Introduces dyadic tree index and sprawling tree index as linear and bi-Lipschitz invariants of Banach spaces, characterized by sub-Lipschitz embeddability of dyadic and countably branching diamond graphs of ordinal height, with links to fragmentability indices.
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Positive solutions to the fractional Hartree equation blow up at exactly one interior point as epsilon -> 0, with the location characterized and blow-up shape and rates determined, plus analogous results for the fractional Brezis-Nirenberg problem.
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Asymptotic behavior of solutions for the nonlinear Hartree equation involving the fractional Laplacian
Positive solutions to the fractional Hartree equation blow up at exactly one interior point as epsilon -> 0, with the location characterized and blow-up shape and rates determined, plus analogous results for the fractional Brezis-Nirenberg problem.