http://thuvienso.thanglong.edu.vn//handle/TLU/13223 2026-04-09T23:20:34Z http://thuvienso.thanglong.edu.vn//handle/TLU/13270 Nhan đề : Degeneracy theorems for holomorphic mappings from a complex disc with finite growth index Tác giả : Nguyen Thi Nhung Tóm tắt : Abstract. In this paper, we prove degeneracy theorems for holomorphic mappings from a complex disc Δ(R) ⊂ C with finite growth index into Pn(C) sharing hyperplanes in general position. We further consider the case that intersecting points of the mappings and the hyperplanes with multiplicities more than a certain number do not need to be counted. These results generalize the previous degeneracy theorems for meromorphic mappings from Cm into Pn(C). 2024-01-01T00:00:00Z http://thuvienso.thanglong.edu.vn//handle/TLU/13269 Nhan đề : On the equilibrium prices of a regular locally Lipschitz exchange economy Tác giả : Truong Xuan Duc Tóm tắt : We extend classical results by Debreu and Dierker about equilibrium prices of a regular economy with continuously differentiable demand functions/excess demand function to a regular exchange economy with these functions being locally Lipschitz. Our concept of a regular economy is based on Clarke’s concept of regular value and we show that such a regular economy has a finite, odd number of equilibrium prices, the set of economies with infinite number of equilibrium prices has Lebesgue measure zero and there exist locally Lipschitz selections of equilibrium prices around a regular economy. Bài báo/Newspaper 2024-01-01T00:00:00Z http://thuvienso.thanglong.edu.vn//handle/TLU/13267 Nhan đề : Uniqueness of meromorphic mappings partially shared hypersurfaces Tác giả : Nguyen Van Thin Tóm tắt : The purpose of this paper is to study uniqueness problem of meromorphic mapping from Cm into the complex space Pn(C) sharing partial fixed and moving hypersurfaces. Using the second main theorems due to S. D. Quang and D. P. An [12, 13], we obtain some uniqueness results. Our results are improved some before results in this trend. In our best knowledge, there are not any uniqueness results of meromorphic mapping partially shared hypersurfaces up to now. Bài báo/Newspaper 2024-01-01T00:00:00Z http://thuvienso.thanglong.edu.vn//handle/TLU/13266 Nhan đề : On the real-analytic infinitesimal cr automorphism of hypersurfaces of infinite type Tác giả : Ninh Van Thu Tóm tắt : We consider a real smooth hypersurface M ⊂ C2, which is of D’Angelo infinite type at p 2 M. The purpose of this paper is to show that the real vector space of tangential holomorphic vector field germs at p vanishing at p is either trivial or of real dimension 1 Bài báo/Newspaper 2024-01-01T00:00:00Z