On a fractional nonlinear equation on a bounded domain of \(\mathbb R^n\)
type: Item
instance of: scholarly article
title: On a fractional nonlinear equation on a bounded domain of \(\mathbb R^n\)
zbMATH Open document ID: 1444.35067
DOI: 10.4171/RSMUP/38
author: D. Kharzeev
published in: Rendiconti del Seminario Matematico della Università di Padova
publication date: 2020-07-13T00:00:00Z
review text: Summary: We establish perturbation results for a Nirenberg type equation involving the fractional Laplacian on a bounded domain of \(\mathbb R^n, n \geq 2\). Our method is based on the critical points at infinity theory of [\textit{A. Bahri}, Critical points at infinity in some variational problems. Harlow: Longman Scientific and Technical; New York: John Wiley and Sons. (1989; Zbl 0676.58021)]
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 7219811
zbMATH Keywords: fractional Laplacian
zbMATH Keywords: variational method
zbMATH Keywords: Palais-Smale condition
zbMATH Keywords: critical points at infinity
MaRDI profile type: Publication
cites work: Getting acquainted with the fractional Laplacian
full work available at URL: https://doi.org/10.4171/rsmup/38
OpenAlex ID: W2950749978
description: scientific article; zbMATH DE number 7219811