A deformation theory in augmented spaces and concentration results for NLS equations around local maxima (Q6601634)

scientific article; zbMATH DE number 7910311

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English	A deformation theory in augmented spaces and concentration results for NLS equations around local maxima	scientific article; zbMATH DE number 7910311

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instance of

scholarly article

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title

A deformation theory in augmented spaces and concentration results for NLS equations around local maxima (English)

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10 September 2024

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zbMATH Keywords

nonlinear Schrödinger equation

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singular perturbation

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local maxima

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deformation theory

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MaRDI profile type

Publication

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cites work

Semiclassical states of nonlinear Schrödinger equations

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Multiplicity results for some nonlinear Schrödinger equations with potentials

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

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Standing waves for nonlinear Schrödinger equations with a general nonlinearity

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

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Q2925674

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Multi-bump positive solutions for a nonlinear elliptic problem in expanding tubular domains

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On the fractional NLS equation and the effects of the potential Well's topology

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Multiple semiclassical standing waves for a class of nonlinear Schrödinger equations

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Multiple positive solutions to nonlinear Schrödinger equations with competing potential functions

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Semi-classical states for the nonlinear Choquard equations: existence, multiplicity and concentration at a potential well

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Ground State Solutions for the Nonlinear Choquard Equation with Prescribed Mass

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Deformation Argument under PSP Condition and Applications

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Multiplicity of positive solutions of nonlinear Schrödinger equations concentrating at a potential well

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Multiple complex-valued solutions for nonlinear magnetic Schrödinger equations

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Normalized solutions for fractional nonlinear scalar field equations via Lagrangian formulation

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Multiple solutions for the nonlinear Choquard equation with even or odd 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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Local mountain passes for semilinear elliptic problems in unbounded domains

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Semi-classical states of nonlinear Schrödinger equations: a variational reduction method

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

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Multiplicity and concentration results for local and fractional NLS equations with critical growth

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Nonlinear scalar field equations with $L^2$ constraint: mountain pass and symmetric mountain pass approaches

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Nonlinear scalar field equations in $\mathbb{R}^N$: Mountain pass and symmetric mountain pass approaches

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A note on deformation argument for $L^2$ normalized solutions of nonlinear Schrödinger equations and systems

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

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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 concentration of positive bound states of nonlinear Schrödinger equations

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Identifiers

zbMATH Open document ID

1547.35038

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DOI

10.1007/978-3-031-20021-2_16

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6601634