ON EXISTENCE OF BOUNDED FEASIBLE SOLUTIONS TO NEUMANN BOUNDARY CONTROL PROBLEM FOR p-LAPLACE EQUATION WITH EXPONENTIAL TYPE OF NONLINEARITY

We study an optimal control problem for mixed Dirichlet-Neumann boundary value problem for the strongly non-linear elliptic equation with p-Laplace operator and L1-nonlinearity in its right-hand side. A distribution u acting on a part of boundary of open domain is taken as a boundary control. The op...

Full description

Bibliographic Details
Main Authors: Peter I. Kogut, Rosanna Manzo, Mykola V. Poliakov
Format: Article
Language:English
Published: Oles Honchar Dnipro National University 2018-05-01
Series:Journal of Optimization, Differential Equations and Their Applications
Subjects:
Online Access:https://model-dnu.dp.ua/index.php/SM/article/view/123