In this paper we improve the existence results on KPD ({3,s∗},v) for s=4,5.
Meanwhile, we also improve the existence result for frame self-orthogonal Mendelsohn triple systems of type hn by reducing an infinite class of possible exceptions, namely n= 9 and h≡2mod6, to eight undetermined cases.
Our main results generalize, extend and improve the existence results on the topic in the literature.
Motivated by the works [2, 6, 9, 17 26], we will use variational methods to generalize and improve the existence results on sign-changing solutions in reference to the relaxing assumption (Ne).
The interaction between metal particles and metal oxides is better than that between metal particles and graphene, such that ITO acts as a stabilizer that improves the existence and durability of the metal catalysts in graphene [30].
These differences that indicate the frequency, sound color, strength and speed of sounds improve the existence of an interference wave between the heart and respiratory sounds.
"There's not a downside to helping offenders understand their role in the cycle of violence and how to break it," she said, describing restorative justice as a way of "improving the emotional existence and ethical awareness" of dangerous offenders.
So what I do in the committee is just fixing the surface and improving the animal's existence" (Lay person for Animal rights).
In the present paper, we will study the model (1.3) in the subcritical α > 1 2 and critical case α > 1 2. On the one hand, we will establish the solution with lower regularity for initial data θ 0 ∈ Ḣ 1 , and this improved the global existence for initial data θ0 ∈H s (s > 1) in [1].
