A degenerate Neumann problem for quasilinear elliptic integro-differential operators |
| |
| Authors: | DK Palagachev PR Popivanov and K Taira |
| |
| Institution: | (1) Politecnico di Bari, Dipartimento di Matematica, Via E. Orabona 4, I-70125 Bari, Italy (e-mail: dian@pascal.dm.uniba.it) , IT;(2) Institute of Mathematics, Bulgarian Academy of Sciences, “G. Bonchev” Str., Bl. 8, 1113 Sofia, Bulgaria (e-mail: popivano@bgearn.acad.bg) , BG;(3) Department of Mathematics, Hiroshima University, Higashi-Hiroshima 739-8526, Japan (e-mail: taira@math.sci.hiroshima-u.ac.jp) , JP |
| |
| Abstract: | This paper is devoted to the study of the following degenerate Neumann problem for a quasilinear elliptic integro-differential
operator Here is a second-order elliptic integro-differential operator of Waldenfels type and is a first-order Ventcel' operator with a(x) and b(x) being non-negative smooth functions on such that on . Classical existence and uniqueness results in the framework of H?lder spaces are derived under suitable regularity and structure
conditions on the nonlinear term f(x,u,Du).
Received April 22, 1997; in final form March 16, 1998 |
| |
| Keywords: | Mathematics Subject Classification (1991): 35J65 35R25 |
| 本文献已被 SpringerLink 等数据库收录！ |
|
