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arXiv · 1212.5773

Global boundedness of the gradient for a class of nonlinear elliptic systems

Andrea Cianchi·Vladimir Maz'ya
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Abstract

Gradient boundedness up to the boundary for solutions to Dirichlet and Neumann problems for elliptic systems with Uhlenbeck type structure is established. Nonlinearities of possibly non-polynomial type are allowed, and minimal regularity on the data and on the boundary of the domain is assumed. The case of arbitrary bounded convex domains is also included.

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Andrea Cianchi, Vladimir Maz'ya. 2012-12-23. Global boundedness of the gradient for a class of nonlinear elliptic systems. https://arxiv.org/abs/1212.5773

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