Global bifurcation of a class of p-Laplacian like operators
β Scribed by Kimiaki Narukawa
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 493 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
In this paper, we study the following p(x)-Laplacian equation: where β¦ β R N is bounded, Ξ» β₯ 0. Under suitable assumptions, we obtain the existence of global branches of solutions for the above problem via the subsolution-supersolution method.
We prove here bifurcation and existence results for a nonlinear elliptic system involving the p -Laplacian. We say that i is an eigenvalue of (E,) if there exists a nontrivial pair (u,v) E ( W i ' p ) 2 1991 Mathematics Subject Classification. 35; 35 G ; 35 J. Keywords and phrases. p -Laplacian, sy
We study the bifurcation diagrams of positive solutions of the p-Laplacian Dirichlet problem is the onedimensional p-Laplacian, and > 0 is a bifurcation parameter. We assume that functions g and h satisfy hypotheses (H1)-(H3). Under hypotheses (H1)-(H3), we give a complete classification of bifurca