A priori estimates for the Fractional p-Laplacian with nonlocal Neumann boundary conditions and applications.

Authors :: Mugnai, Dimitri
Perera, Kanishka
Lippi, Edoardo Proietti
Source :: Communications on Pure & Applied Analysis; Jan2022, Vol. 21 Issue 1, p275-292, 18p
Publication Year :: 2022
Abstract: We first prove that solutions of fractional p -Laplacian problems with nonlocal Neumann boundary conditions are bounded and then we apply such a result to study some resonant problems by means of variational tools and Morse theory. [ABSTRACT FROM AUTHOR]

Subjects :: NEUMANN boundary conditions
NEUMANN problem
MORSE theory
A priori

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