Recently, the general width-integral of index i was introduced and some of its isoperimetric inequalities were established. In this paper, we establish some new Brunn-Minkowski type inequalities for general width-inte...Recently, the general width-integral of index i was introduced and some of its isoperimetric inequalities were established. In this paper, we establish some new Brunn-Minkowski type inequalities for general width-integral of index i.展开更多
Lutwak proved the Brunn-Minkowski inequality for the quermassintegrals of Fiery Lρ-combination. Wang and Leng gave the Brunn-Minkowski inequality for the dual quermassintegrals of Lρ-harmonic radial combination. In ...Lutwak proved the Brunn-Minkowski inequality for the quermassintegrals of Fiery Lρ-combination. Wang and Leng gave the Brunn-Minkowski inequality for the dual quermassintegrals of Lρ-harmonic radial combination. In the paper, we establish the isolate forms of the Brunn-Minkowski inequality for quermassintegrals and dual quermassintegrals,respectively.展开更多
The aim of this work is to emphasize the importance of a differential diagnosis of von Brunn’s nests in cats from other urothelial neoplastic disorders, as transitional cell carcinoma, for a subsequent optimal care. ...The aim of this work is to emphasize the importance of a differential diagnosis of von Brunn’s nests in cats from other urothelial neoplastic disorders, as transitional cell carcinoma, for a subsequent optimal care. Von Brunn’s nests and cysts are submucosal benign urothelial processes, related to irritative stimuli (calculi and urinary infections), characterized by an invagination with buds and clusters of normal urothelium in the lamina propria. They are common findings in the urinary bladder of human beings, but few cases have been described in dogs and cats. We report macroscopic, histopathological and, in one case, immunohistochemical features of these rare forms in the left ureters of two cats. Macroscopic evidence during surgery of ureteral nodules in two cats was accompanied by histopathological diagnosis and, in one case, by immunohistochemical assessment. Histopathology was coherent with a rare condition characterized by nests and islands of normal urothelium in the lamina propria and submucosa, with formation of cysts and moderate focal subacute inflammation. In one case epithelial cells of the nests showed well differentiated urothelial cells with an intense immunoreactivity to pan-cytokeratin (CK AE1/AE3), CK19 in the first outer layers, a slight immunoreactivity to CK20 and a low proliferative activity using MIB-1 (Ki67).展开更多
In this paper, we investigate the following elliptic problem involving the P- Laplacian where p 〉 1,0 〈 q 〈 p- 1, K R^n with K∈K^n and prove that the energy integral of the problem （P） satisfies a Brunn-Minkows...In this paper, we investigate the following elliptic problem involving the P- Laplacian where p 〉 1,0 〈 q 〈 p- 1, K R^n with K∈K^n and prove that the energy integral of the problem （P） satisfies a Brunn-Minkowski type inequality.展开更多
基金Supported by Natural Scientific Research Project of Guizhou Provincial Education Department (2007084)Kaili University (Z1013)the Key Discipline Construction Project of Kaili University (KZD2009001)
基金Supported by the Scientific Planning of Education of Gansu Province(GS[2017]GHBZ051)Introduction and Use of Open Online Courses of Gansu Province(2016-47)
文摘Recently, the general width-integral of index i was introduced and some of its isoperimetric inequalities were established. In this paper, we establish some new Brunn-Minkowski type inequalities for general width-integral of index i.
基金Supported by the Natural Science Foundation of China(10671117)Supported by the Science Foundation of China Three Gorges University
文摘Lutwak proved the Brunn-Minkowski inequality for the quermassintegrals of Fiery Lρ-combination. Wang and Leng gave the Brunn-Minkowski inequality for the dual quermassintegrals of Lρ-harmonic radial combination. In the paper, we establish the isolate forms of the Brunn-Minkowski inequality for quermassintegrals and dual quermassintegrals,respectively.
文摘The aim of this work is to emphasize the importance of a differential diagnosis of von Brunn’s nests in cats from other urothelial neoplastic disorders, as transitional cell carcinoma, for a subsequent optimal care. Von Brunn’s nests and cysts are submucosal benign urothelial processes, related to irritative stimuli (calculi and urinary infections), characterized by an invagination with buds and clusters of normal urothelium in the lamina propria. They are common findings in the urinary bladder of human beings, but few cases have been described in dogs and cats. We report macroscopic, histopathological and, in one case, immunohistochemical features of these rare forms in the left ureters of two cats. Macroscopic evidence during surgery of ureteral nodules in two cats was accompanied by histopathological diagnosis and, in one case, by immunohistochemical assessment. Histopathology was coherent with a rare condition characterized by nests and islands of normal urothelium in the lamina propria and submucosa, with formation of cysts and moderate focal subacute inflammation. In one case epithelial cells of the nests showed well differentiated urothelial cells with an intense immunoreactivity to pan-cytokeratin (CK AE1/AE3), CK19 in the first outer layers, a slight immunoreactivity to CK20 and a low proliferative activity using MIB-1 (Ki67).
基金supported by Natural Science Foundation of China (10671064)Scientific Research Fund of Hunan Provincial Education Department (06C516)Excellent Youth Programm of Hunan Normal University (080640)
文摘In this paper, we investigate the following elliptic problem involving the P- Laplacian where p 〉 1,0 〈 q 〈 p- 1, K R^n with K∈K^n and prove that the energy integral of the problem （P） satisfies a Brunn-Minkowski type inequality.
