Standing waves for a system of nonlinear Schrödinger equations in R N

DOI10.3233/ASY-151347zbMath1339.35301OpenAlexW2287429560MaRDI QIDQ2805933

Cláudia R. Santana, João Marcos Bezerra do Ó, Olímpio Hiroshi Miyagaki

Publication date: 13 May 2016

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3233/asy-151347

zbMATH Keywords

variational methodselliptic systemsnonlinear Schrödinger equationsvanishing potentialbounded states

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Variational methods for higher-order elliptic equations (35J35)

Related Items (1)

Multiplicity of semiclassical states solutions for a weakly coupled Schrödinger system with critical growth in divergent form

Cites Work

• Existence of solutions for a class of elliptic equations in \(\mathbb R^N\) with vanishing potentials
• Nonlinear scalar field equations. I: Existence of a ground state
• The concentration-compactness principle in the calculus of variations. The limit case. II
• Multiplicity of solutions for elliptic systems via local mountain pass method
• On a class of nonlinear Schrödinger equations
• Existence and multiplicity of solutions of semilinear elliptic equations in \(\mathbb{R}^N\)
• On the existence of positive entire solutions of a semilinear elliptic equation
• Local mountain passes for semilinear elliptic problems in unbounded domains
• Local mountain pass for a class of elliptic system
• NONLINEAR SCHRÖDINGER EQUATIONS WITH UNBOUNDED AND DECAYING RADIAL POTENTIALS
• Ground states of nonlinear Schrödinger equations with potentials vanishing at infinity
• Local mountain-pass for a class of elliptic problems in \(\mathbb R^N\) involving critical growth

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