The sharp exponent in the study of the nonlocal Hénon equation in $${\mathbb {R}}^{N}$$: a Liouville theorem and an existence result
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Analysis
Link
https://link.springer.com/content/pdf/10.1007/s00526-020-01763-z.pdf
Reference69 articles.
1. Alberti, G., Bellettini, G.: A nonlocal anisotropic model for phase transitions. I. The optimal profile problem. Math. Ann. 310(3), 527–560 (1998)
2. Applebaum, D.: Lévy Processes and Stochastic Calculus. Cambridge Studies in Advanced Mathematics, vol. 116, 2nd edn. Cambridge University Press, Cambridge (2009)
3. Aubin, T.: Problemes isopérimétriques et espaces de Sobolev. J. Differ. Geom. 11, 573–598 (1976)
4. Barrios, B., Colorado, E., Servadei, R., Soria, F.: A critical fractional equation with concave convex power nonlinearities. Annales de l’Institut Henri Poincare (C) Non Linear Analysis 32(4), 875–900 (2015)
5. Barrios, B., Figalli, A., Ros-Oton, X.: Global regularity for the free boundary in the obstacle problem for the fractional Laplacian. Am. J. Math. 140, 415–447 (2018)
Cited by 8 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Liouville-type theorems for fractional Hardy–Hénon systems;Nonlinear Differential Equations and Applications NoDEA;2023-12-28
2. Linear non-degeneracy and uniqueness of the bubble solution for the critical fractional Hénon equation in $ \mathbb{R}^N $;Discrete and Continuous Dynamical Systems;2023
3. Liouville theorem for Hénon-Hardy systems in the unit ball;Revista Matemática Complutense;2022-10-09
4. Existence and uniqueness of radial solutions for Hardy-Hénon equations involving <i>k</i>-Hessian operators;Communications on Pure and Applied Analysis;2022
5. Complete classification and nondegeneracy of minimizers for the fractional Hardy-Sobolev inequality, and applications;Journal of Differential Equations;2021-04
1.学者识别学者识别
2.学术分析学术分析
3.人才评估人才评估
"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370
www.globalauthorid.com
TOP
Copyright © 2019-2024 北京同舟云网络信息技术有限公司 京公网安备11010802033243号 京ICP备18003416号-3