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

H. El Ouardi, E.N.S.E.M, Maroc

E. J. Qualitative Theory of Diff. Equ., No. 68. (2009), pp. 1-10.

Abstract: 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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