Pseudo-monotonicity and degenerated or singular elliptic operators
Authors:
- 1 October 1998
- journal article
- research article
- Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society
- Vol. 58 (2) , 213-221
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.Keywords
This publication has 2 references indexed in Scilit:
- Quasilinear Elliptic Equations with Degenerations and Singularities1997
- Pseudo-monotonicity and the Leray-Lions conditionDifferential and Integral Equations, 1993