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2019 Nonexistence of Wente's $L^\infty$ estimate for the Neumann problem
Jonas Hirsch
Anal. PDE 12(4): 1049-1063 (2019). DOI: 10.2140/apde.2019.12.1049

Abstract

We provide a counterexample of Wente’s inequality in the context of Neumann boundary conditions. We will also show that Wente’s estimate fails for general boundary conditions of Robin type.

Citation

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Jonas Hirsch. "Nonexistence of Wente's $L^\infty$ estimate for the Neumann problem." Anal. PDE 12 (4) 1049 - 1063, 2019. https://doi.org/10.2140/apde.2019.12.1049

Information

Received: 19 July 2017; Revised: 15 April 2018; Accepted: 23 July 2018; Published: 2019
First available in Project Euclid: 30 October 2018

zbMATH: 06991226
MathSciNet: MR3869385
Digital Object Identifier: 10.2140/apde.2019.12.1049

Subjects:
Primary: 35J05
Secondary: 35J25

Rights: Copyright © 2019 Mathematical Sciences Publishers

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Vol.12 • No. 4 • 2019
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