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A Positive Solution for Some Critical p-Laplacian Systems

A Positive Solution for Some Critical p-Laplacian Systems
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摘要 This paper deals with the existence of a positive solution for two classes of critical quasilinear system. We prove these results by a variant of mountain pass lemma, combining two convergence theorems and two estimate results. Here we avoid the usual compactness arguments（e.g., Palais-Smale condition or Cerami condition） and reveal the potential of some energy level estimates for the existence of nontrivial solutions. This paper deals with the existence of a positive solution for two classes of critical quasilinear system. We prove these results by a variant of mountain pass lemma, combining two convergence theorems and two estimate results. Here we avoid the usual compactness arguments（e.g., Palais-Smale condition or Cerami condition） and reveal the potential of some energy level estimates for the existence of nontrivial solutions.
作者 Xiao Zhi WANG
机构地区 College of Science
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2015年第3期479-500,共22页 数学学报（英文版）
关键词 p-Laplacian system critical growth convergence theorem estimate result p-Laplacian system, critical growth, convergence theorem, estimate result
分类号 O175 [理学—基础数学]
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参考文献24

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Acta Mathematica Sinica,English Series
2015年 第3期

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