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On the existence of positive eigenfunctions for an eigenvalue problem with indefinite weight function

โœ Scribed by Brown, K. J. (author);Lin, S. S. (author)


Publisher
Elsevier Science
Year
1980
Tongue
English
Weight
410 KB
Volume
75
Category
Article
ISSN
0022-247X

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## Let be a bounded domain in N and let m be a T -periodic function such that its restriction to ร— 0 T belongs to L s 0 T L v for some v > N 2 and s > 2v 2v-N , with v > 1 and s โ‰ฅ 2. We give necessary and sufficient conditions on m for the existence, uniqueness, and simplicity of the principal eig