A priori estimates for solutions to homogeneous Neumann problems for uniformly elliptic equations in open subsets of R^n are established, with data in the limiting space L^{n\2} or, more generally, in the Lorentz spaces L^{n\2, q}(\Omega). These estimates are optimal as far as either constants or norms are concerned.
Bordeline sharp estimates for solutions to nonlinear elliptic problems
Alberico A;
2007
Abstract
A priori estimates for solutions to homogeneous Neumann problems for uniformly elliptic equations in open subsets of R^n are established, with data in the limiting space L^{n\2} or, more generally, in the Lorentz spaces L^{n\2, q}(\Omega). These estimates are optimal as far as either constants or norms are concerned.File in questo prodotto:
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