## Abstract We study the properties of the positive principal eigenvalue of a degenerate quasilinear elliptic system. We prove that this eigenvalue is simple, unique up to positive eigenfunctions and isolated. Under certain restrictions on the given data, the regularity of the corresponding eigenfu
Global bifurcation results on degenerate quasilinear elliptic systems
β Scribed by Marilena N. Poulou; Nikolaos M. Stavrakakis; N.B. Zographopoulos
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 239 KB
- Volume
- 66
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
β¦ Synopsis
In this paper we prove certain bifurcation results for the following degenerate quasilinear system
where Ξ© is a bounded and connected subset of R N , with N β₯ 2. This is achieved by applying topological degree and global bifurcation theory (in the sense of Rabinowitz).
π SIMILAR VOLUMES
## Abstract We study the degenerate ecological models where ${p,q>1, {\Delta\_pu}={{\rm div}(\vert Du\vert^{p-2}Du)},{{\Delta\_q}v={{\rm div}(\vert Dv\vert^{q-2}Dv)}}}, a,b,c,d,\alpha, \beta$ are positive numbers. The structure of positive solutions of the models is discussed via bifurcation theo
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