On normal solvability of a Dirichlet's type problem for improperly elliptic equation third order - Armenian Journal of Mathematics

Hayrapetyan H.; Meliksetyan P.

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On normal solvability of a Dirichlet's type problem for improperly elliptic equation third order - Armenian Journal of Mathematics

机译：椭圆方程三阶Dirichlet型问题的常可解性-亚美尼亚数学杂志

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We consider Dirichlet type problem in upper half-plane for improperly elliptic equation $u_{zar{z}^2}=0$, with boundary functions from the class $L^1( ho)$ $( ho=(1+|x|)^{-alpha}, alphageq0)$. The solutions of the problem are obtained in explicit form.

机译：我们考虑椭圆函数$ u_ {zar {z} ^ 2} = 0 $的上半平面的Dirichlet型问题，其中边界函数来自类$ L ^ 1（ho）$ $（ho =（1+ | x |）^ {-alpha，alphageq0）$。该问题的解决方案以显式形式获得。

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《Armenian journal of mathematics》 |2009年第1期|共页
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Hayrapetyan H.; Meliksetyan P.;
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1. On normal solvability of a Dirichlet-type problem for a third-order improperly elliptic equation [J] . Hayrapetyan H.M., Meliksetyan P.E. Complex variables and elliptic equations . 2012,第5a6期

机译：关于三阶不正确椭圆方程Dirichlet型问题的正解
2. On normal solvability of a Dirichlet-type problem for a third-order improperly elliptic equation [J] . H.M. Hayrapetyan P.E. Meliksetyan Complex Variables and Elliptic Equations: An International Journal . 2012,第5期

机译：三阶不正确椭圆方程Dirichlet型问题的正解
3. Journal of Mathematical Sciences, Vol. 178, No. 6, November, 2011 ON THE CLASSICAL SOLVABILITY OF THE DIRICHLET PROBLEM FOR NONDEGENERATE m-HESSIAN EQUATIONS [J] . N. V. Filimonenkova Journal of Mathematical Sciences . 2011,第6期

机译：数学科学学报，第178，第6号，2011年11月，关于非广义m-Hessian方程的Dirichlet问题的经典可解性
4. ON UNIQUE SOLVABILITY OF THE DIRICHLET PROBLEM FOR ONE CLASS OF PROPERLY ELLIPTIC EQUATIONS [C] . A. O. Babayan NATO Advanced Research Workshop Topics in Analysis and Its Applications . 2004

机译：对一类适当椭圆方程的Dirichlet问题的独特可解性
5. The Dirichlet Problem for Elliptic and Degenerate Elliptic Equations, and Related Results [D] . Le, Phi Long. 2016

机译：椭圆形和简并椭圆方程的Dirichlet问题及相关结果
6. The Dirichlet and Vibration Problems for Linear Elliptic Differential Equations of Arbitrary Order [O] . Felix E. Browder 1952

机译：任意级线性椭圆型微分方程的狄利克雷和振动问题
7. The Criterion of Unique Solvability of the Dirichlet Spectral Problem in the Cylindrical Domain for a Class of Multi-Dimensional Hyperbolic-Elliptic Equations [O] . Serik Aldashev 2018

机译：一类多维双曲 - 椭圆方程的圆柱形域的Dirichlet光谱问题独特可解性的标准
8. On a Normal Form for Second Order Elliptic Equations and Constructive Methods for Dirichlet's Problem. [R] . Gilbert, R. P., Hsiao, G. C. 1974

机译：关于二阶椭圆方程的正规形式及Dirichlet问题的构造方法。

On normal solvability of a Dirichlet's type problem for improperly elliptic equation third order - Armenian Journal of Mathematics

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