Jianyun Zhang

Ocean University of China | OUC · Laboratory of Mathematics

In this paper, we investigate global existence and blow-up properties of nonnegative solutions to a nonlocal p-Laplacian evolution equation with weighted nonlinear nonlocal boundary condition. By using the method of upper and lower solutions, we consider some effects of weight function and nonlinear exponent on the global and blow-up solutions. In...

In this paper, we investigate an initial boundary value problem for a nonlocal p-Laplacian evolution equation with an inner absorption and weighted linear nonlocal boundary and initial conditions. By using the modified comparison principle and the method of upper-lower solution, we find the influence of weighted function on determining blow-up or n...

In this paper, we investigate a initial boundary value problem of porous medium equation with nonlocal boundary condition. We find the effects of weight function in the boundary condition and competitive relationship between nonlinear memory term and inner absorption term on whether determining blow-up of solutions or not, and give the blow-up rate...

This work is concerned with an initial boundary value problem for a nonlocal porous medium equation with inner absorption and weighted nonlocal boundary condition. We obtain the roles of weight function on whether determining the blowup of nonnegative solutions or not and establish the precise blow-up rate estimates under some suitable condition.