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math.AP2022★ 1 cited
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)…
math.AP2022
-caloric approximation and partial regularity for parabolic systems with Orlicz growth
Mikil Foss, Teresa Isernia, Chiara Leone +1
We prove a new -caloric approximation lemma compatible with an Orlicz setting. With this result, we establish a partial regularity result for parabolic systems of the…