Existence of periodic solutions to fractional p(z)-Laplacian parabolic problems
DOI:
https://doi.org/10.24193/subbmath.2025.1.05Keywords:
Periodic solutions, fractional p(z)-Laplacian, topological degree, parabolic equationsAbstract
We consider a class of nonlinear parabolic initial boundary value problems having the fractional p(z)-Laplacian operator. By combining variable exponent fractional Sobolev spaces with topological degree theory, we establish the
existence of a time-periodic non-trivial weak solution.
Mathematics Subject Classification (2010): 35B10, 35K55, 47H11, 35R11.
Received 02 January 2024; Accepted 20 March 2024.
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