"This book is devoted to the study of elliptic second-order degenerate quasilinear equations, the model of which is the p-Laplacian, with or without dominant lower order reaction term. Emphasis is put on three aspects: The existence of separable singular solutions enables the de…
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…
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…
Geometric properties for parabolic and elliptic PDE's: GPPEPDEs, Palinuro, Italy, May 2015
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…
Quasilinear elliptic equations Quasilinear parabolic equations.
This paper is devoted to the functional analytic approach to the problem of construction of Feller semigroups with Ventcel' (Wentzell) boundary conditions. This paper considers the non-transversal case and solves from the viewpoint of functional analysis the problem of construct…
