Existence of solutions to perturbed fractional Nirenberg problems

Wael Abdelhedi; Suad Alhemedan; Hichem Chtioui; Hichem Hajaiej; Peter A. Markowich

Existence of solutions to perturbed fractional Nirenberg problems

Wael Abdelhedi, Suad Alhemedan, Hichem Chtioui, Hichem Hajaiej, Peter A. Markowich

Research output: Contribution to journal › Article › peer-review

Abstract

In this article we study a fractional Nirenberg problem with a small perturbation of a constant. Under a flatness assumption around the critical points, we prove an existence result in terms of Euler-Hopf index. Our method hinges on a revisited version of the celebrated critical points at infinity approach which goes back to Bahri.

Original language	English (US)
Article number	14
Journal	Electronic Journal of Differential Equations
Volume	2017
State	Published - 2017

Bibliographical note

Publisher Copyright:
©2017 Texas State University.

Keywords

Critical exponent
Fractional Laplacian
σ-curvature

ASJC Scopus subject areas

Analysis

Cite this

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title = "Existence of solutions to perturbed fractional Nirenberg problems",

abstract = "In this article we study a fractional Nirenberg problem with a small perturbation of a constant. Under a flatness assumption around the critical points, we prove an existence result in terms of Euler-Hopf index. Our method hinges on a revisited version of the celebrated critical points at infinity approach which goes back to Bahri.",

keywords = "Critical exponent, Fractional Laplacian, σ-curvature",

author = "Wael Abdelhedi and Suad Alhemedan and Hichem Chtioui and Hichem Hajaiej and Markowich, {Peter A.}",

note = "Publisher Copyright: {\textcopyright}2017 Texas State University.",

year = "2017",

language = "English (US)",

volume = "2017",

journal = "Electronic Journal of Differential Equations",

issn = "1072-6691",

publisher = "Texas State University, Department of Mathematics",

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T1 - Existence of solutions to perturbed fractional Nirenberg problems

AU - Abdelhedi, Wael

AU - Alhemedan, Suad

AU - Chtioui, Hichem

AU - Hajaiej, Hichem

AU - Markowich, Peter A.

PY - 2017

Y1 - 2017

N2 - In this article we study a fractional Nirenberg problem with a small perturbation of a constant. Under a flatness assumption around the critical points, we prove an existence result in terms of Euler-Hopf index. Our method hinges on a revisited version of the celebrated critical points at infinity approach which goes back to Bahri.

AB - In this article we study a fractional Nirenberg problem with a small perturbation of a constant. Under a flatness assumption around the critical points, we prove an existence result in terms of Euler-Hopf index. Our method hinges on a revisited version of the celebrated critical points at infinity approach which goes back to Bahri.

KW - Critical exponent

KW - Fractional Laplacian

KW - σ-curvature

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M3 - Article

AN - SCOPUS:85009853974

SN - 1072-6691

VL - 2017

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

M1 - 14

ER -

Existence of solutions to perturbed fractional Nirenberg problems

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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Cite this