Evidently, there exists f n ∈ N ( x n ), by virtue of the hypothesis (H4)(iv), we have that ∥ f n ∥ X ∗ ≤ M 1 ˆ + M 2 ˆ ∥ x ∥ L p ( I, H ) k − 1, so { f n ( t ) } n ≥ 1 ⊆ X ∗ is uniformly integrable.
Evidently, there exists much scope for more comprehensive studies on awareness and knowledge of ocular diseases in those from rural communities who have not presented to care, but the recruitment of respondents may be difficult.
Evidently, there exist variations in the patterns of childhood stunting not only across various regions of the world but also within and between local authorities, regional space dimensions and/or countries.
Evidently, if there exists an S-shaped component in the positive solutions set of problem (1.1), then we can accordingly deduce the existence and multiplicity of positive solutions for problem (1.1) and, especially, establish the existence of three distinct positive solutions for λ being in a certain interval.
Evidently, E is continuously embedded into (L^{p}(mathbb{R}^{N})) for (2leq pleq2^) under the condition (V), that is, there exists (S_{p}>0) such that |u|_{p}leq S_{p}|u|, quad forall u in E, pin bigl[2,2^bigr].
"Nothing out there exists".
You are there, exist there.
For the bare γ-Fe2O3 nanoparticles, the resonance line width of field-treated sample narrowed evidently with respect to that of naturally dried sample, exhibiting that there exists the magnetic dipolar interaction among the nanoparticles [9].
Evidently, E is continuously embedded into l q ( Z, R N ) for 2 ≤ q ≤ + ∞, i.e., there exists γ q > 0 such that ∥ u ∥ q ≤ γ q ∥ u ∥, ∀ u ∈ E. (2.2).
There evidently exists a high degree of gender equity regarding both on-going education and education levels in Malmö and overall in Sweden (126, 136, 139), but significant differences exist at different areas of training, with higher proportions of men in technical positions and lower in care trainings, and a lower proportion of women in research (139).
There exist people with superpowers.
