Quantitative properties of ground-states to an M-coupled system with critical exponent in ℝN
Sign Up to like & getrecommendations! Published in 2018 at "Science China Mathematics"
DOI: 10.1007/s11425-016-0464-4
Abstract: AbstractIn this paper, we consider the ground-states of the following M-coupled system: $$\left\{ {\begin{array}{*{20}{c}} { - \Delta {u_i} = \sum\limits_{j = 1}^M {{k_{ij}}\frac{{2{q_{ij}}}}{{2*}}{{\left| {{u_j}} \right|}^{{p_{ij}}}}{{\left| {{u_i}} \right|}^{{q_{ij}} - {2_{{u_i}}}}},x \in {\mathbb{R}^N},} } \\ {{u_i} \in… read more here.
Keywords: quantitative properties; ground; ground states; states coupled ... See more keywords
Solitary states for coupled oscillators with inertia.
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DOI: 10.1063/1.5019792
Abstract: Networks of identical oscillators with inertia can display remarkable spatiotemporal patterns in which one or a few oscillators split off from the main synchronized cluster and oscillate with different averaged frequency. Such "solitary states" are… read more here.
Keywords: oscillators inertia; states coupled; coupled oscillators; solitary states ... See more keywords
Topological Spin States in 3D Coupled Electromagnetic Fields.
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DOI: 10.1103/physrevlett.134.013801
Abstract: Topological defects are nonsmooth field configurations with singularities that widely exist in physics and multidisciplinary areas. Here, we introduce near-field polarization evolution and the resulting topological spin states in a system of silicon-based coupled waveguides.… read more here.
Keywords: spin states; topological spin; electromagnetic fields; states coupled ... See more keywords