Nonexistence of Wente's $L^\infty$ estimate for the Neumann problem

Jonas Hirsch

doi:10.2140/apde.2019.12.1049

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Home > Journals > Anal. PDE > Volume 12 > Issue 4 > Article

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

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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.

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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