We prove the existence of a nontrivial groundstate solution for the class of nonlinear Choquard - Î u + u = (Iαâ F(u) Fâ ²(u) in R2where Iαis the Riesz potential of order α on the plane R2under general nontriviality, growth and subcriticality on the nonlinearity F â C1(R,R)
Battaglia, L., Van Schaftingen, J. (2017). Existence of Groundstates for a Class of Nonlinear Choquard Equations in the Plane. ADVANCED NONLINEAR STUDIES, 17(3), 581-594 [10.1515/ans-2016-0038].
Existence of Groundstates for a Class of Nonlinear Choquard Equations in the Plane
Battaglia, Luca;
2017-01-01
Abstract
We prove the existence of a nontrivial groundstate solution for the class of nonlinear Choquard - Î u + u = (Iαâ F(u) Fâ ²(u) in R2where Iαis the Riesz potential of order α on the plane R2under general nontriviality, growth and subcriticality on the nonlinearity F â C1(R,R)File in questo prodotto:
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