Statement of Suleyman Ulusoy
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A Duality Approach to the Fractional Laplacian with Measure Data
We describe a duality method to prove both existence and uniqueness of solutions to nonlocal problems like (−∆)v = μ in R , with vanishing conditions at infinity. Here μ is a bounded Radon measure whose support is compactly contained in RN , N ≥ 2, and −(∆)s is the fractional Laplace operator of order s ∈ (1/2, 1).
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Objective(s):The inhibitory effects of iron chelators, and FeCl3 chelation on biofilm formation and swarming motility were investigated against an opportunistic human pathogen Pseudomonas aeruginosa. Materials and Methods:The inhibitory activity of 2,2’-bipyridyl, lipoic acid, kojic acid and picolinic acidonbiofilm formation of P. aeruginosa strain PAO1 and three clinical isolates (P. aeruginos...
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which was first derived in (Ulusoy, Nonlinearity 20 (2007): 685–712). We prove results on the regularity of non-negative solutions. In Ulusoy, an entropy dissipation–entropy estimate was provided for the p = 3 and n = 2 case using the energy functional Kq := ∫ hx hq dx. Here, we extend our calculations to include various other p and n values. After establishing some results on the support prope...
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OBJECTIVE In this study, anticancer effects of mirtazapine on rats were investigated in an adenocarcinoma model induced by N-methyl-N-nitro-N-nitrosoguanidine (MNNG) and compared with those of cisplatin. MATERIALS AND METHODS For this purpose, 10 mg/kg doses of mirtazapine were administered orally to one group of rats, while 1 mg/kg doses of cisplatin were administered intraperitoneally to an...
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