A numerical investigation of level sets of extremal Sobolev functions

Singular sets of Sobolev functions

a contrastive study of rhetorical functions of citation in iranian and international elt scopus journals

writing an academic article requires the researchers to provide support for their works by learning how to cite the works of others. various studies regarding the analysis of citation in m.a theses have been done, while little work has been done on comparison of citations among elt scopus journal articles, and so the dearth of research in this area demands for further investigation into citatio...

On the Extremal Functions of Sobolev-poincaré Inequality

where ua = 1 vol(Mn) ∫ Mn u, p∗ = np/(n − p) is the Sobolev conjugate of p. This inequality can be proved by combining Sobolev inequality with Poincaré inequality, see, for example, Hebey’s book [8]. In this paper we are interested in the estimates of the best constant and the existence of extremal functions to the above inequality. Analytically these are naturally motivated questions. On the o...

the investigation of the relationship between type a and type b personalities and quality of translation

چکیده ندارد.

Extremal Functions for Shortening Sets of Paths

Let P1, . . . , Pk be k vertex disjoint paths in a graph G where the ends of Pi are xi, and yi. Let H be the subgraph induced by the vertex sets of the paths. We find edge bounds E1(n), E2(n) such that, 1. If e(H) ≥ E1(|V (H)|), then there exist disjoint paths P ′ 1, . . . , P ′ k where the ends of P ′ i are xi and yi such that | S