特殊拉格朗日型方程在超临界相位下的内部梯度估计

THE INTERIOR GRADIENT ESTIMATES OF SPECIAL LAGRANGIAN TYPE EQUATIONS WITH SUPERCRITICAL PHASE

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摘要本文研究了在超临界相位下的特殊拉格朗日型方程arctan{∆uIn−D^(2)u}=Θ(x),并建立了与特殊拉格朗日型方程相关的解的内部梯度估计. In this paper,we study the special Lagrangian type equations arctan{∆uI−D^(2)u}=Θ(x)with supercritical phase,and establish the corresponding interior gradient estimates of solutions for the special Lagrangian type equations.

作者李佳慧 LI Jia-hui(School of Mathematics and Statistics,Ningbo University,Ningbo 315211,China)

机构地区宁波大学数学与统计学院

出处《数学杂志》 2024年第2期107-112,共6页 Journal of Mathematics

关键词内部梯度估计特殊拉格朗日型方程超临界相位 the interior gradient estimates special Lagrangian type equations supercritical phase

分类号 O175.25 [理学—基础数学]