Partially supported by National Science Foundation of China(11426195,11771377);Natural Science Foundation of Jiangsu Province(BK20191435)。
This paper deals with vanishing results for Lf^2 harmonic p-forms on complete metric measure spaces with a weighted p-Poincare inequality.Some results are without curvature assumptions for 1■p■n-1 and the others are...
Supported by the Natural Science Foundation of Fujian Province(2008J0187)
The authors examine the relation between the perturbed Cauchy singular integral with its kernel density belong to H* and unperturbed one and show that the Cauchy singular integral is stable under perturbation of the ...
Let G be a graph and A be a subset of the edges of G. A frame decomposition of G is a pair (G-A,A) such t ha t G-A is connected. A smooth frame decomposition of G is a frame decompo sition satisfying the two conditi...
Hanson and Mond have grven sets of necessary and sufficient conditions for optimality in constrained optimization by introducing classes of generalized functions, called type Ⅰ functions. Recently, Bector definded un...
In this paper,by using the tools of second order smooth module,we discusses the conformal mapping from a unit circle onto a simply connected domain enclosed by a smooth Jordan curve L ,and further improves the Kellog...
With an inequality and some analysis techniques,iterative approximation of fixed points for uniformly continuous and strongly pseudocontractive mappings in smooth Banach spaces is studied,and the recent corresponding ...
We introduce the notion of K-very smoothness which is a generalization of very smoothness in Banach spaces. A necessary and sufficient condition for a Banach space to be K-very smooth is obtained. We also consider som...
In this paper,we study the determinacy of real smooth map-germs and obtain severalresults about the sufficient condition and necessary condition of a special determinacy .and aboutthe exact order to determinacy.We als...
In this paper,we discuss a class of the quasillinear hyperbolic equations with the inhomogeneous terms: u_■+σ(v)+2α(t)u=0.v_■-u-0 Under the certain of hypothesis.we prove the globally existence theorems of the smo...