A priori estimates for solutions to homogeneous Neumann problems for uniformly elliptic equa- tions in open subsets \Omega of IR^n are established when the datum on right-hand side is in the limiting space L^{n/2}(\Omega), 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.
Optimal bounds for solutions to Neumann problems in limiting cases
Alberico A;
2005
Abstract
A priori estimates for solutions to homogeneous Neumann problems for uniformly elliptic equa- tions in open subsets \Omega of IR^n are established when the datum on right-hand side is in the limiting space L^{n/2}(\Omega), 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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