Combined effects for magnetic Laplace equations with lack of compactness |
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| Authors: | Youpei Zhang Limin Zhang Lixi Wen |
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| Institution: | 1. School of Mathematics and Statistics, Central South University, Changsha, Hunan 410083, China;2. Department of Mathematics, University of Craiova, Street A.I. Cuza No. 13, Craiova 200585, Romania |
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| Abstract: | We are concerned with qualitative analysis of weak solutions for a class of magnetic Laplace equations with lack of compactness. By variational arguments, we establish related nonexistence, existence and multiplicity results. |
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| Keywords: | Magnetic Laplace equations Weighted Sobolev spaces Entire solutions Mountain geometry |
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