A generalization of the asymptotic behavior of Palais-Smale sequences on a manifold with boundary
Keyword(s):
In this paper, we study the asymptotic behavior of Palais-Smale sequences associated with the prescribed mean curvature equation on a compact manifold with boundary. We prove that every such sequence converges to a solution of the associated equation plus finitely many “bubbles” obtained by rescaling fundamental solutions of the corresponding Euclidean boundary value problem.
2007 ◽
Vol 241
(1)
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pp. 112-129
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2017 ◽
Vol 24
(1)
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pp. 113-134
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2003 ◽
Vol 52
(4)
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pp. 1069-1077
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2019 ◽
Vol 21
(03)
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pp. 1850003
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2010 ◽
Vol 21
(4)
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pp. 982-1035
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