The method of generalized quasilinearization is extended to semilinear elliptic problems employing both the classical and variational approaches. The results discussed are very general and include several special cases of interest.
Comparison results between linear and quasilinear elliptic boundary value problems
โ Scribed by Bernhard Kawohl
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 353 KB
- Volume
- 142
- Category
- Article
- ISSN
- 0022-247X
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๐ SIMILAR VOLUMES
We are concerned with quasilinear partial differential equations of elliptic type which are degenerate; in particular we investigate the range of such quasilinear differential operators and properties of the solution operator. For elliptic problems which are semilinear in nature, much has been accom
## Abstract The paper is devoted to the study of solutions to linear elliptic boundary value problems in domains depending smoothly on a small perturbation parameter. To this end we transform the boundary value problem onto a fixed reference domain and obtain a problem in a fixed domain but with di