Singular fractional double-phase problems involving logarithmic non-linearity with variable exponent via Morse’s theory
DOI:
https://doi.org/10.2298/FIL2609133IKeywords:
Fractional Sobolev space , Fractional double phase, Infinitely many solutions, Morse theory, local linking, critical groupsAbstract
In this work, we study a fractional nonlocal problem involving a logarithmic-type nonlinearity, a singular term, and a vanishing potential. Our methodology is based on the computation of the critical groups of an approximate problem. By combining Morse theory with variational methods, we prove that the considered problem admits infinitely many solutions.
