Open AccessExistence of Multiple Solutions for a Singular Elliptic Problem with Critical Sobolev Exponent
Author(s) -
Zonghu Xiu
Publication year - 2012
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2012/806397
Subject(s) - mathematics , sobolev space , exponent , critical exponent , elliptic curve , pure mathematics , mathematical analysis , geometry , scaling , philosophy , linguistics
We consider the existence of multiple solutions of the singular elliptic problem , as , where , , , , , , . By the variational method and the theory of genus, we prove that the above-mentioned problem has infinitely many solutions when some conditions are satisfied
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