Comparison results for a nonlocal singular elliptic problem-Reference-Cited by-同舟云学术

Comparison results for a nonlocal singular elliptic problem

Published:2023-11-10 Issue:3-4 Volume:135 Page:421-444
ISSN:1875-8576
Container-title:Asymptotic Analysis
language:
Short-container-title:ASY

Author:

Brandolini Barbara¹,de Bonis Ida²,Ferone Vincenzo³,Volzone Bruno⁴

Affiliation:

1. Dipartimento di Matematica e Informatica, Università degli Studi di Palermo, via Archirafi 34, 90123 Palermo, Italy

2. Dipartimento di Pianificazione, Design, Tecnologia dell’Architettura, Sapienza Università di Roma, via Flaminia 72, 00196 Roma, Italy

3. Dipartimento di Matematica e Applicazioni “R. Caccioppoli”, Università degli Studi di Napoli Federico II, Complesso Univ. Monte S. Angelo, via Cintia, 80126 Napoli, Italy

4. Dipartimento di Scienze Economiche, Giuridiche, Informatiche e Motorie, Università degli Studi di Napoli “Parthenope”, Centro direzionale, Isola C4, 80143 Napoli, Italy

Abstract

We provide symmetrization results in the form of mass concentration comparisons for fractional singular elliptic equations in bounded domains, coupled with homogeneous external Dirichlet conditions. Two types of comparison results are presented, depending on the summability of the right-hand side of the equation. The maximum principle arguments employed in the core of the proofs of the main results offer a nonstandard, flexible alternative to the ones described in (Arch. Ration. Mech. Anal. 239 (2021) 1733–1770, Theorem 31). Some interesting consequences are L p regularity results and nonlocal energy estimates for solutions.

Publisher

IOS Press

Subject

General Mathematics

Reference32 articles.

1. Symmetric decreasing rearrangement is sometimes continuous;Almgren;J. Amer. Math. Soc.,1989

2. On optimization problems with prescribed rearrangements;Alvino;Nonlinear Anal.,1989

3. Sharp estimates for solutions of parabolic equations with a lower order term;Alvino;J. Appl. Funct. Anal.,2008

4. C. Bandle, Isoperimetric Inequalities and Applications, Monographs and Studies in Mathematics, Vol. 7, Pitman (Advanced Publishing Program), Boston, MA, 1980.

5. Semilinear problems for the fractional Laplacian with a singular nonlinearity;Barrios;Open Math.,2015

Cited by 2 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. Symmetrization results for general nonlocal linear elliptic and parabolic problems;Journal de Mathématiques Pures et Appliquées;2024-10

2. Symmetrization results for parabolic equations with a singular lower order term;Ricerche di Matematica;2024-08-21