Results 31 to 40 of about 11,140 (266)
On a p-Laplacian system with critical Hardy–Sobolev exponents and critical Sobolev exponents [PDF]
Ukrainian Mathematical Journal, 2012 In this paper, the existence results of positive solutions for the semiliner elliptic system \[ \begin{cases} -\text{div} (|\nabla u_i|^{p-2} \nabla u_i) - \mu \frac{|u_i|^{p-2}u_i}{|x|^p} \\ = \frac{1}{p^*} F_{u_i}(u_1,\ldots,u_k) + \frac{|u_i|^{p^*(t)-2}u_i}{|x|^t} + \lambda \frac{|u_i|^{p-2}u_i}{|x|^s}, \quad x \in \Omega, \\ u_i=0 \quad \text{on} \;
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The Critical Exponent is Computable for Automatic Sequences [PDF]
Electronic Proceedings in Theoretical Computer Science, 2011 The critical exponent of an infinite word is defined to be the supremum of the exponent of each of its factors. For k-automatic sequences, we show that this critical exponent is always either a rational number or infinite, and its value is computable. Our results also apply to variants of the critical exponent, such as the initial critical exponent of ...
Luke Schaeffer, Jeffrey O. Shallit
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P-V criticality of AdS black holes in a general framework
Physics Letters B, 2017 In black hole thermodynamics, it has been observed that AdS black holes behave as van der Waals system if one interprets the cosmological constant as a pressure term. Also the critical exponents for the phase transition of AdS black holes and the van der
Bibhas Ranjan Majhi, Saurav Samanta
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The concentration-compactness principles for Ws,p(·,·)(ℝN) and application
Advances in Nonlinear Analysis, 2020 We obtain a critical imbedding and then, concentration-compactness principles for fractional Sobolev spaces with variable exponents. As an application of these results, we obtain the existence of many solutions for a class of critical nonlocal problems ...
Ho Ky, Kim Yun-Ho
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Revisiting (logarithmic) scaling relations using renormalization group
Condensed Matter Physics, 2017 We explicitly compute the critical exponents associated with logarithmic corrections (the so-called hatted exponents) starting from the renormalization group equations and the mean field behavior for a wide class of models at the upper critical behavior (
J.J. Ruiz-Lorenzo
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Neuroblastoma's complex, heterogeneous biology poses significant diagnostic and therapeutic challenges, often requiring caregivers to absorb complex information and participate in time‐sensitive decisions. However, caregivers often feel unprepared to evaluate options.
Vickie Buenger +8 more
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Lyapunov exponents as probes for a phase transition of a Kerr-AdS black hole
Physics Letters BIn this letter, we study proper time Lyapunov exponents and coordinate time Lyapunov exponents of chaos for both massless and massive particles orbiting a four-dimensional Kerr-AdS black hole, and explore their relationships with the phase transition of ...
Deyou Chen, Chuang Yang, Yongtao Liu
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Critical behavior of CrTe1-xSbx ferromagnet
AIP Advances, 2018 The modified Arrott plots and Kouvel-Fisher analysis are used to investigate the critical behavior of CrTe1-xSbx ferromagnetic material near its transition temperature Tc.
M. Kh. Hamad, Kh. A. Ziq
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A conjectured upper bound on the Choptuik critical exponents
Nuclear Physics B, 2021 Near-critical type II gravitational collapse is characterized by the formation of arbitrarily small black holes whose horizon radii are described by the simple scaling law rBH∝(p−p⁎)γ, where γ is the matter-dependent Choptuik critical exponent and Δp≡p−p⁎
Shahar Hod
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Geometrical interpretation of critical exponents
Physical Review EWe develop the hypothesis that the dynamics of a given system may lead to the activity being constricted to a subset of space, characterized by a fractal dimension smaller than the space dimension. We also address how the response function might be sensitive to this change in dimensionality.
Henrique A. Lima +4 more
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