In the present paper we study the problem of finding classical and weak solutions for a semilinear elliptic equation involving a singular term and a nonlinearity depending on the gradient. The approach we follow, based on a suitable combination of sub–supersolutions techniques and fixed point theory, is not quite the same in the two cases and requires different kind of assumptions.

On a singular semilinear problem with dependence on the gradient

FARACI, FRANCESCA;PUGLISI, DANIELE
2016-01-01

Abstract

In the present paper we study the problem of finding classical and weak solutions for a semilinear elliptic equation involving a singular term and a nonlinearity depending on the gradient. The approach we follow, based on a suitable combination of sub–supersolutions techniques and fixed point theory, is not quite the same in the two cases and requires different kind of assumptions.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/18531
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