Smoothness of generalized solutions for higher-order elliptic equations with nonlocal boundary conditions
arXiv:1406.6195 · doi:10.1016/j.jde.2008.06.001
Abstract
Smoothness of generalized solutions for higher-order elliptic equations with nonlocal boundary conditions is studied in plane domains. Necessary and sufficient conditions upon the right-hand side of the problem and nonlocal operators under which the generalized solutions possess an appropriate smoothness are established.
25 pages, 2 figures. arXiv admin note: substantial text overlap with arXiv:1404.5162