SYMMETRY BREAKING FOR GROUND-STATE SOLUTIONS OF HÉNON SYSTEMS IN A BALL

DOI10.1017/S0017089510000662zbMath1215.35063OpenAlexW2111753504MaRDI QIDQ3000402

Haiyang He

Publication date: 18 May 2011

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089510000662

zbMATH Keywords

symmetryDirichlet boundary conditionsasymptotic estimatesground-state solutionsHénon-type system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Variational methods for elliptic systems (35J50) Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47) Symmetries, invariants, etc. in context of PDEs (35B06) Boundary value problems for second-order elliptic systems (35J57)

Related Items (1)

Partial symmetry of normalized solutions for a doubly coupled Schrödinger system

Cites Work

• Unnamed Item
• On the Hénon equation: asymptotic profile of ground states. I.
• Biharmonic equations with asymptotically linear nonlinearities
• The critical hyperbola for a Hamiltonian elliptic system with weights
• Asymptotic behavior of solutions for Hénon systems with nearly critical exponent
• Partial symmetry and asymptotic behavior for some elliptic variational problems
• The asymptotic behaviour of the ground state solutions for Hénon equation.
• Differential systems with strongly indefinite variational structure
• Solutions of an elliptic system with a nearly critical exponent
• On the Hénon equation: asymptotic profile of ground states. II
• NON-RADIAL GROUND STATES FOR THE HÉNON EQUATION
• On Superquadratic Elliptic Systems
• Classification of Solutions for a System of Integral Equations
• Asymptotic behaviour of ground states

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