Principle of additivity in averaging of degenerate nonlinear Dirichlet problems

• Дата: 1998
• Автори: Larin, D. V., Skrypnik, I. V., Ларин, Д. В., Скрыпник, И. В.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 1998
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/4977
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We study the problem of averaging of Dirichlet problems for degenerate nonlinear elliptic equations of the second order in domains with fine-grained boundary under the condition that the weight function belongs to a certain Muckenhoupt class. We prove a pointwise estimate for solutions of the model...