Entropy solution for an equation with measure-valued potential in a hyperbolic space

被引：2
|
作者：
Vil'danova, V. F. [1 ]
Mukminov, F. Kh. [2 ]
机构：
[1] Russian Acad Sci, Ufa Fed Res Ctr, Inst Math Comp Ctr, Ufa, Russia
[2] Bashkir State Pedag Univ, Ufa, Russia
来源：
SBORNIK MATHEMATICS | 2023年 / 214卷 / 11期
关键词：
nonlinear elliptic equation; entropy solution; hyperbolic space; Musielak-Orlicz space; NONLINEAR ELLIPTIC-EQUATIONS;
D O I：
10.4213/sm9875e
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the Dirichlet problem in the hyperbolic space for a nonlinear elliptic equation of the second order with singular measure-valued potential. The assumptions on the structure of the equation are stated in terms of a generalized N-function. It is shown that this problem has an entropy solution.
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页码：1534 / 1559
页数：26
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