Journal
JOURNAL OF DIFFERENTIAL EQUATIONS
Volume 264, Issue 2, Pages 1231-1262Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2017.09.034
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Funding
- FEDER-MINECO Grant [MTM2015-68210-P]
- J. Andalucia [FQM-116]
- Projet de Recherche (Fonds De La Recherche Scientifique - FNRS) [T.1110.14]
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We consider the Choquard equation (also known as the stationary Hartree equation or Schrodinger Newton equation) -Delta u+u = (I-alpha*|u|(p))|u|(p-2)u. Here I-alpha stands for the Riesz potential of order alpha is an element of (0, N), and N-2/N+alpha < 1/p <= 1/2. We prove that least energy nodal solutions have an odd symmetry with respect to a hyperplane when alpha is either close to 0 or close to N. (C) 2017 Elsevier Inc. All rights reserved.
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