1 citations · 1 across the 4 of their papers we have counts for
6 papers
Density-constrained Chemotaxis and Hele-Shaw flow
Inwon Kim, Antoine Mellet, Yijing Wu
We consider a model of congestion dynamics with chemotaxis, where the density of cells follows the chemical signal it generates, while observing an incompressibility constraint. We…
-convergence of some nonlocal perimeters in bounded subsets of with general boundary conditions
Antoine Mellet, Yijing Wu
We establish the -convergence of some energy functionals describing nonlocal attractive interactions in bounded domains. The interaction potential solves an elliptic equation (l…
An isoperimetric problem with a competing nonlocal singular term
Antoine Mellet, Yijing Wu
In this paper, we investigate the minimization of a functional in which the usual perimeter is competing with a nonlocal singular term comparable (but not necessarily equal to) a f…
On the fully nonlinear Alt-Phillips equation
Yijing Wu, Hui Yu
For a parameter , we study the fully nonlinear version of the Alt-Phillips equation, , for We establish the optimal regularity of the solution…
A non-local one-phase free boundary problem from obstacle to cavitation
Yijing Wu
We consider a one-phase free boundary problem of the minimizer of the energy \[ J_γ(u)=\frac{1}{2}\int_{(B_1^{n+1})^+}{y^{1-2s}|\nabla u(x,y)|^2dxdy}+\int_{B_1^{n}\times \{y=0\}}{u…
Fractional analogue of k-Hessian operators
Yijing Wu
Applying ideas of fractional analogue of Monge-Ampére operator by L. Caffarelli and F. Charro, we consider an analogue of fractional k-Hessian operators expressed as concave envelo…