A priori estimates in L${}^{\infty }$ for non-diagonal perturbed quasilinear systems

Krömer, Stefan

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 8 (2009) no. 3, pp. 417-428.

We present a way to derive a priori estimates in $L^{\infty }$ for a class of quasilinear systems containing examples with a leading part which is neither diagonal nor of Uhlenbeck type. Moreover, a perturbation term with natural growth in first order derivatives is allowed.

Classification : 35B45, 35J45

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