A Minimization Problem and a Duality Result Related to a Drifting Laplacian Equation

IF 0.9 4区数学 Q3 MATHEMATICS, APPLIED

Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-10-06 DOI:10.1007/s10255-025-0018-5

Morteza Pol, Mohsen Zivari-Rezapour

引用次数: 0

Abstract

In this paper, we consider a Dirichlet-Laplacian with a drift problem. We prove existence of weak solutions of it on the Nehari manifold. Then, we show that the associated energy functional has a minimizer on a rearrangement class generated by a determined function. Finally, we prove a duality theorem for this boundary value problem.

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一类漂移拉普拉斯方程的最小化问题及对偶结果

在本文中，我们考虑一个带有漂移问题的Dirichlet-Laplacian。在Nehari流形上证明了它的弱解的存在性。然后，我们证明了关联能量泛函在由确定函数生成的重排类上具有最小值。最后，我们证明了该边值问题的对偶定理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Acta Mathematicae Applicatae Sinica, English Series 数学-应用数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

3.0 months

期刊介绍： Acta Mathematicae Applicatae Sinica (English Series) is a quarterly journal established by the Chinese Mathematical Society. The journal publishes high quality research papers from all branches of applied mathematics, and particularly welcomes those from partial differential equations, computational mathematics, applied probability, mathematical finance, statistics, dynamical systems, optimization and management science.