Positive and Nodal Solutions of Nonlinear Schrödinger Equations in a Saturable Medium

DOI10.1515/ANS-2015-0111zbMath1316.35265OpenAlexW2510662844MaRDI QIDQ5178523

Ricardo Ruviaro, Liliane A. Maia

Publication date: 16 March 2015

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2015-0111

zbMATH Keywords

Pohozaev identityasymptotically linear problemssaturable media

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10) Lasers, masers, optical bistability, nonlinear optics (78A60) Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09)

Related Items (2)

A positive bound state for an asymptotically linear or superlinear Schrödinger equation ⋮ Normalized multi-bump solutions for saturable Schrödinger equations

Cites Work

• A global compactness result for elliptic boundary value problems involving limiting nonlinearities
• Guidance properties of nonlinear planar waveguides
• On the variational principle
• Singularly perturbed elliptic problems with superlinear or asymptotically linear nonlinearities
• Dual variational methods in critical point theory and applications
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝ^N

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