Portugaliæ Mathematica   EMIS ELibM Electronic Journals PORTUGALIAE
Vol. 53, No. 2, pp. 239-252 (1996)

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Quasilinear Elliptic Problems with Nonmonotone Discontinuities and Measure Data

Jin Liang and José Francisco Rodrigues

Dept. of Mathematics & Statistics, University of Edinburgh,
Edinburgh EH9 3JZ - UNITED KINGDOM CMAF-FCUL, University of Lisbon,
Av. Prof. Gama Pinto, 2, 1699 Lisboa-Codex - PORTUGAL

Abstract: We prove the existence of weak solutions to the mixed boundary value problem for a quasilinear elliptic second order equation involving nonmonotone discontinuous terms and with measure data in the equation and in the Neumann boundary condition.

Keywords: Quasilinear elliptic second order equations; nonmomonotone discontinuous nonlinearities; measure data; free boundary problems.

Classification (MSC2000): 35D05, 35J65; 35J85, 35R35

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Electronic version published on: 29 Mar 2001. This page was last modified: 27 Nov 2007.

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