共查询到20条相似文献,搜索用时 31 毫秒
1.
We show that for the symmetric spaces and the cuspidal integrals are absolutely convergent. We further determine the behavior of the corresponding Radon transforms and relate the kernels of the Radon transforms to the different series of representations occurring in the Plancherel decomposition of these spaces. Finally we show that for the symmetric space the cuspidal integrals are not convergent for all Schwartz functions. 相似文献
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This paper investigates the existence and asymptotic behavior of nodal solutions to the following gauged nonlinear Schrödinger equation where , and is the so-called Chern–Simons term. We prove that for any positive integer k, the problem has a sign-changing solution which changes sign exactly k times. Moreover, the energy of is strictly increasing in k, and for any sequence , there exists a subsequence , such that converges in to as , where also changes sign exactly k times and solves the following equation 相似文献
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In this paper we consider a diffusion system with the Belousov–Zhabotinskii (BZ for short) chemical reaction. Following Brazhnik and Tyson [4] and Pérez-Muñuzuri et al. [45], who predicted V-shaped fronts theoretically and discovered V-shaped fronts by experiments respectively, we give a rigorous mathematical proof of their results. We establish the existence of V-shaped traveling fronts in by constructing a proper supersolution and a subsolution. Furthermore, we establish the stability of the V-shaped front in . 相似文献
6.
We establish tight bounds on the benefit of preemption with respect to the norm minimization objective for identical machines and for two uniformly related machines (based on their speed ratio). This benefit of preemption is the supremum ratio between the optimal costs of non-preemptive and preemptive schedules. 相似文献
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Leonid Berlyand Dmitry Golovaty Oleksandr Iaroshenko Volodymyr Rybalko 《Journal of Differential Equations》2018,264(2):1317-1347
We consider a two-dimensional Ginzburg–Landau problem on an arbitrary domain with a finite number of vanishingly small circular holes. A special choice of scaling relation between the material and geometric parameters (Ginzburg–Landau parameter vs. hole radius) is motivated by a recently discovered phenomenon of vortex phase separation in superconducting composites. We show that, for each hole, the degrees of minimizers of the Ginzburg–Landau problems in the classes of -valued and -valued maps, respectively, are the same. The presence of two parameters that are widely separated on a logarithmic scale constitutes the principal difficulty of the analysis that is based on energy decomposition techniques. 相似文献
9.
Amdeberhan conjectured that the number of -core partitions with distinct parts for an odd integer is . This conjecture was first proved by Yan, Qin, Jin and Zhou, then subsequently by Zaleski and Zeilberger. Since the formula for the number of such core partitions is so simple one can hope for a bijective proof. We give the first direct bijective proof of this fact by establishing a bijection between the set of -core partitions with distinct parts and a set of lattice paths. 相似文献
10.
In this article, we study the multiplicity and concentration behavior of positive solutions for the p-Laplacian equation of Schrödinger-Kirchhoff type
in
, where Δp is the p-Laplacian operator, 1 < p < N, M:
and V:
are continuous functions, ε is a positive parameter, and f is a continuous function with subcritical growth. We assume that V satisfies the local condition introduced by M. del Pino and P. Felmer. By the variational methods, penalization techniques, and Lyusternik-Schnirelmann theory, we prove the existence, multiplicity, and concentration of solutions for the above equation. 相似文献
11.
Marshall A. Whittlesey 《Mathematische Annalen》2000,317(4):677-701
We say that a subset of is hypoconvex if its complement is the union of complex hyperplanes. Let be the closed unit disk in , . We prove two conjectures of Helton and Marshall. Let be a smooth function on whose sublevel sets have compact hypoconvex fibers over . Then, with some restrictions on , if Y is the set where is less than or equal to 1, the polynomial convex hull of Y is the union of graphs of analytic vector valued functions with boundary in Y. Furthermore, we show that the infimum is attained by a unique bounded analytic f which in fact is also smooth on . We also prove that if varies smoothly with respect to a parameter, so does the unique f just found.
Received: 18 December 1998 / Published online: 28 June 2000 相似文献
12.
Henri Heinich 《Comptes Rendus Mathematique》2002,334(9):793-795
In this Note, we generalize Gangbo–Swiech theorem for the Monge–Kantorovich problem. We study this problem for Orlicz and Köthe spaces when the function c has the form convex on To cite this article: H. Heinich, C. R. Acad. Sci. Paris, Ser. I 334 (2002) 793–795. 相似文献
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Moulay Youssef Barkatou 《Journal of Geometric Analysis》2000,10(2):219-241
In this paper a new explicit integral formula is derived for solutions of the tangential Cauchy-Riemann equations on CR q-concave
manifolds and optimal estimates in the Lipschitz norms are obtained. 相似文献
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Let and be graphs of order . The number of common cards of and is the maximum number of disjoint pairs , where and are vertices of and , respectively, such that . We prove that if the number of common cards of and is at least then and must have the same number of edges when . This is the first improvement on the -year-old result of Myrvold that if and have at least common cards then they have the same number of edges. It also improves on the result of Woodall and others that the numbers of edges of and differ by at most when they have common cards. 相似文献
16.
We give a -approximation algorithm for minimizing total weighted completion time on a single machine under release time and precedence constraints. This settles a recent conjecture on the approximability of this scheduling problem (Skutella, 2016). 相似文献
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Robert K. Hladky 《Journal of Geometric Analysis》2006,16(2):295-318
We adapt the results of Part 1 to include the unit ball in the Heisenberg group, the model domain with characteristic boundary
points. In particular, we construct function spaces on which the Kohn Laplacian with the
boundary conditions is an isomorphism. As an application, we establish sharp regularity for a canonical solution to the inhomogenous
equation on the unit ball. 相似文献
18.
The $
\bar \partial
$
\bar \partial
-closed differential forms with smooth coefficients are studied in the closure of a bounded domain D ⊂ ℂ
n
. It is demonstrated that the condition of $
\bar \partial
$
\bar \partial
-closedness can be replaced with a weaker differential condition in the domain and differential conditions on the boundary.
In particular, for the forms with harmonic coefficients the $
\bar \partial
$
\bar \partial
-closedness is equivalent to some boundary relations. This allows us to treat the results as conditions for the $
\bar \partial
$
\bar \partial
-closedness of an extension of a form from the boundary. 相似文献
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Yizao Wang 《Stochastic Processes and their Applications》2018,128(9):2979-3005
Two limit theorems are established on the extremes of a family of stationary Markov processes, known as -Ornstein–Uhlenbeck processes with . Both results are crucially based on the weak convergence of the tangent process at the lower boundary of the domain of the process, a positive self-similar Markov process little investigated so far in the literature. The first result is the asymptotic excursion probability established by the double-sum method, with an explicit formula for the Pickands constant in this context. The second result is a Brown–Resnick-type limit theorem on the minimum process of i.i.d. copies of the -Ornstein–Uhlenbeck process: with appropriate scalings in both time and magnitude, a new semi-min-stable process arises in the limit. 相似文献