In the present paper we prove a multiplicity theorem for a quasi- linear elliptic problem with dependence on the gradient. Our approach is based on sub-supersolution techniques, extremal solutions for an auxiliary paramet- ric problem and Schaefer’s fixed point theorem. In our result we require a general growth condition with respect to the solution and its gradient.

Positive solutions of quasi-linear elliptic equations with dependence on the gradient

FARACI, FRANCESCA;PUGLISI, DANIELE
2015-01-01

Abstract

In the present paper we prove a multiplicity theorem for a quasi- linear elliptic problem with dependence on the gradient. Our approach is based on sub-supersolution techniques, extremal solutions for an auxiliary paramet- ric problem and Schaefer’s fixed point theorem. In our result we require a general growth condition with respect to the solution and its gradient.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/55316
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