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

DOI10.1016/j.bulsci.2015.04.007zbMath1344.35162OpenAlexW2298211108MaRDI QIDQ310058

Hichem Chtioui, Wael Abdelhedi

Publication date: 7 September 2016

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2015.04.007

zbMATH Keywords

critical exponentfractional Laplaciancritical points at infinity

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Variational principles in infinite-dimensional spaces (58E30) Qualitative properties of solutions to partial differential equations (35B99) Fractional partial differential equations (35R11)

Related Items (7)

A Complete Study of the Lack of Compactness and Existence Results of a Fractional Nirenberg Equation via a Flatness Hypothesis. Part II ⋮ Uniqueness of types of infinitely-many-bump solutions for the fractional Nirenberg problem ⋮ On a Nirenberg-type problem involving the half Laplacian: density and multiplicity of solutions ⋮ New approach on the solutions of nonlinear \(q\)-hybrid integro-differential equations ⋮ Fractional Yamabe solitons and fractional Nirenberg problem ⋮ Multi-bump solutions for fractional Nirenberg problem ⋮ PERTURBATION THEOREMS FOR FRACTIONAL CRITICAL EQUATIONS ON BOUNDED DOMAINS

Cites Work

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• Fractional Laplacian in conformal geometry
• Existence results for the prescribed scalar curvature on \(S^3\)
• Singular solutions of fractional order conformal Laplacians
• The scalar-curvature problem on the standard three-dimensional sphere
• A global compactness result for elliptic boundary value problems involving limiting nonlinearities
• Prescribing \(Q\)-curvature problem on \(S^n\)
• Positive solutions of nonlinear problems involving the square root of the Laplacian
• Periodic solutions of Hamiltonian systems of 3-body type
• The scalar curvature equation on 2- and 3-spheres
• Scattering matrix in conformal geometry
• Paneitz-type operators and applications
• Prescribing scalar curvature on \(S^ N\). I: A priori estimates.
• Prescribing scalar curvature on \(\mathbb{S}^ n\) and related problems. I
• Prescribed scalar curvature on the \(n\)-sphere
• An invariant for Yamabe-type flows with applications to scalar-curvature problems in high dimension
• Fractional conformal Laplacians and fractional Yamabe problems
• Nonlinear equations for fractional Laplacians. I: Regularity, maximum principles, and Hamiltonian estimates
• On a fractional Nirenberg problem. I: Blow up analysis and compactness of solutions
• A concave—convex elliptic problem involving the fractional Laplacian
• PRESCRIBING A FOURTH ORDER CONFORMAL INVARIANT ON THE STANDARD SPHERE — PART I: A PERTURBATION RESULT
• PRESCRIBING MEAN CURVATURE ON 𝔹ⁿ
• Conformally Invariant Powers of the Laplacian, I: Existence
• On positive solutions to semilinear conformally invariant equations on locally conformally flat manifolds
• On a Fractional Nirenberg Problem, Part II: Existence of Solutions
• An Extension Problem Related to the Fractional Laplacian

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