This paper is devoted to the study of properties of a class of solutions (u, psi(u)) is an element ofW(2,p)(1,q)(Omega, v, mu) x L-q(Omega) of functional-differential system of fourth order. By using suitable test functions, it is possible to organize Moser's method to prove boundedness and Holder continuity of solutions u(x) of the differential part of the system and then using a "lipschitz" property, it obtains the same results for psi(u)(x). (C) 2002 Elsevier Science Ltd. All rights reserved.

Boundedness and regularity for a class of solutions of a functional-differential system

D'ASERO, Salvatore
2003

Abstract

This paper is devoted to the study of properties of a class of solutions (u, psi(u)) is an element ofW(2,p)(1,q)(Omega, v, mu) x L-q(Omega) of functional-differential system of fourth order. By using suitable test functions, it is possible to organize Moser's method to prove boundedness and Holder continuity of solutions u(x) of the differential part of the system and then using a "lipschitz" property, it obtains the same results for psi(u)(x). (C) 2002 Elsevier Science Ltd. All rights reserved.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11769/11491
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