Existence of multi-bump solutions for a system with critical exponent in RN |
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Authors: | Jianjun Nie Yanheng Ding |
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Institution: | 1. School of Mathematics and Physics, North China Electric Power University, Beijing 102206, PR China;2. Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, PR China |
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Abstract: | We consider the following system with critical exponent in : where , and . Using finite dimensional reduction method, we prove the existence of multi-bump solutions. Their bumps can be placed on arbitrarily many or even infinitely many lattice points in . Since or , we introduce two new norms to avoid singularity. |
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Keywords: | Elliptic system Critical exponent Finite dimensional reduction Multi-bump solutions |
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