1 citations · 1 across the 10 of their papers we have counts for
10 papers
On higher integrability for -Laplacian equations with drift
Jingya Chen, Bin Guo, Baisheng Yan
In this paper, we study the higher integrability for the gradient of weak solutions of -Laplacians equation with drift terms. We prove a version of generalized Gehring's lemm…
The -configurations and polyconvex gradient flows
Baisheng Yan
We study a generalization of -configurations, called the -configurations, for constructing certain irregular solutions of some nonlinear diffusion systems by the method o…
On a class of special Euler-Lagrange equations
Baisheng Yan
We make some remarks on the Euler-Lagrange equation of energy functional where For certain weak solutions we show that the f…
On nonuniqueness and nonregularity for gradient flows of polyconvex functionals
Baisheng Yan
We provide some counterexamples concerning the uniqueness and regularity of weak solutions to the initial-boundary value problem for gradient flows of certain strongly polyconvex f…
Lipschitz Solutions for the Gradient Flow of Polyconvex Functionals
Baisheng Yan
In this sequel to a previous paper, we construct certain smooth strongly polyconvex functions on such that satisfies the Condition (OC) in that p…
On weak closure of some diffusion equations
Menglan Liao, Lianzhang Bao, Baisheng Yan
We study the closure of approximating sequences of some diffusion equations under certain weak convergence. A specific description of the closure under weak -convergence is gi…
Convex Integration for Diffusion Equations
Baisheng Yan
We study the initial-boundary value problem for a class of diffusion equations with nonmonotone diffusion flux functions, including forward-backward parabolic equations and the gra…
Non-parabolic diffusion problems in one space dimension
Seonghak Kim, Baisheng Yan
We study some non-parabolic diffusion problems in one-space dimension, where the diffusion flux exhibits forward and backward nature of the Perona-Malik, Höllig or non-Fourier type…
A Landau de Gennes theory of liquid crystal elastomers
M. Carme Calderer, Carlos A. Garavito Garzon, Baisheng Yan
In this article, we study minimization of the Landau-de Gennes energy for liquid crystal elastomer.The total energy, is of the sum of the Lagrangian elastic stored energy function…
Radial weak solutions for the Perona-Malik equation as a differential inclusion
Seonghak Kim, Baisheng Yan
The Perona-Malik equation is an ill-posed forward-backward parabolic equation with major application in image processing. In this paper we study the Perona-Malik type equation and…