Regularity Properties for a Class of Non-uniformly Elliptic Isaacs Operators
Abstract: We consider the elliptic differential operator defined as the sum of the minimum and the maximum eigenvalue of the Hessian matrix, which can be viewed as a degenerate elliptic Isaacs operator, in dimension larger than two. Despite of nonlinearity, degeneracy, non-concavity and non-convexity, such an operator generally enjoys the qualitative properties of the Laplace operator, as for instance maximum and comparison principles, ABP and Harnack inequalities, Liouville theorems for subsolutions or supersolutions. Existence and uniqueness for the Dirichlet problem are also proved as well as local and global Hölder estimates for viscosity solutions. All results are discussed for a more general class of weighted partial trace operators.
- Standort
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Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
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Online-Ressource
- Sprache
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Englisch
- Erschienen in
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Regularity Properties for a Class of Non-uniformly Elliptic Isaacs Operators ; volume:20 ; number:1 ; year:2020 ; pages:213-241 ; extent:29
Advanced nonlinear studies ; 20, Heft 1 (2020), 213-241 (gesamt 29)
- Urheber
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Ferrari, Fausto
Vitolo, Antonio
- DOI
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10.1515/ans-2019-2069
- URN
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urn:nbn:de:101:1-2405031621422.515708692560
- Rechteinformation
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
- 14.08.2025, 11:03 MESZ
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Beteiligte
- Ferrari, Fausto
- Vitolo, Antonio
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