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Monotonicity results in half-spaces for the p-Laplacian
Published online by Cambridge University Press: 03 June 2015
Abstract
We prove monotonicity properties of positive weak solutions to – Δpu = f(u) in half-spaces for the case in which (2N + 2)/(N + 2) < p < 2 when zero Dirichlet boundary conditions are imposed. The model nonlinearity is given by f(s) := sq − λsm with q > m ≥ p − 1 and λ > 0.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 145 , Issue 3 , June 2015 , pp. 597 - 610
- Copyright
- Copyright © Royal Society of Edinburgh 2015
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