equation with exponential growth on complete noncompact Riemannian manifold

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Chungen Liu ◽  
Yanjun Liu
Author(s):  
Shengbing Deng ◽  
Tingting Huang

The aim of this paper is to study the ground state solution for a Kirchhoff type elliptic systems without the Ambrosetti-Rabinowitz condition.


2021 ◽  
Vol 10 (1) ◽  
pp. 1178-1200
Author(s):  
Yu Su ◽  
Zhaosheng Feng

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.


1992 ◽  
Vol 17 (1) ◽  
pp. 107-110
Author(s):  
Shun-Qing Shen ◽  
J. Cai ◽  
Rui-Bao Tao

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