Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8899547 | Journal of Mathematical Analysis and Applications | 2018 | 19 Pages |
Abstract
We prove the existence of ground state solutions by variational methods to the nonlinear Choquard equations with a nonlinear perturbationâÎu+u=(Iαâ|u|αN+1)|u|αNâ1u+f(x,u) in RN where Nâ¥1, Iα is the Riesz potential of order αâ(0,N), the exponent αN+1 is critical with respect to the Hardy-Littlewood-Sobolev inequality and the nonlinear perturbation f satisfies suitable growth and structural assumptions.
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Physical Sciences and Engineering
Mathematics
Analysis
Authors
Jean Van Schaftingen, Jiankang Xia,