Three nontrivial solutions for nonlinear fractional Laplacian equations
IANNIZZOTTO, ANTONIO
2018-01-01
Abstract
We study a Dirichlet-type boundary value problem for a pseudodifferential equation driven by the fractional Laplacian, proving the existence of three nonzero solutions. When the reaction term is sublinear at infinity, we apply the second deformation theorem and spectral theory. When the reaction term is superlinear at infinity, we apply the mountain pass theorem and Morse theory.File | Size | Format | |
---|---|---|---|
Duzgun-Iannizzotto ANA.pdf open access
Type: versione post-print
Size 706.06 kB
Format Adobe PDF
|
706.06 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.