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Showing 2012 · math.APShow all
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math.AP2012
Global boundedness of the gradient for a class of nonlinear elliptic systems
Andrea Cianchi, Vladimir Maz'ya
Gradient boundedness up to the boundary for solutions to Dirichlet and Neumann problems for elliptic systems with Uhlenbeck type structure is established. Nonlinearities of possibl…
math.AP2012
Regularity of solutions to the polyharmonic equation in general domains
Svitlana Mayboroda, Vladimir Maz'ya
The present paper establishes boundedness of derivatives for the solutions to the polyharmonic equation of order in arbitrary bounded open sets of $\RR…