Pseudo-monotonicity and degenerated or singular elliptic operators. (English) Zbl 0913.35051
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:
| 35J70 | Degenerate elliptic equations |
| 47J25 | Iterative procedures involving nonlinear operators |
| 35J60 | Nonlinear elliptic equations |
References:
| [1] | Opic, Hardy-type inequalities 219 (1990) |
| [2] | Drábek, Quasilinear elliptic equations with degenerations and singularities 5 (1997) · Zbl 0894.35002 · doi:10.1515/9783110804775 |
| [3] | Gossez, Differential Integral Equations 6 pp 37– (1993) |
| [4] | Mustonen, Theory and applications of nonlinear operators of acretive and monotone type 178 pp 215– (1996) |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
