## 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 |
Maximum and Comparison Principles for Operators Involving thep-Laplacian
✍ Scribed by J Garcı́a-Melián; J Sabina de Lis
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 223 KB
- Volume
- 218
- Category
- Article
- ISSN
- 0022-247X
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✦ Synopsis
In this paper some characterizations for the validity of both maximum and weak Ž .< < py2 comparison principles for the operator L L u s y⌬ u q a x u u, under
Dirichlet conditions, are given. Some comparison and nonresonance results for Ž . sublinear operators of the form y⌬ u q f x, u are also studied.
📜 SIMILAR VOLUMES
In this paper the work of Berestycki, Nirenberg and Varadhan on the maximum principle and the principal eigenvalue for second order operators on general domains is extended to Riemannian manifolds. In particular it is proved that the refined maximum principle holds for a second order elliptic operat