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math.AP2020★ 4 cited
The Neumann problem for the fractional Laplacian: regularity up to the boundary
Alessandro Audrito, Juan-Carlos Felipe-Navarro, Xavier Ros-Oton
We study the regularity up to the boundary of solutions to the Neumann problem for the fractional Laplacian. We prove that if is a weak solution of in , $\mathc…
math.AP2020
A minimization procedure to the existence of segregated solutions to parabolic reaction-diffusion systems
Alessandro Audrito, Enrico Serra, Paolo Tilli
We study the existence of segregated solutions to a class of reaction-diffusion systems with strong interactions, arising in many physical applications. These special solutions are…