MULTIPLE POSITIVE SOLUTIONS FOR A CLASS OF QUASI-LINEAR ELLIPTIC EQUATIONS INVOLVING CRITICAL SOBOLEV EXPONENT |
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| Institution: | [1]School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China; [2]College of Sciences, China University of Mining and Technology, Xuzhou 221116, China |
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| Abstract: | 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. |
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| Keywords: | Nehari manifold critical Sobolev exponent quasi-linear problem mini-max principle multiple positive solutions |
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