Local versus nonlocal elliptic equations: short-long range field interactions

In this paper we study a class of one-parameter family of elliptic equations which combines local and nonlocal operators, namely the Laplacian and the fractional Laplacian. We analyze spectral properties, establish the validity of the maximum principle, prove existence, nonexistence, symmetry and re...

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Bibliographic Details
Main Authors: Cassani Daniele, Vilasi Luca, Wang Youjun
Format: Article
Language:English
Published: De Gruyter 2020-12-01
Series:Advances in Nonlinear Analysis
Subjects:
Online Access:https://doi.org/10.1515/anona-2020-0166