3 papers
math.AP2025
Optimal Liouville theorems for the Lane-Emden equation on Riemannian manifolds
Jie He, Linlin Sun, Youde Wang
We study degenerate quasilinear elliptic equations on Riemannian manifolds and obtain several Liouville theorems. Notably, we provide rigorous proof asserting the nonexistence of p…
math.AP2025
Existence theory for elliptic equations of general exponential nonlinearity on finite graphs
Bobo Hua, Linlin Sun, Jiaxuan Wang
We study semilinear elliptic equations on finite graphs with fully general exponential nonlinearities, thereby extending classical equations such as the Kazdan-Warner and Chern-Sim…
math.DG2025
Critical quasilinear equations on Riemannian manifolds
Linlin Sun, Youde Wang
In this paper, we investigate critical quasilinear elliptic partial differential equations on a complete Riemannian manifold with nonnegative Ricci curvature. By exploiting a new a…