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).
A degenerate Neumann problem for quasilinear elliptic integro-differential operators / Palagachev, D. K.; Popivanov, P. R.; Taira, K.. - In: MATHEMATISCHE ZEITSCHRIFT. - ISSN 0025-5874. - STAMPA. - 230:4(1999), pp. 679-694. [10.1007/PL00004712]
A degenerate Neumann problem for quasilinear elliptic integro-differential operators
D. K. Palagachev;
1999-01-01
Abstract
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).I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
