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Multiple Solutions for Elliptic Equation With Critical Sobolev-Hardy Exponent and Inhomogeneous Term(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2008年04期
Page:
1-7
Research Field:
数学
Publishing date:

Info

Title:
Multiple Solutions for Elliptic Equation With Critical Sobolev-Hardy Exponent and Inhomogeneous Term
Author(s):
Ahamed Adam Abdelgadir1; 2; Shen Yaotian1; Yao Yangxin1
1.School of Mathematical Sciences,South China University of Technology,Guangzhou 510640,China
2. B lue N ileU nivers ity, Facu lty ofE ngineering Departm en t ofMathem atics, Dam az in-Sudan
Keywords:
p-Laplace equa tion;  cr itica l exponent;  best constant;  Sobo lev-H ardy inequality
PACS:
O175.25
DOI:
-
Abstract:
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References:

[ 1] BrezisH, N irenberg L. Positive so lutions o f nonlinear elliptic equation invo lv ing critica l Sobo lev exponents[ J]. Comm Pure App lM ath, 1983( 36) : 437-477.
[ 2] Cao D M, Zhou H S. On the ex istence of mu ltip le so lutions of no hom ogeneous e lliptic equations invo lv ing exponents[ J].ZAMP, 1996( 47): 89-96.
[ 3] Caffare lli L, Kohn R , N irenberg L. F irst order in terpolation inequa lities w ith w e ights[ J]. Com pos itioM a th, 1984( 53):259-275.
[ 4] B rezisH, Lieb E. A relation betw een po intw ise convergence o f func tions and convergence o f func tiona ls[ J]. ProcAm erM a th Soc, 1983, 88( 3): 486-490.
[ 5] Ghoussoub N, Yuan C. M u ltiplic so lu tions for quasilinea r PDEs invo lv ing the critical Sobo lev and H ardy exponents[ J].T rans Am e rM ath Soc, 2000, 352( 12): 5 703-5 743.

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Last Update: 2013-05-05