This paper is devoted to the study of the following degenerate Neumann problem for a quasilinear elliptic integro-differential operator Here W is a second-order elliptic integro-differential operator of Waldenfels type and Lu=a(x)∂u∂ν+b(x)u is a first-order Ventcel' operator with a(x) and b(x) being non-negative smooth functions on Γ such that a(x)+b(x)>0 on Γ. Classical existence and uniqueness results in the framework of Hölder spaces are derived under suitable regularity and structure conditions on the nonlinear term f(x,u,Du).
|Titolo:||A degenerate Neumann problem for quasilinear elliptic integro-differential operators|
|Data di pubblicazione:||1999|
|Digital Object Identifier (DOI):||10.1007/PL00004712|
|Appare nelle tipologie:||1.1 Articolo in rivista|