Opuscula Math. 42, no. 5 (2022), 751-761
https://doi.org/10.7494/OpMath.2022.42.5.751
Opuscula Mathematica
Notes on aplications of the dual fountain theorem to local and nonlocal elliptic equations with variable exponent
Abstract. Using the Dual Fountain Theorem we obtain some existence of infinitely many solutions for local and nonlocal elliptic equations with variable exponent. Our results correct some of the errors that have appeared recently in the literature.
Keywords: dual fountain theorem, \(p(\cdot)\)-Laplacian, fractional \(p(\cdot)\)-Laplacian, infinitely many solutions.
Mathematics Subject Classification: 35J60, 35D30, 35J20.
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- Robert Stegliński
https://orcid.org/0000-0002-5621-1945- Lodz University of Technology, Institute of Mathematics, Politechniki 8, 93-590 Lodz, Poland
- Communicated by Vicentiu D. Rădulescu.
- Received: 2022-04-25.
- Revised: 2022-07-02.
- Accepted: 2022-07-04.
- Published online: 2022-09-08.
