A ‘sup + C inf’ inequality for the equation –Δu = V eu|x|2α
Published online by Cambridge University Press: 08 December 2010
Abstract
We generalize the ‘sup+C inf’ inequality obtained by Shafrir to the solutions of
with Ω ⊂ ℝ2 open and bounded, α ∈ (0,1) and V any measurable function which satisfies 0 < a ≤ V ≤ b < + ∞.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 140 , Issue 6 , December 2010 , pp. 1119 - 1139
- Copyright
- Copyright © Royal Society of Edinburgh 2010
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