Multi-bump solutions for fractional Nirenberg problem (Q1744663)

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English	Multi-bump solutions for fractional Nirenberg problem	scientific article

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scholarly article

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Multi-bump solutions for fractional Nirenberg problem (English)

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Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods

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publication date

19 April 2018

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full work available at URL

https://arxiv.org/abs/1612.04008

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zbMATH Keywords

fractional partial differential equations

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Lyapunov-Schmidt reduction

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critical exponents

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MaRDI profile type

MaRDI publication profile

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On a Nirenberg-type problem involving the square root of the Laplacian

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A complete study of the lack of compactness and existence results of a fractional Nirenberg equation via a flatness hypothesis. I

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Perturbation methods and semilinear elliptic problems on \(\mathbb R^n\)

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A Sobolev inequality with remainder term and critical equations on domains with topology for the polyharmonic operator

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Sharp Inequalities, the Functional Determinant, and the Complementary Series

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An Extension Problem Related to the Fractional Laplacian

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Fractional Laplacian in conformal geometry

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Classification of solutions for an integral equation

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Existence results for the fractional Nirenberg problem

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A perturbation result for the \(Q_{\gamma}\) curvature problem on \(\mathbb S^n\)

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Peak solutions for the fractional Nirenberg problem

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On a fractional Nirenberg problem on \(n\)-dimensional spheres: existence and multiplicity results

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Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum

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Nondegeneracy of the bubble in the critical case for nonlocal equations

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On a fractional Nirenberg problem. I: Blow up analysis and compactness of solutions

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On a Fractional Nirenberg Problem, Part II: Existence of Solutions

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The Nirenberg problem and its generalizations: a unified approach

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Remark on some conformally invariant integral equations: the method of moving spheres

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Multi-bump solutions of \(-\Delta = K(x)u^{\frac{n+2}{n-2}}\) on lattices in \(\mathbb{R}^n\)

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Uniqueness theorems through the method of moving spheres

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

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Concentration of solutions for the fractional Nirenberg problem

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Infinitely many non-radial solutions for fractional Nirenberg problem

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Positive or sign-changing solutions for a critical semilinear nonlocal equation

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Hitchhiker's guide to the fractional Sobolev spaces

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A quartic conformally covariant differential operator for arbitrary pseudo-Riemannian manifolds (Summary)

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Conformally covariant pseudo-differential operators

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

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Conformally Invariant Powers of the Laplacian, I: Existence

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Scattering matrix in conformal geometry

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

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.NA.2018.02.001

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Sitelinks

Mathematics(1 entry)

mardi Publication:1744663

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