The existence result for a relativistic nonlinear Schrödinger equation
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Publication:5245245
DOI10.1063/1.4916288zbMath1308.35265OpenAlexW2050695672MaRDI QIDQ5245245
Publication date: 7 April 2015
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.4916288
NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Positive solutions to PDEs (35B09)
Related Items (4)
Positive solutions for a relativistic nonlinear Schrödinger equation with critical exponent and Hardy potential ⋮ Existence of solutions for a class of generalized quasilinear Schrödinger equations ⋮ Ground state for relativistic nonlinear Schrödinger equations involving general nonlinear term ⋮ The first eigenvalue for a quasilinear Schrödinger operator and its application
Cites Work
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- The concentration-compactness principle in the calculus of variations. The locally compact case. II
- Global existence of small solutions to a relativistic nonlinear Schrödinger equation
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- On the existence of soliton solutions to quasilinear Schrödinger equations
- The existence and uniqueness result for a relativistic nonlinear Schrödinger equation
- Soliton solutions for quasilinear Schrödinger equations. II.
- Soliton solutions for generalized quasilinear Schrödinger equations
- Evolution theorem for a class of perturbed envelope soliton solutions
- On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝN
- A remark on least energy solutions in $\mathbf {R}^N$
- Soliton solutions for quasilinear Schrödinger equations
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