1995Revista Matemática IberoamericanaOpen access

A remark on gradients of harmonic functions

Wensheng Wang

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Abstract

In any C^{1,s} domain there is nonzero harmonic function C^1 continuous up to the boundary such that the function and its gradient on the boundary vanish on a set of positive measure.

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In any C^{1,s} domain there is nonzero harmonic function C^1 continuous up to the boundary such that the function and its gradient on the boundary vanish on a set of positive measure.

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OpenAlex reports 13 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In any C^{1,s} domain there is nonzero harmonic function C^1 continuous up to the boundary such that the function and its gradient on the boundary vanish on a set of positive measure.

Key concepts: Harmonic, Harmonic function, Mathematics, Mathematical analysis, Mechanics, Geology, Physics, Acoustics

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