On the differentiability of the Sobolev norm of \(W^{k,1}(M)\) on compact Riemannian manifolds

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2026年5月8日

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Duván Cardona,
Julio Delgado,
Andres Felipe Muñoz-Tello

摘要

In this work we study the differentiability for the Sobolev norm of \(W^{k,1}(M)\) in the sense of Gâteaux , where (M, g) is an arbitrary closed Riemannian manifold.

<p>In this work we study the differentiability for the Sobolev norm of <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(W^{k,1}(M)\)</EquationSource> </InlineEquation> in the sense of Gâteaux , where (<i>M</i>,&#xa0;<i>g</i>) is an arbitrary closed Riemannian manifold.</p>

On the differentiability of the Sobolev norm of \(W^{k,1}(M)\) on compact Riemannian manifolds

摘要

<p>In this work we study the differentiability for the Sobolev norm of <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(W^{k,1}(M)\)</EquationSource> </InlineEquation> in the sense of Gâteaux , where (<i>M</i>, <i>g</i>) is an arbitrary closed Riemannian manifold.</p>