Journal
MEDITERRANEAN JOURNAL OF MATHEMATICS
Volume 17, Issue 4, Pages -Publisher
SPRINGER BASEL AG
DOI: 10.1007/s00009-020-01551-1
Keywords
Caffarelli-Kohn-Nirenberg inequality; eigenvalue problem; critical point theorem; generalized Lebesgue-Sobolev space; Luxemburg norm; Primary 35J60; Secondary 35J91; 58E30
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Funding
- Slovenian Research Agency [P1-0292, J1-8131, N1-0064, N1-0083, N1-0114]
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In this paper, we introduce and study a new functional which was motivated by the work of Bahrouni et al. (Nonlinearity 31:1518-1534, 2018) on the Caffarelli-Kohn-Nirenberg inequality with variable exponent. We also study the eigenvalue problem for equations involving this new functional.
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