Bubbling phenomena of Palais-Smale-like sequences ofm-harmonic type systems |
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Authors: | Libin Mou Changyou Wang |
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Institution: | (1) Department of Mathematics, University of Iowa, 52242 Iowa City, IA, USA;(2) Department of Mathematics, Rice University, 77251 Houston, TX, USA |
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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. |
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Keywords: | 35J60 58E20 46E35 |
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