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Variational Integral and Some Inequalities of a Class of Quasilinear Elliptic System
Advances in Applied Clifford Algebras ( IF 1.1 ) Pub Date : 2020-08-26 , DOI: 10.1007/s00006-020-01089-1 Yueming Lu , Pan Lian
Advances in Applied Clifford Algebras ( IF 1.1 ) Pub Date : 2020-08-26 , DOI: 10.1007/s00006-020-01089-1 Yueming Lu , Pan Lian
This paper is concerned with properties for a class of degenerate elliptic equations in Clifford analysis. Here we obtain a direct proof of the existence and uniqueness for the Dirac equations by the method of variational integral. Also, we get the Poincaré inequalities for the case \(q<1\).
中文翻译:
一类拟线性椭圆系统的变分积分和一些不等式
本文涉及Clifford分析中一类退化椭圆方程的性质。在这里,我们通过变分积分的方法获得了狄拉克方程存在性和唯一性的直接证明。同样,我们得到了情况\(q <1 \)的庞加莱不等式。
更新日期:2020-08-26
中文翻译:
一类拟线性椭圆系统的变分积分和一些不等式
本文涉及Clifford分析中一类退化椭圆方程的性质。在这里,我们通过变分积分的方法获得了狄拉克方程存在性和唯一性的直接证明。同样,我们得到了情况\(q <1 \)的庞加莱不等式。