| ON THE RADIAL GROUND STATE OF P-LAPLACIAN EQUATION WITH GRADIENT TERM PERTURBATION |
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| 作者姓名： | 宣本金 陈祖墀 |
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| 作者单位： | Department Of Mathematics University of Science and Technologg of China，Hefei 230026，China |
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| 基金项目： | 中国科技大学校科研和教改项目 |
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| 摘 要： | 1IntroductionInthispaper,weconsidertheexistence,uniqueuessandnonexistenceoftheradialgroundstatetothefollowingp-Laplacianequation:whereApu=div(IDttl)Du),n>p22,qissubcriticalexponents,i.e.,qo.Bydefinition,afunctionu(x)issaidtobetheradialgroundstateto(1.1),ifu(x)=u(r)satisfies:1)u(r),Iu'Ip-'U'eC'(o, oo));2)u(r)isthesolutionofthefollowingCauchyproblem:3)u(r)satisfiesIn0urf0rmerpaper1],westlldiedtheexistenceanduniqueness0fradialgroundstatetoproblem(1-1)inthecasewhereq…
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ON THE RADIAL GROUND STATE OFP-LAPLACIAN EQUATION WITH GRADIENT TERM PERTURBATION |
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| Xuan Benjin,Chen Zuchi.ON THE RADIAL GROUND STATE OF P-LAPLACIAN EQUATION WITH GRADIENT TERM PERTURBATION[J].Acta Mathematica Scientia,2000,20(2). |
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| Authors: | Xuan Benjin Chen Zuchi |
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| Abstract: | |
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| Keywords: | P-Laplacian equation radial ground state shooting argument |
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