Mathematical proof finds positive solutions in equations with singularities, indicating critical thresholds exist.
We prove the existence of a positive ground state solution for a fractional (p,q)-Laplacian Choquard equation that features both a singularity and an upper critical exponent. The proof relies on a combination of the Nehari manifold technique and Ekeland’s variational principle.
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Bai et al. (2026) studied this question.
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