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Zbl 0913.35051
Drábek, P.; Kufner, A.; Mustonen, V.
Pseudo-monotonicity and degenerated or singular elliptic operators. (English)
[J] Bull. Aust. Math. Soc. 58, No.2, 213-221 (1998). ISSN 0004-9727

Summary: 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 results extends analogous assertions for elliptic operators.
MSC 2000:
*35J70 Elliptic equations of degenerate type
47J25 Methods for solving nonlinear operator equations (general)
35J60 Nonlinear elliptic equations

Keywords: weighted Sobolev spaces; Hardy-type inequality

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