Symmetry breaking via Morse index for equations and systems of Hénon–Schrödinger type

New existence and symmetry results for least energy positive solutions of Schrödinger systems with mixed competition and cooperation terms

(2016) Nicola Soave et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Symmetry Results for Cooperative Elliptic Systems via Linearization

(2013) Lucio Damascelli et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

On Phase-Separation Models: Asymptotics and Qualitative Properties

(2012) Henri Berestycki et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Symmetry and symmetry breaking for ground state solutions of some strongly coupled elliptic systems

(2012) Denis Bonheure et al.   JOURNAL OF FUNCTIONAL ANALYSIS

Existence and symmetry results for competing variational systems

(2012) H. Tavares et al.   NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS

Uniform Hölder estimate for singularly perturbed parabolic systems of Bose–Einstein condensates and competing species

(2011) E.N. Dancer et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

The limit equation for the Gross–Pitaevskii equations and S. Terraciniʼs conjecture

(2011) E.N. Dancer et al.   JOURNAL OF FUNCTIONAL ANALYSIS

Dynamics of strongly competing systems with many species

(2011) E. N. Dancer et al.   TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

Ground state and non-ground state solutions of some strongly coupled elliptic systems

(2011) Denis Bonheure et al.   TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

A priori bounds versus multiple existence of positive solutions for a nonlinear Schrödinger system

(2010) E.N. Dancer et al.   ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE

Radial and non radial solutions for Hardy–Hénon type elliptic systems

(2009) Marta Calanchi et al.   CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

Multipulse Phases in k-Mixtures of Bose–Einstein Condensates

(2008) Susanna Terracini et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Asymptotic behaviour of ground state solutions for the Henon equation

(2008) D. Cao et al.   IMA JOURNAL OF APPLIED MATHEMATICS