Abstract
It is shown that the Neumann function for −Δu+u=f on a bounded domain Ω⊂ℝn can be estimated pointwise from below in a uniform way. The proof is based on known uniform estimates from below for the Green function.
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Acknowledgements
This note would not have been written, if Pavol Quittner had not been asking the right questions. I thank him for the inspiration. I also thank the referee for his comments which thoroughly simplified the proof.
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To the memory of Wolfgang Walter
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Sweers, G. (2012). Green Function Estimates Lead to Neumann Function Estimates. In: Bandle, C., Gilányi, A., Losonczi, L., Plum, M. (eds) Inequalities and Applications 2010. International Series of Numerical Mathematics, vol 161. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0249-9_4
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DOI: https://doi.org/10.1007/978-3-0348-0249-9_4
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