A new type of bubble solutions for a critical fractional Schrödinger equation (Q6592944)

scientific article; zbMATH DE number 7901496

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English	A new type of bubble solutions for a critical fractional Schrödinger equation	scientific article; zbMATH DE number 7901496

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instance of

scholarly article

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title

A new type of bubble solutions for a critical fractional Schrödinger equation (English)

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Discrete and Continuous Dynamical Systems

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publication date

26 August 2024

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zbMATH Keywords

bubbling solutions

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fractional Schrödinger equations

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local Pohozaev identities

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reduction argument

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MaRDI profile type

Publication

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cites work

Ground states for a fractional scalar field problem with critical growth.

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Multiplicity of positive solutions for a class of fractional Schrödinger equations via penalization method

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Nonlinear Fractional Schrödinger Equations in R^N

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Lévy Processes and Stochastic Calculus

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On some critical problems for the fractional Laplacian operator

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An Extension Problem Related to the Fractional Laplacian

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Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation

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On the scalar curvature equation \(-\Delta u = (1+\varepsilon K)u ^{(N+2)/(N-2)}\) in \({\mathbb R}^N\)

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Singularly Perturbed Methods for Nonlinear Elliptic Problems

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A perturbation result in prescribing scalar curvature on \(S^ n\)

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Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity

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The Fractional Laplacian

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Infinitely many solutions for the Schrödinger equations in \(\mathbb R^N\) with critical growth

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Spectrum of the fractional \(p\)-Laplacian in \(\mathbb{R}^N\) and decay estimate for positive solutions of a Schrödinger equation

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Two-bubble solutions in the super-critical Bahri-Coron's problem

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Intermediate reduction method and infinitely many positive solutions of nonlinear Schrödinger equations with non-symmetric potentials

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Hitchhiker's guide to the fractional Sobolev spaces

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Multi-piece of bubble solutions for a nonlinear critical elliptic equation

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New type of solutions for the nonlinear Schrödinger equation in \(\mathbb{R}^N\)

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Doubling the equatorial for the prescribed scalar curvature problem on \(\mathbb{S}^N\)

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Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces

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Infinitely many solutions for the prescribed curvature problem of polyharmonic operator

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Solutions for fractional Schrödinger equation involving critical exponent via local Pohozaev identities

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Infinitely many non-radial solutions for the prescribed curvature problem of fractional operator

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Local uniqueness and periodicity for the prescribed scalar curvature problem of fractional operator in \({\mathbb {R}}^{N}\)

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Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities

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Least energy solutions for nonlinear Schrödinger equation involving the fractional Laplacian and critical growth

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The scalar curvature equation on \(\mathbb R^N\)

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Constructing solutions for the prescribed scalar curvature problem via local Pohozaev identities

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Construction of solutions via local Pohozaev identities

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Arbitrary number of positive solutions for an elliptic problem with critical nonlinearity

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Regularity of the obstacle problem for a fractional power of the laplace operator

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Fractional dynamics of systems with long-range interaction

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A Neumann problem with critical exponent in nonconvex domains and Lin-Ni’s conjecture

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Infinitely many solutions for the prescribed scalar curvature problem on \(\mathbb S^N\)

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Concentration of solutions for the scalar curvature equation on \(\mathbb{R}^n\)

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Identifiers

zbMATH Open document ID

1547.35725

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DOI

10.3934/dcds.2024048

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6592944