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).
1999
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]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11589/7832
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