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Global Boundedness of the Gradient for a Class of Nonlinear Elliptic Systems |
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| Authors: | Andrea Cianchi Vladimir G. Maz’ya |
| Affiliation: | 1. Dipartimento di Matematica e Informatica U.Dini, Università di Firenze, Piazza Ghiberti 27, 50122, Firenze, Italy 2. Department of Mathematics, Link?ping University, 58183, Link?ping, Sweden 3. Department of Mathematical Sciences, University of Liverpool, Liverpool, L69 7ZL, UK |
| 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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