UNIQUENESS OF THE ENTROPY SOLUTION TO THE DIRICHLET PROBLEM FOR AN ELLIPTIC EQUATION WITH A MEASURE-VALUED POTENTIAL IN A HYPERBOLIC SPACE

We consider the Dirichlet problem in the hyperbolic space for a nonlinear equation of the second order with measure-valued potential. The assumptions on the structure of the equation are stated in terms of a generalized 𝑁-function. The uniqueness of the entropy solution of the problem is proved.

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Journal
Дифференциальные уравнения
Published
2024-12-15
DOI
https://doi.org/10.31857/s0374064124120062
Primary Topic
advanced mathematical theories
Type
article
Field-Weighted Citation Impact
0.00

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article

UNIQUENESS OF THE ENTROPY SOLUTION TO THE DIRICHLET PROBLEM FOR AN ELLIPTIC EQUATION WITH A MEASURE-VALUED POTENTIAL IN A HYPERBOLIC SPACE

Венера Фидарисовна Вильданова
Дифференциальные уравнения
advanced mathematical theories
article

UNIQUENESS OF THE ENTROPY SOLUTION TO THE DIRICHLET PROBLEM FOR AN ELLIPTIC EQUATION WITH A MEASURE-VALUED POTENTIAL IN A HYPERBOLIC SPACE

Венера Фидарисовна Вильданова
article en

Abstract

We consider the Dirichlet problem in the hyperbolic space for a nonlinear equation of the second order with measure-valued potential. The assumptions on the structure of the equation are stated in terms of a generalized 𝑁-function. The uniqueness of the entropy solution of the problem is proved.

Дифференциальные уравненияVol. 60(12)
Institute of Mathematics with Computer Center (RU)
Ministry of Science and Higher Education of the Russian Federation
Openalex Percentile: Top 59%
advanced mathematical theories
DOIOpen Access PDFOpenAlex
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UNIQUENESS OF THE ENTROPY SOLUTION TO THE DIRICHLET PROBLEM FOR AN ELLIPTIC EQUATION WITH A MEASURE-VALUED POTENTIAL IN A HYPERBOLIC SPACE — Венера Фидарисовна Вильданова · Дифференциальные уравнения (2024) | TGRS Research Map | TGRS