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本文研究在有界域和无界域上含Hardy-Leray势的分数阶p-Laplacian方程,运用移动平面法,得到该方程正解的单调性和对称性,并将带Hardy-Leray势的分数阶方程解的对称性结果推广到更一般的分数阶p-Laplacian方程. 相似文献
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Thomas SA Uhoya WO Tsoi GM Wenger LE Vohra YK Chesnut GN Weir ST Tulk CA dos Santos AM 《J Phys Condens Matter》2012,24(21):216003
Neutron diffraction and electrical transport measurements have been made on the heavy rare earth metal holmium at high pressures and low temperatures in order to elucidate its transition from a paramagnetic (PM) to a helical antiferromagnetic (AFM) ordered phase as a function of pressure. The electrical resistance measurements show a change in the resistance slope as the temperature is lowered through the antiferromagnetic Néel temperature. The temperature of this antiferromagnetic transition decreases from approximately 122 K at ambient pressure at a rate of -4.9 K GPa(-1) up to a pressure of 9 GPa, whereupon the PM-to-AFM transition vanishes for higher pressures. Neutron diffraction measurements as a function of pressure at 89 and 110 K confirm the incommensurate nature of the phase transition associated with the antiferromagnetic ordering of the magnetic moments in a helical arrangement and that the ordering occurs at similar pressures as determined from the resistance results for these temperatures. 相似文献