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Maximum principles and nonexistence results for radial solutions to equations involving p-Laplacian

✍ Scribed by Tomasz Adamowicz; Agnieszka Kałamajska

Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
198 KB
Volume
33
Category
Article
ISSN
0170-4214

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✦ Synopsis

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 |x| and constant sign solutions are monotone. The results are applied to nonexistence and nonlinear eigenvalue problems. We generalize our previous work for the case h ≡ 0.

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