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Three nontrivial solutions for nonlinear fractional Laplacian equations
2018
Advances in Nonlinear Analysis
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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 the second deformation theorem and spectral theory. When the reaction term is superlinear at infinity, we apply the mountain pass theorem and Morse theory.
doi:10.1515/anona-2016-0090
fatcat:d5irfjrmjfelfpnjuuntsjzssi