Liang-cai Zhao

activity

20192025

collaborators

3 papers

math.AP2025

Blow-up solutions of parabolic $p$ -Laplacian inequalities on locally finite graphs

Wenyuan Ma, Liang Zhao

In this paper, we study blow up behavior of the semilinear parabolic inequality with $p$ -Laplacian operator and nonlinear source $u_{t} - Δ_{p} u \geq σ (x, t) Φ (u)$ on a locally finite…

math.DG2020

Gradient estimates for weighted $p$ -Laplacian equations on Riemannian manifolds with a Sobolev inequality and integral Ricci bounds

Le Van Dai, Nguyen Thac Dung, Nguyen Dang Tuyen +1

In this paper, we consider the non-linear general $p$ -Laplacian equation $Δ_{p, f} u + F (u) = 0$ for a smooth function $F$ on smooth metric measure spaces. Assume that a Sobolev inequali…

math.AP2019

Existence and convergence of solutions for nonlinear biharmonic equations on graphs

Xiaoli Han, Mengqiu Shao, Liang Zhao

In this paper, we first prove some propositions of Sobolev spaces defined on a locally finite graph $G = (V, E)$ , which are fundamental when dealing with equations on graphs under the…

Blow-up solutions of parabolic p-Laplacian inequalities on locally finite graphs

Gradient estimates for weighted p-Laplacian equations on Riemannian manifolds with a Sobolev inequality and integral Ricci bounds

Existence and convergence of solutions for nonlinear biharmonic equations on graphs

Blow-up solutions of parabolic $p$ -Laplacian inequalities on locally finite graphs

Gradient estimates for weighted $p$ -Laplacian equations on Riemannian manifolds with a Sobolev inequality and integral Ricci bounds