On the radiality of constrained minimizers to the Schrödinger-Poisson-Slater energy

DOI10.1016/j.anihpc.2011.12.001zbMath1260.35204arXiv1109.3964OpenAlexW2007459766MaRDI QIDQ432264

Francesca Prinari, Nicola Visciglia, Vladimir Georgiev

Publication date: 4 July 2012

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.3964

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Variational methods for second-order elliptic equations (35J20) Symmetries, invariants, etc. in context of PDEs (35B06)

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Cites Work

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• Stable standing waves for a class of nonlinear Schrödinger-Poisson equations
• Scaling properties of functionals and existence of constrained minimizers
• Functional analysis, Sobolev spaces and partial differential equations
• Orbital stability of standing waves for some nonlinear Schrödinger equations
• Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
• Symmetry and related properties via the maximum principle
• The Thomas-Fermi-von Weizsäcker theory of atoms and molecules
• Long-time dynamics of the Schrödinger-Poisson-Slater system
• Symmetry of minimizers for some nonlocal variational problems
• A symmetry problem in potential theory
• Modulational Stability of Ground States of Nonlinear Schrödinger Equations
• Symmetry breaking and multiple solutions for a Neumann problem in an exterior domain
• Nonsymmetric ground states of symmetric variational problems
• A ecessary and Sufficient Condition for The Stability of General molecular Systems
• Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation