Results 1 to 10 of about 2,223 (301)
The extremal solution for the fractional Laplacian [PDF]
Calculus of Variations and Partial Differential Equations, 2013 We study the extremal solution for the problem $(-Δ)^s u=λf(u)$ in $Ω$, $u\equiv0$ in $\R^n\setminusΩ$, where $λ>0$ is a parameter and $s\in(0,1)$. We extend some well known results for the extremal solution when the operator is the Laplacian to this nonlocal case.
Xavier Ros-Oton, Joaquim Serra
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Conformal bootstrap deformations
Journal of High Energy Physics, 2022 We explore the space of extremal functionals in the conformal bootstrap. By recasting the bootstrap problem as a set of non-linear equations parameterized by the CFT data, we find an efficient algorithm for converging to the extremal solution ...
Nima Afkhami-Jeddi
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Electronic Journal of Qualitative Theory of Differential Equations, 2022 In the present paper, we are concerned with a very general problem, namely the Stieltjes differential Cauchy problem involving state-dependent discontinuities.
Bianca Satco
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Nonlocal Problems for Hilfer Fractional q-Difference Equations
Fractal and Fractional, 2023 In the paper, we investigate a kind of Hilfer fractional q-difference equations with nonlocal condition. Firstly, the existence and uniqueness results of solutions are obtained by using topological degree theory and Banach fixed point theorem ...
Chunping Tian, Haibo Gu, Zunkai Yang
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Energies, 2022 A brief review of the development of ideas on extremal principles in the theory of heat and mass transfer processes (including those in reacting media) is given. The extremal principles of non-equilibrium thermodynamics are critically examined.
Igor Donskoy
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An Extremal Graph Problem with a Transcendental Solution [PDF]
Combinatorics, Probability and Computing, 2018 We prove that the number of multigraphs with vertex set {1, . . .,n} such that every four vertices span at most nine edges isan2+o(n2)whereais transcendental (assuming Schanuel's conjecture from number theory). This is an easy consequence of the solution to a related problem about maximizing the product of the edge multiplicities in certain multigraphs,
Dhruv Mubayi, Caroline Terry 0001
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Journal of High Energy Physics, 2022 In this note, we explore holographic attributes of four-dimensional near-extremal Reissner-Nordstrom black hole solutions in ungauged N $$ \mathcal{N} $$ = 2 supergravity theories at the two-derivative level by recasting them as a specific first-order ...
Pedro Aniceto +2 more
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Flows of rotating extremal attractor black holes
Journal of High Energy Physics, 2023 We investigate the attractor mechanism of five-dimensional extremal rotating black holes in Einstein gravity minimally coupled with a multiplet complex scalar.
Norihiro Iizuka +2 more
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De-singularizing the extremal GMGHS black hole via higher derivatives corrections
Physics Letters B, 2021 The Gibbons-Maeda-Garfinkle-Horowitz-Strominger (GMGHS) black hole is an influential solution of the low energy heterotic string theory. As it is well known, it presents a singular extremal limit.
Carlos Herdeiro +2 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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