Open AccessA priori estimates for the Fractional <i>p</i>-Laplacian with nonlocal Neumann boundary conditions and applications
Author(s) -
Dimitri Mugnai,
Kanishka Perera,
Edoardo Proietti Lippi
Publication year - 2021
Publication title -
communications on pure and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.077
H-Index - 42
eISSN - 1553-5258
pISSN - 1534-0392
DOI - 10.3934/cpaa.2021177
Subject(s) - neumann boundary condition , bounded function , fractional laplacian , a priori and a posteriori , boundary (topology) , mathematics , laplace operator , boundary value problem , von neumann architecture , morse theory , mathematical analysis , pure mathematics , philosophy , epistemology
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.