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

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...

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Bibliographic Details
Date:	2005
Main Authors:	Pavlenko, V. N., Chizh, E. A., Павленко, В. Н., Чиж, Е. А.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2005
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3577
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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