Asymptotic profiles for a nonlinear Schrödinger equation with critical combined powers nonlinearity (Q2700846)

scientific article; zbMATH DE number 7680044

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English	Asymptotic profiles for a nonlinear Schrödinger equation with critical combined powers nonlinearity	scientific article; zbMATH DE number 7680044

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instance of

scholarly article

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title

Asymptotic profiles for a nonlinear Schrödinger equation with critical combined powers nonlinearity (English)

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Mathematische Zeitschrift

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publication date

27 April 2023

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full work available at URL

https://arxiv.org/abs/2108.01421

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zbMATH Keywords

nonlinear Schrödinger equation

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critical Sobolev exponent

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concentration compactness

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normalized solutions

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asymptotic behaviour

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MaRDI profile type

Publication

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cites work

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Non-existence of ground states and gap of variational values for $3D$ Sobolev critical nonlinear scalar field equations

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Uniqueness of ground states for combined power-type nonlinear scalar field equations involving the Sobolev critical exponent at high frequencies in three and four dimensions

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Existence of a ground state solution for a nonlinear scalar field equation with critical growth

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

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Solitons and scattering for the cubic-quintic nonlinear Schrödinger equation on ${\mathbb{R}^3}$

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The double-power nonlinear Schrödinger equation and its generalizations: uniqueness, non-degeneracy and applications

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Existence of normalized ground states for the Sobolev critical Schrödinger equation with combined nonlinearities

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Choquard equations with critical nonlinearities

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

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Ground state solution for a class of Schrödinger equations involving general critical growth term

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Asymptotic properties of ground states of scalar field equations with a vanishing parameter

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Q4221424

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Normalized ground states for the NLS equation with combined nonlinearities: the Sobolev critical case

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The Nonlinear Schrödinger Equation with Combined Power-Type Nonlinearities

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Normalized solutions for Schrödinger equations with critical Sobolev exponent and mixed nonlinearities

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On some nonlinear Schrödinger equations in ℝ<sup><i>N</i></sup>

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A BERESTYCKI–LIONS THEOREM REVISITED

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Identifiers

Mathematics Subject Classification ID

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10.1007/S00209-023-03271-0

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Sitelinks

Mathematics(1 entry)

mardi Publication:2700846