Đề tài " Quasilinear and Hessian equations of Lane-Emden type " docx

... R n ; see Corollary 4.5 and Corollary 7.3 below. QUASILINEAR AND HESSIAN EQUATIONS 869 In the next two theorems we give criteria for the solvability of quasilinear and Hessian equations on the entire ...   P  sup x∈Q⊂P µ(Q) |Q| 1− αp n  q p−1 dx, Annals of Mathematics Quasilinear and Hessian equations of Lane-Emden type By Nguyen Cong Phuc and...

Ngày tải lên: 15/03/2014, 09:20

... than Λ/2. Sketch of the proof. We start with a variant of observation (b), proved in subsection 2.3: ENTROPY AND THE LOCALIZATION OF EIGENFUNCTIONS 447 (b  ) Let F ⊂ Σ be a σ-invariant set of topological ... choices of the endpoints of the intervals I k ; by our choice of n 1 , for N large enough this is less than e N Λδ 50 . (ii) Each I k can be split into a disjoint union...

Ngày tải lên: 06/03/2014, 08:21

... 1)m 1 m 2 m 3 max{m i } + m 1 m 2 + m 2 m 3 + m 1 m 3  . 338 KUO-CHANG CHEN 6. Proof of Main Theorems We begin with the proof of Theorem 1: Proof of Theorem 1. Assume m 3 =1,M = m 1 + m 2 + 1. Let F(m 1 ,m 2 ), G(m 1 ,m 2 ) ... on the existence of certain types of solutions to the planar three-body problem with various choices of masses. There is a natural way of classifying or...

Ngày tải lên: 29/03/2014, 07:20

... where ∗ stands for b, c or d. Let δ b (u g ), δ c (u g ) and δ d (u g ) be the number of entries (in the word u g )ofb, c and d respectively. Let D ε w (n) consist of the elements g of G such ... g(n  ) ≤ F 1 g 0 (n  ) and completes the proof of the lemma. Now we apply Lemma 6.4 to f(n)=f m (n) and this completes the proof of the theorem. BOUNDARY BEHAVIOR FOR GROUPS OF...

Ngày tải lên: 14/02/2014, 17:20

... causal and chronological future J + (S) and I + (S), and thereby, in a standard way, the domain of influence and domain of dependence of an achronal set S. Given (u, v) ∈ D(U), a solution of the ... of a right-I region (strictly to the future of the point of intersection of the right-I and the corresponding left-I region) and parametrize the u =0line segment by 0 ≤...

Ngày tải lên: 05/03/2014, 23:20

... F k = U p and L k = V p for some positive integers U and V . The proofs of both Lemmas 5.1 and 5.2 make use of Frey curves and level- lowering. Here and elsewhere where we make use of these tools, ... to apply the results of Bennett and Skinner. This completes our proof of Lemma 5.1. Proof of Lemma 5.2. Suppose that (n, y, p) is a solution to equation (5) with n = 0...

Ngày tải lên: 06/03/2014, 08:21

... neighborhoods of the origin U and U  , with ¯ U ⊂ U  , and real numbers s 1 and s 2 such that if ,   ∈ C ∞ 0 (U  ) with  =1on U and   =1in a neighborhood of the support of , and if for any ... Γ − α ]u≤C(Γ 0 α u s−1 + u −∞ ). Proof. Since γ 0 = 1 on a neighborhood of the support of the derivatives of γ + it also equals one on a neighborhood of the suppor...

Ngày tải lên: 22/03/2014, 20:20

... [16]. 1.3. Heuristics of the proof of Theorem 1.2. This section will provide a rough guide to the proof of Theorem 1.2, in which we extract some key ideas at the expense of full generality and full accuracy. ... and sufficiently large n. 2. Almost-harmonic maps — the proof of Theorem 1.2 The goal of this section is to understand the structure of maps whose tension field is smal...

Ngày tải lên: 28/03/2014, 22:20

... Linear and quasilinear equations of parabolic type. In particular, a theory of solvability of the basic boundary value problems for quasilinear, nondegenerate and uniformly elliptic and parabolic equations ... class="bi x0 y0 w2 h1 2" alt ="" PREFACE This monograph is devoted to the study of questions of solvability of main boundary value problems for degenerat...

Ngày tải lên: 31/05/2014, 01:37

... BÁCH KHOA HÀ NỘI VIỆN CÔNG NGHỆ THÔNG TIN VÀ TRUYỀN THÔNG * ĐỀ TÀI TIỂU LUẬN KIẾN TRÚC MÁY TÍNH TIÊN TIẾN TÊN ĐỀ TÀI Designing and Evaluating an I/O System—The Internet Archive Cluster Giảng ... xây dựng đồng thời một số đồng bộ hóa cơ bản hay sử dụng và sau đó chuyển sang sử dụng các vấn đề đa xử lý lớn hơn. 1. Cơ bản phần cứng nguyên thủy Là các khối xây dựng cơ bản được sử dụng...

Ngày tải lên: 29/12/2013, 11:17