On some nonlinear Schrödinger equations in ℝN (Q6052817)

scientific article; zbMATH DE number 7741859

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English	On some nonlinear Schrödinger equations in ℝ<sup><i>N</i></sup>	scientific article; zbMATH DE number 7741859

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instance of

scholarly article

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title

On some nonlinear Schrödinger equations in ℝN (English)

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Proceedings of the Royal Society of Edinburgh: Section A Mathematics

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publication date

25 September 2023

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zbMATH Keywords

nonlinar Schrödinger equation

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power-type nonlinearity

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critical exponent

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existence

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MaRDI profile type

MaRDI publication profile

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cites work

Linear instability and nondegeneracy of ground state for combined power-type nonlinear scalar field equations with the Sobolev critical exponent and large frequency parameter

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Existence of a ground state and blow-up problem for a nonlinear Schrödinger equation with critical growth.

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Global dynamics above the ground state energy for the combined power-type nonlinear Schrödinger equations with energy-critical growth at low frequencies

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Uniqueness and nondegeneracy of ground states to nonlinear scalar field equations involving the Sobolev critical exponent in their nonlinearities for high frequencies

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Emden-Fowler equations involving critical exponents

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

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Existence and stability of standing waves for supercritical NLS with a partial confinement

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

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Positive solutions of nonlinear elliptic equations involving critical sobolev exponents

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Bubble tower solutions for supercritical elliptic problem in R^N

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On the Brezis-Nirenberg problem in a ball.

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Uniqueness of the ground state solution for \(\Delta u - u + u^3=0\) and a variational characterization of other solutions

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Solitary waves and dynamics for subcritical perturbations of energy critical NLS

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Non-uniqueness of positive ground states of non-linear Schrödinger equations

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Action versus energy ground states in nonlinear Schrödinger equations

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On subcriticality assumptions for the existence of ground states of quasilinear elliptic equations.

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Q3923023

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Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters

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Multiple normalized solutions for a Sobolev critical Schrödinger-Poisson-Slater equation

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On global minimizers for a mass constrained problem

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Quasilinear elliptic equations with nearly critical growth

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Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)

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

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

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

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Uniqueness of Positive Radial Solutions of Δu + f(u) = 0 in ℝ n , II

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Uniqueness of positive radial solutions of \(\Delta u+f(u)=0\) in \({\mathbb{R}}^ n\)

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Uniqueness of positive solutions of semilinear equations in \(R^ n\).

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Uniqueness of non-negative solutions of semilinear equations in \({\mathbb{R}}^ n\)

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Q4221424

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Uniqueness of ground states for quasilinear elliptic equations

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

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

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Minimax theorems

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A BERESTYCKI–LIONS THEOREM REVISITED

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Identifiers

zbMATH Open document ID

1522.35180

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6052817

On some nonlinear Schrödinger equations in ℝ<sup><i>N</i></sup> (Q6052817)

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Identifiers

Sitelinks

Mathematics(1 entry)