Existence Theorem for One Class of Strongly Resonance Boundary-Value Problems of Elliptic Type with Discontinuous Nonlinearities

• Дата: 2005
• Автори: Pavlenko, V. N., Chizh, E. A., Павленко, В. Н., Чиж, Е. А.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2005
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/3577
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We consider the Dirichlet problem for an equation of the elliptic type with a nonlinearity discontinuous with respect to the phase variable in the resonance case; it is not required that the nonlinearity satisfy the Landesman-Lazer condition. Using the regularization of the original equation, we est...