Solutions concentrating around the saddle points of the potential for two-dimensional Schrödinger equations (Q2421790)

scientific article

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English	Solutions concentrating around the saddle points of the potential for two-dimensional Schrödinger equations	scientific article

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instance of

scholarly article

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title

Solutions concentrating around the saddle points of the potential for two-dimensional Schrödinger equations (English)

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author

João Marcos Bezerra do Ó

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Pawan Kumar Mishra

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Jian Jun Zhang

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published in

ZAMP. Zeitschrift für angewandte Mathematik und Physik

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publication date

18 June 2019

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zbMATH Keywords

critical growth

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Trudinger-Moser inequality

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lack of compactness

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saddle potential

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s00033-019-1100-8

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cites work

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Mountain pass solutions for singularly perturbed nonlinear Dirichlet problems

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Semi-classical standing waves for nonlinear Schrödinger equations at structurally stable critical points of the potential

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Standing waves with a critical frequency for nonlinear Schrödinger equations

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Multi-bump solutions for singularly perturbed Schrödinger equations in $\mathbb{R}^2$ with general nonlinearities

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Semiclassical states for the nonlinear Schrödinger equation on saddle points of the potential via variational methods

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Elliptic equations and systems with critical Trudinger-Moser nonlinearities

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Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential

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Existence of multi-bumb solutions for nonlinear schrödinger equations via variational method

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

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Elliptic equations and systems with subcritical and critical exponential growth without the Ambrosetti-Rabinowitz condition

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

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Q5603485

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On the location and profile of spike‐layer solutions to singularly perturbed semilinear dirichlet problems

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Existence of Semiclassical Bound States of Nonlinear Schrödinger Equations with Potentials of the Class (V)<sub>a</sub>

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On a class of nonlinear Schrödinger equations

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On harnack type inequalities and their application to quasilinear elliptic equations

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Standing waves for nonlinear Schrödinger equations involving critical growth

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Standing waves for nonlinear Schrödinger equations involving critical growth of Trudinger-Moser type

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Solutions concentrating around the saddle points of the potential for critical Schrödinger equations

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Identifiers

zbMATH Open document ID

1415.35015

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Mathematics Subject Classification ID

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10.1007/S00033-019-1100-8

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Sitelinks

Mathematics(1 entry)

mardi Publication:2421790