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Nontrivial Solution Problems of Biharmonic Equation with Hardy Potential in R4(PDF)

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

Issue:
2014年02期
Page:
44-
Research Field:
数学
Publishing date:

Info

Title:
Nontrivial Solution Problems of Biharmonic Equation with Hardy Potential in R4
Author(s):
Wu Yun
School of Mathematics and Computer Science,Guizhou Normal University,Guiyang 550001,China
Keywords:
eigenvalue problem; biharmonic; Hardy potential
PACS:
O175.25
DOI:
-
Abstract:
This paper considers eigenvalue problems of a biharmonic equation with Hardy potential:1|x|4(lnR/|x|)2 in R4.By the way of renormed,we have a new Hilbert space H.Furthermore using the HardyRellich inequality,we prove that there is a nontrivial solution for these problems in a new space H.

References:

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Memo

Memo:
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Last Update: 2014-06-30