We consider Dirichlet boundary value problems for a class of nonlinear ordinary differential equations motivated by the study of radial solutions of equations which are perturbations of the p -Laplacian.
Positive solutions of some quasilinear partial differential inequalities and systems
✍ Scribed by Evgeny Galakhov
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 171 KB
- Volume
- 279
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
Abstract
We establish the necessary conditions for existence of positive solutions to elliptic and evolution partial differential inequalities and their systems with singularities at the origin, at the boundary, or on subsets of different dimension. Our basic tool is the nonlinear capacity method due to E. Mitidieri and S. Pohozaev. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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