Hamiltonian elliptic systems involving nonlinear Schrödinger equations with critical growth

DOI10.1007/S00033-015-0550-XzbMath1329.35143OpenAlexW899934076MaRDI QIDQ894888

J. Anderson Cardoso, Everaldo S. de Medeiros, João Marcos Bezerra do Ó

Publication date: 24 November 2015

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-015-0550-x

zbMATH Keywords

Schrödinger equationcritical growthHamiltonian elliptic systemdual variational methodsground sate solution

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear elliptic equations (35J60) Variational methods for elliptic systems (35J50) Boundary value problems for second-order elliptic systems (35J57)

Related Items (2)

Hamiltonian systems of Schrödinger equations with vanishing potentials ⋮ Critical and subcritical fractional Hamiltonian systems of Schrödinger equations with vanishing potentials

Cites Work

• Infinitely many solutions for the Schrödinger equations in \(\mathbb R^N\) with critical growth
• Nonlinear scalar field equations. I: Existence of a ground state
• The concentration-compactness principle in the calculus of variations. The limit case. I
• Existence of positive solutions of the equation \(-\Delta u+a(x)u=u^{(N+2)/(N-2)}\) in \({\mathbb{R}}^ N\)
• Multiple solutions of a coupled nonlinear Schrödinger system
• Multiple critical points of perturbed symmetric strongly indefinite functionals
• On a class of nonlinear Schrödinger equations
• Existence of solitary waves in higher dimensions
• Standing waves with a critical frequency for nonlinear Schrödinger equations
• Concentration-compactness principle at infinity and semilinear elliptic equations involving critical and subcritical Sobolev exponents
• Local mountain passes for semilinear elliptic problems in unbounded domains
• Minimax theorems
• Dual variational methods in critical point theory and applications
• Differential systems with strongly indefinite variational structure
• Standing wave solutions of the nonlinear Schrödinger equation in \(\mathbb R^N\)
• Solutions with multiple spike patterns for an elliptic system
• Singularly perturbed elliptic systems
• Soliton solutions to systems of coupled Schrödinger equations of Hamiltonian type
• Positive splutions of semilinear elliptic systems
• Decay, symmetry and existence of solutions of semilinear elliptic systems
• On Superquadratic Elliptic Systems
• Strongly indefinite systems with critical Sobolev exponents
• On Existence and Concentration of Solutions for a Class of Hamiltonian Systems in ℝ^N
• On the existence of solutions of Hamiltonian elliptic systems in \(\mathbb{R}^N\).
• On critical semilinear elliptic systems.

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