Multiple positive solutions of saturable nonlinear Schrödinger equations with intensity functions (Q1988308)

scientific article; zbMATH DE number 7190104

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English	Multiple positive solutions of saturable nonlinear Schrödinger equations with intensity functions	scientific article; zbMATH DE number 7190104

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instance of

scholarly article

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title

Multiple positive solutions of saturable nonlinear Schrödinger equations with intensity functions (English)

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Discrete and Continuous Dynamical Systems

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publication date

16 April 2020

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zbMATH Keywords

nonlinear Schrödinger equations

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existence of multiple positive solutions

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variational methods

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.3934/dcds.2020110

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cites work

Four positive solutions for the semilinear elliptic equation: $-\Delta u+u=a(x) u^p +f(x)$ in $\mathbb{R}^N$

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Dual variational methods in critical point theory and applications

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Nonlinear scalar field equations. I: Existence of a ground state

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The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function.

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On a class of asymptotically linear elliptic problems in $\mathbb R^N$

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Multiple solutions of Schrödinger equations with indefinite linear part and super or asymptotically linear terms

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The principle branch of solutions of a nonlinear elliptic eigenvalue problem on $\mathbb{R}^ N$

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On the variational principle

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On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝN

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A positive solution for an asymptotically linear elliptic problem on $\mathbb{R}^N$ autonomous at infinity

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Singularly perturbed elliptic problems with superlinear or asymptotically linear nonlinearities

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A remark on least energy solutions in $\mathbf {R}^N$

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The existence of a positive solution to asymptotically linear scalar field equations

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Ground states of nonlinear Schrödinger systems with saturable nonlinearity in $\mathbb {R}^2$R2 for two counterpropagating beams

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The virial theorem and ground state energy estimates of nonlinear Schrödinger equations in $\mathbb{R}^2$ with square root and saturable nonlinearities in nonlinear optics

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Orbital stability and energy estimate of ground states of saturable nonlinear Schrödinger equations with intensity functions in $\mathbb{R}^2$

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The concentration-compactness principle in the calculus of variations. The locally compact case. I

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The concentration-compactness principle in the calculus of variations. The locally compact case. II

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Existence of a positive solution of an elliptic equation on RN

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Asymptotically linear Schrödinger equation with potential vanishing at infinity

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On the shape of least‐energy solutions to a semilinear Neumann problem

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Uniqueness of ground states for quasilinear elliptic equations

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Applying the mountain pass theorem to an asymptotically linear elliptic equation on RN

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A note on asymptotically linear elliptic problems in $\mathbb R^N$

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Minimax theorems

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Identifiers

zbMATH Open document ID

1436.35097

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:1988308