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Bubbling phenomena of Palais-Smale-like sequences ofm-harmonic type systems
Authors:Libin Mou  Changyou Wang
Institution:(1) Department of Mathematics, University of Iowa, 52242 Iowa City, IA, USA;(2) Department of Mathematics, Rice University, 77251 Houston, TX, USA
Abstract:In this paper, we study the bubbling phenomena of weak solution sequences of a class of degenerate quasilinear elliptic systems ofm-harmonic type. We prove that, under appropriate conditions, the energy is preserved during the bubbling process. The results apply tom-harmonic maps from a closed Riemannian manifoldM to a Riemannian homogeneous space, and tom-harmonic maps with constant volumes, and also to certain Palais-Smale sequences.
Keywords:35J60  58E20  46E35
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