Nonlocal Mean Curvature with Integrable Kernel

Animesh Biswas, Mikil Foss, Petronela Radu

We study the prescribed constant mean curvature problem in the nonlocal setting where the nonlocal curvature has been defined as $$ H^J_Ω(x):=\int_{\mathbb{R} ^n} J(x-y)(χ_{Ω^c}(y)…