On mixed local-nonlocal operators with (α, β)-Neumann conditions
Author(s)
Proietti Lippi, Edoardo
Date Issued
2022
Type
article
Volume
71
Start Page
1035
End Page
1048
Abstract
We consider some problems governed by the sum of a Laplacian and of a fractional Laplacian in presence of so–called (훼, 훽)-Neumann conditions in an essentially linear context.
Indeed, frst we show an existence result for asymptotically linear elliptic problems, and
then we establish some qualitative properties for solutions of the associated homogeneous
parabolic problem, extending to this setting related results in the local case.