These lecture notes provide a self-contained introduction to regularity theory for elliptic equations and systems in divergence form. After a short review of some classical results on everywhere regularity for scalar-valued weak solutions, the presentation focuses on vector-valu…
by Gazzola, Filippo, Ishige, Kazuhiro, Nitsch, Carlo, Salani, Paolo, Italian-Japanese Workshop on Geometric Properties for Parabolic and Elliptic PDE's, Palinuro, Italie)
fromSpringer proceedings in mathematics & statistics (En ligne)
This book collects recent research papers by respected specialists in the field. It presents advances in the field of geometric properties for parabolic and elliptic partial differential equations, an area that has always attracted great attention. It settles the basic issues (e…
We develop and additive, integer-valued degree theory for the class of quasilinear Fredholm mappings. This class is sufficiently large so that within its framework one can study fully nonlinear elliptic boundary value problems. In contrast to the Leary-Schauder degree, which is …
