Pseudo-monotonicity and degenerated or singular elliptic operators

P. Drábek; A. Kufner; V. Mustonen

doi:10.1017/S0004972700032184

Abstract

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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.

References

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Pseudo-monotonicity and degenerated or singular elliptic operators

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