A strongly degenerate quasilinear elliptic equation
✍ Scribed by F. Andreu; V. Caselles; J.M. Mazón
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 349 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0362-546X
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📜 SIMILAR VOLUMES
In connection with the generalized \(p\)-harmonic operator (1-2), we shall treat two topics in the present paper. Namely, the one is concerned with removable singularities of solutions for (1-3) and the other is the unique existence property of bounded solutions.
This paper deals with a class of degenerate quasilinear elliptic equations of the form -div(a(x, u, ∇u) = gdiv(f ), where a(x, u, ∇u) is allowed to be degenerate with the unknown u. We prove existence of bounded solutions under some hypothesis on f and g. Moreover we prove that there exists a renor