Starshapedness of the superlevel sets of solutions to equations involving the fractional Laplacian in starshaped rings-Reference-Cited by-同舟云学术

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Starshapedness of the superlevel sets of solutions to equations involving the fractional Laplacian in starshaped rings

Published:2019-01-17 Issue:5 Volume:292 Page:1008-1021
ISSN:0025-584X
Container-title:Mathematische Nachrichten
language:en
Short-container-title:Mathematische Nachrichten

Author:

Jarohs Sven¹^ORCID,Kulczycki Tadeusz²^ORCID,Salani Paolo³

Affiliation:

1. Johann Wolfgang Goethe‐Universität FrankfurtFachbereich MathematikPostfach 11 19 32 60054 Frankfurt Germany

2. Wrocław University of Science and Technologywybrzeże Stanisława Wyspiańskiego 27 50‐370 Wrocław Poland

3. Università Degli Studi di FirenzeDipartimento di Matematica e Informatica “Ulisse Dini”Viale Giovanni Battista Morgagni, 67/A 50134 Firenze FI Italy

Funder

Istituto Nazionale di Alta Matematica "Francesco Severi"

Narodowe Centrum Nauki

Publisher

Wiley

Subject

General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mana.201700226

Reference34 articles.

1. Large $s$-harmonic functions and boundary blow-up solutions for the fractional Laplacian

2. N.AbatangeloandE.Valdinoci Getting acquainted with the fractional Laplacian (preprint 2017) available athttps://arxiv.org/abs/1710.11567.

3. N.Abatangelo S.Jarohs andA.Saldaña On the maximum principle for higher‐order fractional Laplacians (preprint 2016) available athttps://arxiv.org/abs/1607.00929.

4. On the uniqueness, monotonicity, starlikeness, and convexity of solutions for a nonlinear boundary value problem in elliptic PDEs

5. On the First Eigenfunction of the Symmetric Stable Process in a Bounded Lipschitz Domain

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