Results 101 to 110 of about 1,008,634 (300)
Boundedness and Hölder continuity of weak solutions of the nonlinear boundary-value problem for elliptic equations with general nonstandard growth conditions [PDF]
Mathematica BohemicaWe study a nonlinear boundary-value problem for elliptic equations with critical growth conditions involving Lebesgue measurable functions. We prove global boundedness and Hölder continuity of weak solutions for this problem.
Gumpyong Ri, Dukman Ri
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Considerable efforts have been dedicated to developing effective treatments for post‐stroke executive impairment (PSEI), among which repetitive transcranial magnetic stimulation (rTMS) has shown great potential. This study aimed to investigate the therapeutic effects of high‐frequency rTMS on working memory (WM) and response ...
Mengting Lao +6 more
wiley +1 more source
Harnack inequality for a class of functionals with non-standard growth via De Giorgi’s method
Advances in Nonlinear Analysis, 2018 We study the regularity theory of quasi-minimizers of functionals with Lp(⋅)logL{L^{p(\,\cdot\,)}\log L}-growth. In particular, we prove the Harnack inequality and, in addition, the local boundedness and the Hölder continuity of the quasi-minimizers ...
Ok Jihoon
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Digital technologies hold promise for transforming healthcare by enhancing personalized treatments and offer valuable opportunities to improve patient care. Here, we evaluated several novel, self‐administered, home‐based, digital endpoints for their association with corresponding conventional standard clinical measures (primary) in ...
Arne Mueller +14 more
wiley +1 more source
Local Hölder continuity for doubly nonlinear parabolic equations [PDF]
, 2010 We give a proof of the Hölder continuity of weak solutions of certain degenerate doubly nonlinear parabolic equations in measure spaces. We only assume the measure to be a doubling non-trivial Borel measure which supports a Poincaré inequality.
Kuusi, Tuomo +2 more
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Variants in SLC6A1, encoding the GABA transporter 1 (GAT‐1), cause epilepsy, autism spectrum disorder, and developmental delay via loss of GABA uptake, impaired trafficking, and ER retention. We previously found that 4‐Phenylbutyrate (PBA), an FDA‐approved drug, restores GABA uptake and reduces seizures in SLC6A1‐related disorders ...
Melissa B. DeLeeuw +5 more
wiley +1 more source
Some properties of a kind of generalized Teodorescu operator in Clifford analysis
Journal of Inequalities and Applications, 2016 First, a kind of generalized Teodorescu operator which is related to the k-regular functions are defined. Then the boundedness and the Hölder continuity of the generalized Teodorescu operator are discussed.
Liping Wang
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Peripheral Neutrophil Activation and Extracellular Trap Formation in Amyotrophic Lateral Sclerosis
Annals of Clinical and Translational Neurology, EarlyView.Markers of neutrophil activation are increased in plasma during ALS, and markers of NET formation associate with ALS survival. ABSTRACT Objectives Peripheral neutrophil levels in amyotrophic lateral sclerosis (ALS) inversely correlate with survival, suggesting a role for neutrophils in disease progression.
Lillia A. Baird +9 more
wiley +1 more source
Hölder continuity for the inverse of Mañé's projection
, 1990 Eden, A.. (1990). Hölder continuity for the inverse of Mañé's projection.
Eden, A.
core
Hölder continuity of quasiconformal mappings of the unit ball
, 1988 The authors obtain a modified form of Gehring’s Hölder-continuity theorem for the family of K K -quasiconformal self-mappings of the unit ball in n n -space, such that the distortion coefficient is independent of
M. K. Vamanamurthy, G. D. Anderson
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