Elliptic 1-Laplacian equations with dynamical boundary conditions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:464

Article

Latorre, Marta¹  de Leon, Sergio Segura¹ 

[1] Univ Valencia, Dept Anal Matemat, Dr Moliner 50, E-46100 Burjassot, Spain

关键词: Nonlinear elliptic equations;    Dynamical boundary conditions;    1-Laplacian operator;   

DOI  :  10.1016/j.jmaa.2018.02.006

来源: Elsevier

【 摘 要 】

This paper is concerned with an evolution problem having an elliptic equation involving the 1-Laplacian operator and a dynamical boundary condition. We apply nonlinear sernigroup theory to obtain existence and uniqueness results as well as a comparison principle. Our main theorem shows that the solution we found is actually a strong solution. We also compare solutions with different data. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free