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Pré-Publication, Document De Travail Année : 2016

Struwe's decomposition for a polyharmonic operator on a compact Riemannian manifold with or without boundary.

Saikat Mazumdar
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Résumé

Given a high-order elliptic operator on a compact manifold with or without boundary, we perform the decomposition of Palais-Smale sequences for a nonlinear problem as a sum of bubbles. This is a generalization of the celebrated 1984 result of Struwe [16]. Unlike the case of second-order operators, bubbles close to the boundary might appear. Our result includes the case of a smooth bounded domain of R n .
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Dates et versions

hal-01293952 , version 1 (25-03-2016)

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  • HAL Id : hal-01293952 , version 1

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Saikat Mazumdar. Struwe's decomposition for a polyharmonic operator on a compact Riemannian manifold with or without boundary.. 2016. ⟨hal-01293952⟩
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