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Infinitely many solutions to Kirchhoff double phase problems with variable exponents
- Author(s)
- Ho, Ky, Winkert, Patrick
- Issued Date
- 2023-11
- Citation
- APPLIED MATHEMATICS LETTERS, v.145, pp.108783
- Abstract
- In this work we deal with elliptic equations driven by the variable exponent double phase operator with a Kirchhoff term and a right-hand side that is just locally defined in terms of very mild assumptions. Based on an abstract critical point result of Kajikiya (2005) and recent a priori bounds for generalized double phase problems by the authors (Ho and Winkert, 2022), we prove the existence of a sequence of nontrivial solutions whose L & INFIN;-norms converge to zero. & COPY; 2023 Elsevier Ltd. All rights reserved.
- Publisher
- PERGAMON-ELSEVIER SCIENCE LTD
- ISSN
- 0893-9659
- Keyword (Author)
- Double phase operator, Kirchhoff term, Multiple solutions, Variable exponents, Variational methods
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