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On Connection between Solutions in Different Weighted Spaces to One Singular Elliptic Boundary Value Problem
Siberian Mathematical Journal ( IF 0.7 ) Pub Date : 2020-03-01 , DOI: 10.1134/s0037446620020111
A. A. Larin

We study the properties of solutions in special weighted spaces to a nonhomogeneous boundary value problem in a planar angle for a singular elliptic equation of the second order with the differential Bessel operator ∂ 2 / ∂y 2 + k ∂ /( y ∂ y ), k > 0, one of the variables. Under some constraints on the weight exponents, the boundary value problem is correctly solvable. We establish a relation connecting the solutions of the problem belonging to the function spaces with different weights.

中文翻译:

一个奇异椭圆边值问题的不同加权空间解的联系

我们使用微分贝塞尔算子 ∂ 2 / ∂y 2 + k ∂ /( y ∂ y )研究了二阶奇异椭圆方程的平面角非齐次边值问题在特殊加权空间中的解的性质, k > 0,变量之一。在权重指数的一些约束下,边值问题是正确可解的。我们建立连接属于不同权重的函数空间的问题的解决方案的关系。
更新日期:2020-03-01
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