Journal
NONLINEARITY
Volume 31, Issue 4, Pages 1516-1534Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1361-6544/aaa5dd
Keywords
p(x)-Laplace operator; Caffarelli-Kohn-Nirenberg inequality; multiple solutions; fountain theorem
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Funding
- Slovenian Research Agency [P1-0292, J1-8131, J1-7025, N1-0064]
- Romanian Ministry of Research and Innovation, CNCS-UEFISCDI within PNCDI III [PN-III-P4-ID-PCE-2016-0130]
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We present a weighted version of the Caffarelli-Kohn-Nirenberg inequality in the framework of variable exponents. The combination of this inequality with a variant of the fountain theorem, yields the existence of infinitely many solutions for a class of non-homogeneous problems with Dirichlet boundary condition.
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