Periodic solutions of p-Laplacian systems with a nonlinear convection term

Autor: Hamid El Ouardi
Jazyk: angličtina
Rok vydání: 2009
Předmět:
Zdroj: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2009, Iss 68, Pp 1-10 (2009)
Druh dokumentu: article
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2009.1.68
Popis: In this work, we study the existence of periodic solutions for the evolution of p-Laplacian system and we show that these periodic solutions belong to $L^{\infty}(\omega, W^{1,\infty}(\Omega))$ and give a bound of $\left \Vert \nabla u_{i}(t)\right \Vert_{\infty}$ under certain geometric conditions on $\partial \Omega$.
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