Three nontrivial solutions for nonlinear fractional Laplacian equations
Thu
25
May
Thursday 25 May, 2023at 15:30 - 16:15
MIT.A.346, MIT building
Three nontrivial solutions for nonlinear fractional Laplacian equations
Speaker: Fatma Gamze Duzgun, Hacettepe University, Türkiye
Abstract: We study a Dirichlet-type boundary value problem for a pseudodifferential equation driven by the fractional Laplacian, proving the existence of three non-zero solutions. When the reaction term is sublinear at infinity, we apply spectral theory. When the reaction term is superlinear at infinity, we apply the Mountain Pass Theorem and Morse theory.