Minimax Theory and its Applications 03 (2018), No. 1, 023--034
Copyright Heldermann Verlag 2018
Axially Symmetric Solutions to a Fractional System on Strip-like Domains
Filippo Cammaroto
Department of Mathematical and Computer Sciences, Physical Sciences and Earth Sciences, University of Messina, Viale F. Stagno d'Alcontres 31, 98166 Messina, Italy
fdcammaroto@unime.it
Luca Vilasi
Department of Mathematical and Computer Sciences, Physical Sciences and Earth Sciences, University of Messina, Viale F. Stagno d'Alcontres 31, 98166 Messina, Italy
lvilasi@unime.it
We provide sufficient conditions for the existence of multiple axially symmetric solutions to an elliptic system driven by the fractional p-Laplacian operator on an unbounded cylinder of Rn. Our approach rests upon variational techniques.
Keywords: Fractional p-Laplacian, axial symmetry, strip-like domains, multiplicity.
MSC: 35J60, 35R11
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