Results 11 to 20 of about 70,107 (293)
The extremal solution for the fractional Laplacian
Calculus of Variations and Partial Differential Equations, 2013 We study the extremal solution for the problem $(-\Delta)^s u=\lambda f(u)$ in $\Omega$, $u\equiv0$ in $\R^n\setminus\Omega$, where $\lambda>0$ is a parameter and $s\in(0,1)$.
Ros-Oton, Xavier, Serra, Joaquim
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Extremal solutions of measure differential equations
Journal of Mathematical Analysis and Applications, 2016 The paper concerns the existence of the least and the greatest solutions for measure differential equations. The relationship with the notions of lower and upper solution is also investigated. Interesting examples are provided to motivate the key assumptions in each result.
Giselle Antunes Monteiro +1 more
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Squashed black holes at large D
Journal of High Energy Physics, 2021 Using the large D effective theory approach, we construct a static solution of non-extremal and squashed black holes with/without an electric charge, which describes a spherical black hole in a Kaluza-Klein spacetime with a compactified dimension.
Ryotaku Suzuki, Shinya Tomizawa
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Universal entropy and hawking radiation of near-extremal AdS4 black holes
Journal of High Energy Physics, 2021 We compute the Bekenstein-Hawking entropy of near-extremal asymptotically AdS4 electrically charged rotating black holes using three different methods: (i) from the gravity solution, (ii) from the near-horizon Kerr/CFT correspondence and (iii) from the ...
Marina David, Jun Nian
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Heating up branes in gauged supergravity [PDF]
, 2014 In this note, we explore the solution space of non-extremal black objects in $4D$ and $5D$ ${\cal N}=2$ gauged supergravity in the presence of fluxes. We present first order rewritings of the $4D$ action for a classes of non-extremal dyonic and electric ...
Goldstein, Kevin +2 more
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Constrained extremal solutions of multi-valued linear inclusions in Banach spaces
Journal of Inequalities and Applications, 2016 Let X and Y be Banach spaces, L be a linear manifold in X × Y $X\times Y$ , or, equivalently, the graph of a multi-valued linear operator from X to Y, and let S be a prescribed hyperplane in X, i.e. S = g + N $S=g+N$ .
Zi Wang, Boying Wu, Yuwen Wang
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Extremal Black Holes as Exact String Solutions [PDF]
Physical Review Letters, 1994 13 pages, harvmac, Imperial/TP/93-94/51, UCSBTH-94-24 (references added)
Horowitz, Gary T., Tseytlin, A. A.
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Thermodynamic and gravitational instability on hyperbolic spaces [PDF]
, 2003 We study the properties of anti--de Sitter black holes with a Gauss-Bonnet term for various horizon topologies (k=0, \pm 1) and for various dimensions, with emphasis on the less well understood k=-1 solution.
A. Chamblin +47 more
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A General Black String and its Microscopics [PDF]
, 2010 Using G2(2) dualities we construct the most general black string solution of minimal five-dimensional ungauged supergravity. The black string has five independent parameters, namely, the magnetic one-brane charge, smeared electric zero-brane charge ...
A Bouchareb +49 more
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QUANTUM CORRECTIONS AND EXTREMAL BLACK HOLES [PDF]
, 1995 We consider static solutions of two dimensional dilaton gravity models as toy laboratories to address the question of the final fate of black holes. A non perturbative correction to the CGHS potential term is shown to lead classically to an extremal ...
Banks +21 more
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