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Extremal Solutions of Functional Differential Inclusions
Let \(X\) be a separable Banach space; \({\mathcal K}\subset X\) be a cone and \(v: [-\tau,a]\to X\) be a solution of a problem \(\dot v(t)\in F(t,v_ t)+{\mathcal K}\), \(t\in [0,a]\); \(v_ 0\geq\varphi\), where \(F\) is a Carathéodory type multifunction with convex closed values satisfying the Ambrosetti type regularity condition. The viability result
Hu, S.C. +2 more
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Uniqueness of near-horizon geometries of rotating extremal AdS(4) black holes [PDF]
We consider stationary extremal black hole solutions of the Einstein-Maxwell equations with a negative cosmological constant in four dimensions. We determine all non-static axisymmetric near-horizon geometries and all static near-horizon geometries for ...
Lucietti, James, Kunduri, Hari K.
core +1 more source
On extremal sets without coprimes [PDF]
Ahlswede R, Khachatrian LH. On extremal sets without coprimes. Acta Arithmetica.
Levon Khachatrian +4 more
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Algorithmic Solution of Extremal Digraph Problems [PDF]
For a given family L \mathcal {L} of digraphs, we study the ...
Brown, William G. +2 more
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Generating Geodesic Flows and Supergravity Solutions [PDF]
We consider the geodesic motion on the symmetric moduli spaces that arise after timelike and spacellike reductions of supergravity theories. The geodesics correspond to timelike respectively spacelike p-brane Solutions when they are lifted over a p ...
Trigiante, Mario +10 more
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The study of non-supersymmetric black hole microstates offers the potential to resolve the black hole information paradox. A system of equations was recently obtained that enables the systematic construction of non-supersymmetric smooth horizonless ...
Guillaume Bossard +2 more
doaj +1 more source
We study extremal solutions arising in M-theory compactifications on Calabi-Yau threefolds, focussing on non-BPS attractors for their importance in relation to the Weak Gravity Conjecture (WGC); M2 branes wrapped on two-cycles give rise to black holes ...
Alessio Marrani +2 more
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Extremal rotating solutions in Hořava gravity [PDF]
14 pages, Latex file.
Ghodsi, Ahmad, Hatefi, Ehsan
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Einstein-Maxwell-scalar black holes: classes of solutions, dyons and extremality
Spherical black hole (BH) solutions in Einstein-Maxwell-scalar (EMS) models wherein the scalar field is non-minimally coupled to the Maxwell invariant by some coupling function are discussed. We suggest a classification for these models into two classes,
D. Astefanesei +3 more
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This article is concerned to the investigation of extremal solutions for a system of fractional order differential equations with coupled integral boundary value problem.
Yongjin Li, Kamal Shah, Rahmat Ali Khan
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