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One is our minimal regular assumptions which are concerned with elliptic obstacle problems (1.1) with partially BMO coefficients over the bounded nonsmooth domain.
An optimal regularity is always important for mathematics and physics in the classical functional frame with minimal regular given datum, for example, in the Lebesgue spaces (L^{p}) and Sobolev spaces (W^{1,p}) with p as a fixed constant in ((1,infty)).
To the best knowledge of the authors of this paper, this is the first time to consider the regularity in the category of the Lorentz spaces with variable exponents for the weak solution of variational inequalities (1.1) under minimal regular assumptions on the leading coefficients and the boundary of domain.
To this end, it is necessary to impose some suitable minimal regular assumptions on the coefficients (A x)) and geometric restriction on the boundary of the domain under the assumption that the given variable exponent (p(x)) has log-Hölder continuity.
The association was strongest among women who also reported minimal regular physical activity.
Therefore, it is of high importance that patients treated according to the TTOP intervention as well as patients receiving the standardized minimal regular care should be treated with a highly efficacious topical medication with a simplified regimen.
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Most of this promising body of evidence comes from studies evaluating Internet-based guided self-help treatments, in which the presentation of a Web-based self-help program is combined with minimal but regular therapist contact via e-mail.
Grubbs' first generation and Schrock's catalysts are known to promote minimal isomerization under regular ADMET reaction conditions, while studies on Grubbs' second generation, as well as other ruthenium-based metathesis catalysts, shows significant isomerization under similar conditions [30, 31].
If someone asked you to list behaviours that may help lead to a long life, you might say a diet plentiful in fresh fruit and veg, minimal booze, and regular exercise.
Moreover, runners exhibited higher leg stiffness when running with minimal shoes than regular shoes, regardless of surface inclination [ 32].
Thus, inhibition of NAADP-stimulated Ca2+ oscillations represents a viable cardioprotective strategy which may have minimal effects on regular cardiac contraction.
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