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.

引用

页码：1534 / 1559

页数：26

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