2 papers
math.AP2026
Pointwise arbitrarily high-order interior estimates for mixed local and nonlocal elliptic equations
Pengyan Wang, Leyun Wu, Chilin Zhang
In this paper, we mainly focus on pointwise, arbitrarily high-order interior estimates for the mixed local-nonlocal elliptic equation \begin{equation*} (-Î)^{s}u(x)-Îu(x)=f(x),\q…
math.AP2026
Liouville theorems for mixed local and nonlocal indefinite equations
Pengyan Wang, Leyun Wu
We investigate the qualitative properties of positive solutions to mixed local-nonlocal equations with indefinite nonlinearities, emphasizing the interaction between classical and…