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math.AP2024
Partial regularity for degenerate systems of double phase type
Jihoon Ok, Giovanni Scilla, Bianca Stroffolini
We study partial regularity for degenerate elliptic systems of double-phase type, where the growth function is given by with and a nonnegati…
math.AP2024
Nonlocal equations with degenerate weights
Linus Behn, Lars Diening, Jihoon Ok +1
We introduce fractional weighted Sobolev spaces with degenerate weights. For these spaces we provide embeddings and Poincaré inequalities. When the order of fractional differentiab…
math.AP2024
Wolff potentials and nonlocal equations of Lane-Emden type
Quoc-Hung Nguyen, Jihoon Ok, Kyeong Song
We consider nonlocal equations of the type \[ (-Δ_{p})^{s}u = μ\quad \text{in}\;\; Ω, \] where is either a bounded domain or the whole , $…