TY  - JOUR
A1  - Djitte, Sidy Moctar
A1  - Jarohs, Sven
T1  - Symmetry of odd solutions to equations with fractional Laplacian
T2  - Journal of elliptic and parabolic equations
N2  - We present a symmetry result to solutions of equations involving the fractional Laplacian in a domain with at least two perpendicular symmetries. We show that if the solution is continuous, bounded, and odd in one direction such that it has a fixed sign on one side, then it will be symmetric in the perpendicular direction. Moreover, the solution will be monotonic in the part where it is of fixed sign. In addition, we present also a class of examples in which our result can be applied.
KW  - Symmetries
KW  - Nonlocal operators
KW  - Sign-changing solutions
Y1  - 2022
UR  - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/69600
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-696007
SN  - 2296-9039
N1  - This work is supported by DAAD and BMBF (Germany) within the project 57385104.
N1  - Open Access funding enabled and organized by Projekt DEAL.
N1  - Djitte, Sidy Moctar: sidy.m.djitte@aims-senegal.org
VL  - 8
IS  - 1
SP  - 209
EP  - 230
PB  - Springer International Publishing AG , Orthogonal Editions [2015-[?]]
CY  - Cham , Zürich
ER  -