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221.
本文考虑一类含临界位势与临界参数的超线性椭圆型方程解的存在性.本文应用Morse理论,考虑非线性项f(x,s)在零点附近以及无穷远处的性质,给出了方程在某个新的Sobolev-Hardy空间中解的存在性. 相似文献
222.
The critical group C(G) of a graph G is a refinement of the number of spanning trees of the graph and is closely connected with the Laplacian matrix. Let r(G) be the minimum number of generators (i.e., the rank) of the group C(G) and β(G) be the number of independent cycles of G. In this paper, some forbidden induced subgraphs are given for r(G) = n − 3 and all graphs with r(G) = β(G) = n − 3 are characterized. 相似文献
223.
《Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire》2019,36(6):1575-1601
We studied the asymptotic behavior of local solutions for strongly coupled critical elliptic systems near an isolated singularity. For the dimension less than or equal to five we prove that any singular solution is asymptotic to a rotationally symmetric Fowler type solution. This result generalizes the celebrated work due to Caffarelli, Gidas and Spruck [1] who studied asymptotic proprieties to the classic Yamabe equation. In addition, we generalize similar results by Marques [12] for inhomogeneous context, that is, when the metric is not necessarily conformally flat. 相似文献
224.
In this paper, we investigate the asymptotic behaviors of the critical branching process with immigration {Z_n, n ≥ 0}. First we get some estimation for the probability generating function of Zn. Based on it, we get a large deviation for Z_(n+1)/Z_n. Lower and upper deviations for Zn are also studied. As a by-product, an upper deviation for max_(1≤i≤n) Z_i is obtained. 相似文献
225.
Florin Catrina 《Journal of Differential Equations》2005,215(1):19-36
In this paper, we discuss positive solutions for certain weighted elliptic equations with critical Sobolev exponent in RN. The weights depend on a positive parameter γ, which is allowed to increase to infinity. While for small values of γ solutions are completely classified, an attempt to such a classification is much more difficult for large values of the parameter. In the present work we prove the nonexistence of solutions with bounded energy as γ increases to infinity. We also prove a multiplicity result for high energy solutions. 相似文献
226.
This paper deals with best rational approximation of prescribed McMillan degree to matrix-valued functions in the real Hardy
space of the complement of the unit disk endowed with the Frobenius L
2
-norm. We describe the topological structure of the set of approximants in terms of inner-unstable factorizations. This allows
us to establish a two-sided tangential interpolation equation for the critical points of the criterion, and to prove that
the rank of the error F-H is at most k-n when F is rational of degree k , and H is critical of degree n . In the particular case where k=n , it follows that H=F is the unique critical point, and this entails a local uniqueness result when approximating near-rational functions.
January 23, 1996. Date revised: September 16, 1996. 相似文献
227.
非线性时滞差分方程的线性化振动性 总被引:1,自引:0,他引:1
本文分临界和非临界两种情形,建立了非线性时滞差分方程与其线性化方程振动性等价定理,推广和改进已有的工作.作为推论,修正了文[2]中主要定理的错误. 相似文献
228.
M.T. Batchelor D. Bennett-Wood A.L. Owczarek 《The European Physical Journal B - Condensed Matter and Complex Systems》1998,5(1):139-142
We provide general formulae for the configurational exponents of an arbitrary polymer network connected to the surface of
an arbitrary wedge of the two-dimensional plane, where the surface is allowed to assume a general mixture of boundary conditions
on either side of the wedge. We report on a comprehensive study of a linear chain by exact enumeration, with various attachments
of the walk's ends to the surface, in wedges of angles and , with general mixed boundary conditions.
Received: 20 October 1997 / Accepted: 13 May 1998 相似文献
229.
We present a coupled decreasing sequence of random walks on Z that dominate the edge process of oriented bond percolation in two dimensions. Using the concept of random walk in a strip, we describe an algorithm that generates an increasing sequence of lower bounds that converges to the critical probability
of oriented percolation pc. From the 7th term on, these lower bounds improve upon 0.6298, the best rigorous lower bound at present, establishing 0.63328
as a rigorous lower bound for pc. Finally, a Monte Carlo simulation technique is presented; the use thereof establishes 0.64450 as a non-rigorous five-digit-precision (lower) estimate
for pc.
Mathematics Subject Classification (1991): 60K35
Supported by CNPq (grant N.301637/91-1).
Supported by a grant from CNPq. 相似文献
230.
Wai Shun Cheung 《Journal of Mathematical Analysis and Applications》2006,319(2):690-707
In this paper, we introduce a new type of companion matrices, namely, D-companion matrices. By using these D-companion matrices, we are able to apply matrix theory directly to study the geometrical relation between the zeros and critical points of a polynomial. In fact, this new approach will allow us to prove quite a number of new as well as known results on this topic. For example, we prove some results on the majorization of the critical points of a polynomial by its zeros. In particular, we give a different proof of a recent result of Gerhard Schmeisser on this topic. The same method allows us to prove a higher order Schoenberg-type conjecture proposed by M.G. de Bruin and A. Sharma. 相似文献