Structure of least-energy solutions for quasilinear elliptic equations on convex domains |
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| Authors: | Zhengce Zhang Liping Zhu Kaitai Li |
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| Affiliation: | 1. College of Sciences, Xi’an Jiaotong University, Xi’an, 710049, PR China;2. College of Sciences, Xi’an University of Architecture and Technology, Xi’an, 710054, PR China |
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| Abstract: | In this paper we study the existence and structure of the least-energy solutions for a class of singularly perturbed quasilinear elliptic equations. Using the moving plane method and a geometric lemma we show that any least-energy solution develops to a single spike-layer solution on convex domains. |
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| Keywords: | 35B40 35B50 35J60 35J70 |
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