Electron. J. Diff. Eqns., Vol. 2005(2005), No. 97, pp. 1-5.

A subsolution-supersolution method for quasilinear systems

Dimitrios A. Kandilakis, Manolis Magiropoulos

Abstract:
Assuming that a system of quasilinear equations of gradient type admits a strict supersolution and a strict subsolution, we show that it also admits a positive solution.

Submitted April 18, 2005. Published September 4, 2005.
Math Subject Classifications: 35B38, 35D05, 35J50.
Key Words: Quasilinear System; supersolution; subsolution.

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Dimitrios A. Kandilakis
Department of Sciences
Technical University Of Crete
Chania, Crete, 73100 Greece
email: dkan@science.tuc.gr
Manolis Magiropoulos
Science Department
Technological and Educational Institute of Crete
71500 Heraklion, Greece
email: mageir@stef.teiher.gr