Existence of solution for some quasilinear parabolic systems with weight and weak monotonicity

• Autores: Azroul Elhoussine, Barbara Abdelkrim, Rami El Houcine
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 39, Nº. 3, 2020, págs. 529-557
• Idioma: inglés
• DOI: 10.22199/issn.0717-6279-2020-03-0033
• Enlaces
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• Resumen

  • We prove the existence of weak solution u for the nonlinear parabolic systems:

    which is a Dirichlet Problem. In this system, v belongs to , f and g satisfy some standards continuity and growth conditions. We prove existence of a weak solution of different variants of this system under classical regularity for some growth and coercivity for ? but with only very mild monotonicity assumptions.

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