On the radiality of constrained minimizers to the Schrödinger–Poisson–Slater energy
Vladimir Georgiev
Università di Pisa, Dipartimento di Matematica, Largo B. Pontecorvo 5, 56124, Pisa, ItalyFrancesca Prinari
Università di Ferrara, Dipartimento di Matematica, via Machiavelli 35, 44100, Ferrara, ItalyNicola Visciglia
Università di Pisa, Dipartimento di Matematica, Largo B. Pontecorvo 5, 56124, Pisa, Italy
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Abstract
We study the radial symmetry of minimizers to the Schrödinger–Poisson–Slater (S–P–S) energy:
provided that and is small. The main result shows that minimizers are radially symmetric modulo suitable translation.
Résumé
On montre la radialité des minimiseurs de lʼénergie de Schrödinger–Poisson–Slater
pourvu que et est petit.
Cite this article
Vladimir Georgiev, Francesca Prinari, Nicola Visciglia, On the radiality of constrained minimizers to the Schrödinger–Poisson–Slater energy. Ann. Inst. H. Poincaré Anal. Non Linéaire 29 (2012), no. 3, pp. 369–376
DOI 10.1016/J.ANIHPC.2011.12.001