Results 21 to 30 of about 28,437 (265)
Noether Symmetries and Critical Exponents [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2005 We show that all Lie point symmetries of various classes of nonlinear differential equations involving critical nonlinearities are variational/divergence symmetries.
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Advances in Nonlinear Analysis, 2019 The paper is concerned with the existence and multiplicity of positive solutions of the nonhomogeneous Choquard equation over an annular type bounded domain.
Goel Divya, Sreenadh Konijeti
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Target Localization with Unknown Transmit Power and Path-Loss Exponent Using a Kalman Filter in WSNs
Sensors, 2020 We present a novel hybrid localization algorithm for wireless sensor networks in the absence of knowledge regarding the transmit power and path-loss exponent.
SeYoung Kang, TaeHyun Kim, WonZoo Chung
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Critical exponents for groups of isometries [PDF]
Geometriae Dedicata, 2007 Let \(\Gamma\) be a free group acting by isometries on a \(\text{CAT}(-1)\) space \((X,d_X)\) as a convex co-compact group and let \(\Gamma_0\) be a normal subgroup. The author shows that if the quotient group \(\Gamma/\Gamma_0\) is amenable, then \(\delta(\Gamma_0)=\delta(\Gamma)\).
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Critical Exponents in Zero Dimensions [PDF]
Journal of Statistical Physics, 2012 In the vicinity of the onset of an instability, we investigate the effect of colored multiplicative noise on the scaling of the moments of the unstable mode amplitude. We introduce a family of zero dimensional models for which we can calculate the exact value of the critical exponents $β_m$ for all the moments.
Alexakis, A., Pétrélis, F.
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Journal of Group TheoryAbstract We define and investigate the property of being “exponent-critical” for a finite group. A finite group is said to be exponent-critical if its exponent is not the least common multiple of the exponents of its proper non-abelian subgroups. We explore properties of exponent-critical groups and give a characterization of such groups.
Simon R. Blackburn +3 more
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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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Critical exponent for the Anderson transition in the three-dimensional orthogonal universality class
New Journal of Physics, 2014 We report a careful finite size scaling study of the metal–insulator transition in Anderson's model of localization. We focus on the estimation of the critical exponent ν that describes the divergence of the localization length.
Keith Slevin, Tomi Ohtsuki
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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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New Journal of Physics, 2019 We investigate the non-equilibrium dynamics across the miscible–immiscible phase separation in a binary mixture of Bose–Einstein condensates. The excitation spectra reveal that the Landau critical velocity vanishes at the critical point, where the ...
Xunda Jiang +3 more
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