Journal
ADVANCED NONLINEAR STUDIES
Volume 17, Issue 3, Pages 581-594Publisher
WALTER DE GRUYTER GMBH
DOI: 10.1515/ans-2016-0038
Keywords
Choquard Equation; Semilinear Elliptic Problem; Variational Method
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Funding
- Projet de Recherche (Fonds de la Recherche Scientifique-FNRS) [T.1110.14]
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We prove the existence of a nontrivial groundstate solution for the class of nonlinear Choquard equations -Delta u + u=(I-alpha* F(u))F'(u) in R-2, where I-alpha is the Riesz potential of order alpha on the plane R-2 under general nontriviality, growth and subcriticality on the nonlinearity F is an element of C-1 (R, R).
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