Odd symmetry of least energy nodal solutions for the Choquard equation |
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Authors: | David Ruiz Jean Van Schaftingen |
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Institution: | 1. Universidad de Granada, Departamento de Análisis Matemático, Campus Fuentenueva, 18071 Granada, Spain;2. Université Catholique de Louvain, Institut de Recherche en Mathématique et Physique, Chemin du Cyclotron 2 bte L7.01.01, 1348 Louvain-la-Neuve, Belgium |
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Abstract: | We consider the Choquard equation (also known as the stationary Hartree equation or Schrödinger–Newton equation) Here stands for the Riesz potential of order , and . We prove that least energy nodal solutions have an odd symmetry with respect to a hyperplane when α is either close to 0 or close to N. |
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Keywords: | Corresponding author |
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