Differential and Integral Equations

Multiple $\mathbb{S}^{1}$-orbits for the Schrödinger-Newton system

Silvia Cingolani and Simone Secchi

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We prove existence and multiplicity of symmetric solutions for the Schrödinger--Newton system in three-dimensional space using equivariant Morse theory.

Article information

Differential Integral Equations, Volume 26, Number 9/10 (2013), 867-884.

First available in Project Euclid: 3 July 2013

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35Q55: NLS-like equations (nonlinear Schrödinger) [See also 37K10] 35Q40: PDEs in connection with quantum mechanics 35J20: Variational methods for second-order elliptic equations 35B06: Symmetries, invariants, etc.


Cingolani, Silvia; Secchi, Simone. Multiple $\mathbb{S}^{1}$-orbits for the Schrödinger-Newton system. Differential Integral Equations 26 (2013), no. 9/10, 867--884. https://projecteuclid.org/euclid.die/1372858554

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