Results 31 to 40 of about 5,079,022 (381)
New critical exponent inequalities for percolation and the random cluster model [PDF]
, 2019 We apply a variation on the methods of Duminil-Copin, Raoufi, and Tassion to establish a new differential inequality applying to both Bernoulli percolation and the Fortuin-Kasteleyn random cluster model. This differential inequality has a similar form to
Tom Hutchcroft
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AIMS Mathematics, 2020 We investigate the Cauchy problem for the nonlinear damped wave equation $u_{tt}-\Delta u +u_t=|u|^p+|\nabla u|^q +w(x)$, where $N\geq 1$, $p,q>1$, $w\in L^1_{loc}(\mathbb{R}^N)$, $w\geq 0$ and $w\not\equiv 0$.
Bessem Samet
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Critical exponents of plane meanders [PDF]
Journal of Physics A: Mathematical and General, 2000 8 pages, 4 eps ...
Iwan Jensen, Anthony J. Guttmann
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Advances in Nonlinear Analysis, 2019 This paper concerns the existence and multiplicity of solutions for the Schrődinger–Kirchhoff type problems involving the fractional p–Laplacian and critical exponent.
Mingqi Xiang +2 more
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Scale-free Monte Carlo method for calculating the critical exponent γ of self-avoiding walks [PDF]
, 2017 We implement a scale-free version of the pivot algorithm and use it to sample pairs of three-dimensional self-avoiding walks, for the purpose of efficiently calculating an observable that corresponds to the probability that pairs of self-avoiding walks ...
N. Clisby
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Journal of Combinatorial Theory, Series A, 2016 The study of entrywise powers of matrices was originated by Loewner in the pursuit of the Bieberbach conjecture. Since the work of FitzGerald and Horn (1977), it is known that $A^{\circ } := (a_{ij}^ )$ is positive semidefinite for every entrywise nonnegative $n \times n$ positive semidefinite matrix $A = (a_{ij})$ if and only if $ $ is a positive ...
Guillot, Dominique +2 more
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Boundary Value Problems, 2020 In this paper, we study the Neumann boundary value problem to a quasilinear elliptic equation with the critical Sobolev exponent and critical Hardy–Sobolev exponent, and prove the existence of nontrivial nonnegative solution by means of variational ...
Yuanxiao Li, Xiying Wang
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Exponent-critical primitive graphs and the Kronecker product
Electronic Journal of Graph Theory and Applications, 2019 A directed graph is primitive of exponent t if it contains walks of length t between all pairs of vertices, and t is minimal with this property. Moreover, it is exponent-critical if the deletion of any arc results in an imprimitive graph or in a ...
Olga O'Mahony, Rachel Quinlan
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The dynamic exponent of the Ising model on negatively curved surfaces [PDF]
, 2006 We investigate the dynamic critical exponent of the two-dimensional Ising model defined on a curved surface with constant negative curvature. By using the short-time relaxation method, we find a quantitative alteration of the dynamic exponent from the ...
Binder K +16 more
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Solutions to Kirchhoff equations with critical exponent
Arab Journal of Mathematical Sciences, 2016 In this paper, we study the following problems {Δ2u−M(∫Ω|∇u|2dx)Δu=λf(x,u)+|u|2∗−2uinΩu=Δu=0on∂Ω, where 2∗=2NN−4 is the critical exponent. Under some conditions on M and f, we prove the existence of nontrivial solutions by using variational methods.
El Miloud Hssini +2 more
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