Perturbedp-Laplacian inRN: Bifurcation from the Principal Eigenvalue
✍ Scribed by Pavel Drábek; Yin Xi Huang
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 264 KB
- Volume
- 204
- Category
- Article
- ISSN
- 0022-247X
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✦ Synopsis
and the associated problem with homogeneous principal part, < < py2 < < py2 ydiv a x ٌu ٌu sg x u u q f , x, u , 2 0 in R N and may be singular or degenerate at infinity, no growth restriction on Ž . a x, и is postulated, and both f and g may change sign.
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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
The eigenvalue problem is considered for the Laplacian on regular polygons, with either Dirichlet or Neumann boundary conditions, which will be related to the unit circle by a conformal mapping. The polygonal problem is then equivalent to a weighted eigenvalue problem on the circle with the same bou