Additive Eigenvalue Problems of the Laplace Operator with the Prescribed Contact Angle Boundary Condition

Additive Eigenvalue Problems of the Laplace Operator with the Prescribed Contact Angle Boundary Condition

Additive eigenvalue problem appears in ergodic optimal control or the homogenization of Hamilton–Jacobi equations. It has wide applications in several fields including computer science and then attracts the attention. In this paper, we consider the Poisson equations with the prescribed contact angle...

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Main Authors: Hongmei Li, Peihe Wang
Format: Article
Language:English
Published: Hindawi-Wiley 2020-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2020/8675128
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spelling doaj-c2e337b6c5e14263aff39409bb9d06b32020-11-25T02:10:05ZengHindawi-WileyComplexity1076-27871099-05262020-01-01202010.1155/2020/86751288675128Additive Eigenvalue Problems of the Laplace Operator with the Prescribed Contact Angle Boundary ConditionHongmei Li0Peihe Wang1School of Math. Sci., Qufu Normal University, 273165 Qufu, Shandong, ChinaSchool of Math. Sci., Qufu Normal University, 273165 Qufu, Shandong, ChinaAdditive eigenvalue problem appears in ergodic optimal control or the homogenization of Hamilton–Jacobi equations. It has wide applications in several fields including computer science and then attracts the attention. In this paper, we consider the Poisson equations with the prescribed contact angle boundary condition and finally derive the existence and the uniqueness of the solution to the additive problem of the Laplace operator with the prescribed contact angle boundary condition.http://dx.doi.org/10.1155/2020/8675128
collection DOAJ
language English
format Article
sources DOAJ
author Hongmei Li
Peihe Wang
spellingShingle Hongmei Li
Peihe Wang
Additive Eigenvalue Problems of the Laplace Operator with the Prescribed Contact Angle Boundary Condition
Complexity
author_facet Hongmei Li
Peihe Wang
author_sort Hongmei Li
title Additive Eigenvalue Problems of the Laplace Operator with the Prescribed Contact Angle Boundary Condition
title_short Additive Eigenvalue Problems of the Laplace Operator with the Prescribed Contact Angle Boundary Condition
title_full Additive Eigenvalue Problems of the Laplace Operator with the Prescribed Contact Angle Boundary Condition
title_fullStr Additive Eigenvalue Problems of the Laplace Operator with the Prescribed Contact Angle Boundary Condition
title_full_unstemmed Additive Eigenvalue Problems of the Laplace Operator with the Prescribed Contact Angle Boundary Condition
title_sort additive eigenvalue problems of the laplace operator with the prescribed contact angle boundary condition
publisher Hindawi-Wiley
series Complexity
issn 1076-2787
1099-0526
publishDate 2020-01-01
description Additive eigenvalue problem appears in ergodic optimal control or the homogenization of Hamilton–Jacobi equations. It has wide applications in several fields including computer science and then attracts the attention. In this paper, we consider the Poisson equations with the prescribed contact angle boundary condition and finally derive the existence and the uniqueness of the solution to the additive problem of the Laplace operator with the prescribed contact angle boundary condition.
url http://dx.doi.org/10.1155/2020/8675128
work_keys_str_mv AT hongmeili additiveeigenvalueproblemsofthelaplaceoperatorwiththeprescribedcontactangleboundarycondition
AT peihewang additiveeigenvalueproblemsofthelaplaceoperatorwiththeprescribedcontactangleboundarycondition
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