Ground states solutions for a non-linear equation involving a pseudo-relativistic Schrödinger operator

Ground states solutions for a non-linear equation involving a pseudo-relativistic Schrödinger operator

In this paper we prove the existence, regularity, and symmetry of a ground state for a nonlinear equation in the whole space, involving a pseudo-relativistic Schrödinger operator.

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Veröffentlicht in:Journal of mathematical physics 2016-05, Vol.57 (5), p.1
1. Verfasser: Ambrosio, Vincenzo
Format: Artikel
Sprache:eng
Schlagworte:
Conservation laws
Crystallography
Geometry
Ground state
Linear equations
Mathematical analysis
Mathematicians
Nonlinear equations
Operators (mathematics)
Phase transitions
Physics
Quantum physics
Relativism
Relativistic effects
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Zusammenfassung:In this paper we prove the existence, regularity, and symmetry of a ground state for a nonlinear equation in the whole space, involving a pseudo-relativistic Schrödinger operator.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.4949352