Pseudo-monotonicity and degenerated or singular elliptic operators

Publisher: Cambridge University Press

E-ISSN: 1755-1633|58|2|213-221

ISSN: 0004-9727

Source: Bulletin of the Australian Mathematical Society, Vol.58, Iss.2, 1998-10, pp. : 213-221

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Abstract

Using the compactness of an imbedding for weighted Sobolev spaces (that is, a Hardy-type inequality), it is shown how the assumption of monotonicity can be weakened still guaranteeing the pseudo-monotonicity of certain nonlinear degenerated or singular elliptic differential operators. The result extends analogous assertions for elliptic operators.