Struwe's Decomposition for a Polyharmonic Operator on a compact Riemannian Manifold with or without Boundary
Analysis of PDEs
2016-03-28 v1
Abstract
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. 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 .
Keywords
Cite
@article{arxiv.1603.07953,
title = {Struwe's Decomposition for a Polyharmonic Operator on a compact Riemannian Manifold with or without Boundary},
author = {Saikat Mazumdar},
journal= {arXiv preprint arXiv:1603.07953},
year = {2016}
}