Geodesic
Entropy solution for an equation with measure-valued potential in a~hyperbolic space
Sbornik. Mathematics, Tome 214 (2023) no. 11, pp. 1534-1559

Voir la notice de l'article provenant de la source Math-Net.Ru

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. Bibliography: 16 titles.
Keywords: nonlinear elliptic equation, entropy solution, hyperbolic space, Musielak-Orlicz space. 
@article{SM_2023_214_11_a1,
     author = {V. F. Vil'danova and F. Kh. Mukminov},
     title = {Entropy solution for an equation with measure-valued potential in a~hyperbolic space},
     journal = {Sbornik. Mathematics},
     pages = {1534--1559},
     publisher = {mathdoc},
     volume = {214},
     number = {11},
     year = {2023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2023_214_11_a1/}
}
TY  - JOUR
AU  - V. F. Vil'danova
AU  - F. Kh. Mukminov
TI  - Entropy solution for an equation with measure-valued potential in a~hyperbolic space
JO  - Sbornik. Mathematics
PY  - 2023
SP  - 1534
EP  - 1559
VL  - 214
IS  - 11
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_2023_214_11_a1/
LA  - en
ID  - SM_2023_214_11_a1
ER  - 
%0 Journal Article
%A V. F. Vil'danova
%A F. Kh. Mukminov
%T Entropy solution for an equation with measure-valued potential in a~hyperbolic space
%J Sbornik. Mathematics
%D 2023
%P 1534-1559
%V 214
%N 11
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_2023_214_11_a1/
%G en
%F SM_2023_214_11_a1
V. F. Vil'danova; F. Kh. Mukminov. Entropy solution for an equation with measure-valued potential in a~hyperbolic space. Sbornik. Mathematics, Tome 214 (2023) no. 11, pp. 1534-1559. http://geodesic.mathdoc.fr/item/SM_2023_214_11_a1/