Uniqueness of the Entropy Solution of the Dirichlet Problem foran Elliptic Equation with a Measure-Valued Potential in a Hyperbolic Space

We consider the Dirichlet problem in the hyperbolic space for a nonlinear second-order equation with a 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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Publication Details

Journal
Differential Equations
Published
2024-12-01
DOI
https://doi.org/10.1134/s0012266124120061
Primary Topic
Differential Equations and Boundary Problems
Type
article
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0.00
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article

Uniqueness of the Entropy Solution of the Dirichlet Problem foran Elliptic Equation with a Measure-Valued Potential in a Hyperbolic Space

Венера Фидарисовна Вильданова
Differential Equations
Differential Equations and Boundary Problems
article

Uniqueness of the Entropy Solution of the Dirichlet Problem foran 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 second-order equation with a 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.

Differential EquationsVol. 60(12)
Institute of Mathematics with Computer Center (RU)
Openalex Percentile: Top 55%
Differential Equations and Boundary Problems
DOISourceOpenAlex
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Uniqueness of the Entropy Solution of the Dirichlet Problem foran Elliptic Equation with a Measure-Valued Potential in a Hyperbolic Space — Венера Фидарисовна Вильданова · Differential Equations (2024) | TGRS Research Map | TGRS