Existence results for some quasilinear parabolic problems |
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Authors: | Nathalie Grenon |
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Institution: | (1) Département de Mathématiques et d'Informatique, Université d'Orléans, U.F.R. Sciences, rue de Chartres, 45067 Orléans Cedex 02 |
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Abstract: | We first give an existence theorem, for some equations associated with Leray-Lions operators, assuming the existence of a subsolution smaller than a supersolution. Then we prove, with an additional hypothesis on the operator, that in the previous theorem, we can replace the subsolution by two subsolutions and the supersolution by two supersolutions. Finally, we deduce the existence of a smallest and a greatest solution. |
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