Maximum estimates for oblique derivative problems with right hand side in \(L^p\), \(p<n\) (Q1434242)

In the paper under consideration some estimates for solutions of oblique derivative problems are proved. More precisely, \(Lu= f\) in \(\Omega\), \(Mu= g\) on \(\partial\Omega\) and \(M\) is the oblique derivative operator, \(L\) is second-order elliptic operator, \(\Omega\) is a suitable Lipschitz domain in \(\mathbb{R}^n\). Then \(\max_\Omega u\) is estimated in terms of \(L_p\) norm of \(u\), \(p< n\), the maximum norm of \(Mu\) and some weak information on the coefficients of \(L\) and \(M\).