3 papers
math.AP2026
Geometric structure of singular free boundary points for the logarithmic obstacle problem
Lili Du, Xu Tang, Yi Zhou
In the previous work [Interfaces Free Bound., 19, 351--369, 2017], de Queiroz and Shahgholian established the optimal regularity of solutions for the ob…
math.AP2024
The free boundary for the singular obstacle problem with logarithmic forcing term
Lili Du, Yi Zhou
In the previous work [Interfaces Free Bound., 19, 351-369, 2017], de Queiroz and Shahgholian investigated the regularity of the solution to the obstacle problem with singular logar…
math.AP2024
Regularity of the free boundary for a semilinear vector-valued minimization problem
L. L. Du, Y. Zhou
In this paper, we consider the following semilinear vector-valued minimization problem $$\min\left\{\int_{D}({|\nabla\mathbf{u}|}^2 + F(|\mathbf{u}|))dx: \ \ \mathbf{u}\in W^{1,2}(…