Reproducing kernel method for singular fourth order four-point boundary value problems.
Asymptotic behavior of solutions of a periodic diffusion equation.
A two-species cooperative Lotka-Volterra system of degenerate parabolic equations.
A new variational model for segmenting objects of interest from color images.
Periodic solutions of a three-species periodic reaction-diffusion system
We study a periodic reaction-diffusion system of a competitive model with Dirichlet boundary conditions. By the method of upper and lower solutions and an argument similar to that of Ahmad and Lazer, we establish the existence of periodic solutions and also investigate the stability and global attractivity of positive periodic solutions under certain conditions.
On existence of a unique generalized solution to systems of elliptic PDEs at resonance
The Dirichlet boundary value problem for systems of elliptic partial differential equations at resonance is studied. The existence of a unique generalized solution is proved using a new min-max principle and a global inversion theorem.
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