A comparison result for perturbed radial p-Laplacians
✍ Scribed by Raul Manásevich; Guido Sweers
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 255 KB
- Volume
- 291
- Category
- Article
- ISSN
- 0022-247X
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✦ Synopsis
Consider the radially symmetric p-Laplacian for p 2 under zero Dirichlet boundary conditions. The main result of the present paper is that under appropriate conditions a solution of a perturbed (radially symmetric) p-Laplacian can be compared with the solution of the unperturbed one. As a consequence one obtains a sign preserving result for a system of p-Laplacians which are coupled in a nonquasimonotone way.
📜 SIMILAR VOLUMES
## Communicated by M. Lachowicz We obtain the variant of maximum principle for radial solutions of, possibly singular, p-harmonic equations of the form as well as for solutions of the related ODE. We show that for the considered class of equations local maxima of |w| form a monotone sequence in |
We establish two comparison results, between the solutions of a class of mean curvature equations and pieces of arcs of circles that satisfy the same Neumann boundary condition. Finally we present a number of examples where our estimates can be applied; some of them have a physical motivation.
## Abstract In this paper, a positive and a negative solution are obtained for quasilinear elliptic equations on **R**^__N__^ with resonance near infinity and near the origin at the first eigenvalue.