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Three nontrivial solutions for nonlinear fractional Laplacian equations

Thu
25
May
Time Thursday 25 May, 2023 at 15:30 - 16:15
Place 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.

Event type: Seminar

Speaker: Fatma Gamze Duzgun, Hacettepe University, Türkiye

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Niklas Lundström
Read about Niklas Lundström