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MULTIPLE POSITIVE SOLUTIONS FOR A CLASS OF QUASI-LINEAR ELLIPTIC EQUATIONS INVOLVING CRITICAL SOBOLEV EXPONENT 被引量:4

MULTIPLE POSITIVE SOLUTIONS FOR A CLASS OF QUASI-LINEAR ELLIPTIC EQUATIONS INVOLVING CRITICAL SOBOLEV EXPONENT
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摘要 In this paper, we study the multiplicity results of positive solutions for a class of quasi-linear elliptic equations involving critical Sobolev exponent. With the help of Nehari manifold and a mini-max principle, we prove that problem admits at least two or three positive solutions under different conditions. In this paper, we study the multiplicity results of positive solutions for a class of quasi-linear elliptic equations involving critical Sobolev exponent. With the help of Nehari manifold and a mini-max principle, we prove that problem admits at least two or three positive solutions under different conditions.
出处 《Acta Mathematica Scientia》 SCIE CSCD 2014年第4期1111-1126,共16页 数学物理学报(B辑英文版)
基金 Supported by NSFC(11171261 and 11371282)
关键词 Nehari manifold critical Sobolev exponent quasi-linear problem mini-max principle multiple positive solutions Nehari manifold critical Sobolev exponent quasi-linear problem mini-max principle multiple positive solutions
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