Boundedness of extremal solutions in dimension 4
نویسندگان
چکیده
منابع مشابه
Extremal Graphs of Order Dimension 4
We will examine the maximal number of edges of a graph on p vertices of order dimension 4. We will show that the lower bound for this number is greater than 3 8 p 2 + 2p − 13. In particular the Turán-4 graph on p vertices does not have the maximal number of edges among the graphs of order dimension 4.
متن کاملExtremal Manifolds and Hausdorff Dimension
The best possible lower bound for the Hausdorff dimension of the set of v-approximable points on a C extremal manifold is obtained.
متن کاملExtremal problems under dimension constraints
The aim of this paper is to systematically present an area of extremal problems under dimension constraints. We state conjectures and solutions for many of these problems. Proofs will be given in several papers, each devoted to a specific problem.
متن کاملInstitute for Mathematical Physics Extremal Manifolds and Hausdorr Dimension Extremal Manifolds and Hausdorff Dimension
The best possible lower bound for the Hausdorr dimension of the set of v-approximable points on a C 1 extremal manifold is obtained.
متن کاملBoundedness of solutions for sublinear reversible systems
In this paper we will study the boundedness of all solutions for second-order differential equations ẍ+ f(x)ẋ+ λx+ g(x) = p(t), where λ ∈ R and g(x) satisfies the sublinear growth condition. Since the system in general is non-Hamiltonian, we have to introduce reversibility assumptions to apply the twist theorem for reversible mappings. Under some suitable conditions we then obtain the existence...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2013
ISSN: 0001-8708
DOI: 10.1016/j.aim.2012.11.015