On doubly critical coupled systems involving fractional Laplacian with partial singular weight
نویسندگان
چکیده
In this paper, we consider the doubly critical coupled systems involving fractional Laplacian in ℝ n with partial singular weight: ( − Δ ) s u γ 1 | x ′ 2 = ∗ β + η α v , (0.1)where ∈ (0, 1), 0 ≤ α, < 2s n, m × η1, η2 > 1, : / s, γ1, γ2 γH, and H is some explicit constant. By establishing new embedding results partially weighted Morrey norms product space ˙ ), provide sufficient conditions under which a weak nontrivial solution of (0.1) exists via variational methods. We also extend these to p-Laplacian especially.
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ژورنال
عنوان ژورنال: Mathematical Methods in The Applied Sciences
سال: 2021
ISSN: ['1099-1476', '0170-4214']
DOI: https://doi.org/10.1002/mma.7637