Renormalized Solutions for Nonlinear Parabolic Systems in the Lebesgue{Sobolev Spaces with Variable Exponents

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2018
• Main Authors: El Hamdaoui, B., Bennouna, J., Aberqi, A.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/145857
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Renormalized Solutions for Nonlinear Parabolic Systems in the Lebesgue{Sobolev Spaces with Variable Exponents / B. El Hamdaoui, J. Bennouna, A. Aberqi // Журнал математической физики, анализа, геометрии. — 2018. — Т. 14, № 1. — С. 27-53. — Бібліогр.: 29 назв. — англ.

The existence result of renormalized solutions for a class of nonlinear parabolic systems with variable exponents. The main contribution of our work is the proof of the existence of renormalized solutions without the coercivity condition on nonlinearities which allows us to use the Gagliardo–Nirenbe...