In this article, we prove multiplicity of solutions for the sum of polyharmonic equation with critical Sobolev exponent. The proof is based upon the methods of weakly lower semi-continuous of the functionals and the Mountain Pass Lemma without (PS) conditions.
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Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
Zunyi Normal Coll, Sch Math & Computat Sci, Zunyi 563002, Guizhou, Peoples R ChinaSouthwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
Liao, Jia-feng
Liu, Jiu
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Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R ChinaSouthwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
Liu, Jiu
Zhang, Peng
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Zunyi Normal Coll, Sch Math & Computat Sci, Zunyi 563002, Guizhou, Peoples R ChinaSouthwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
Zhang, Peng
Tang, Chun-Lei
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Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R ChinaSouthwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
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Anyang Normal Univ, Sch Math & Stat, Anyang 455000, Henan, Peoples R ChinaAnyang Normal Univ, Sch Math & Stat, Anyang 455000, Henan, Peoples R China