共查询到20条相似文献,搜索用时 437 毫秒
1.
Wang Junyu 《数学年刊B辑(英文版)》1994,15(3):283-292
The author demonstrate that the two-point boundary value problem {p′(s)=f′(s)-λp^β(s)for s∈(0,1);β∈(0,1),p(0)=p(1)=0,p(s)>0 if s∈(0,1),has a solution(λ^-,p^-(s)),where |λ^-| is the smallest parameter,under the minimal stringent restrictions on f(s), by applying the shooting and regularization methods. In a classic paper, Kohmogorov et.al.studied in 1937 a problem which can be converted into a special case of the above problem. The author also use the solution(λ^-,p^-(s)) to construct a weak travelling wave front solution u(x,t)=y(ξ),ξ=x-Ct,C=λ^-N/(N+1),of the generalized diffusion equation with reaction δ/δx(k(u)|δu/δx|^n-1 δu/δx)-δu/δt=g(u),where N>0,k(s)>0 a.e.on(0,1),and f(a):=n+1/N∫0ag(t)k^1/N(t)dt is absolutely continuous ou[0,1],while y(ξ) is increasing and absolutely continuous on (-∞,+∞) and (k(y(ξ))|y′(ξ)|^N)′=g(y(ξ))-Cy′(ξ)a.e.on(-∞,+∞),y(-∞)=0,y(+∞)=1. 相似文献
2.
研究奇异拟线性椭圆型方程{-div(|x|~(-ap)|▽u|~(p-2)▽u) + f(x)|u|~(p-2) = g(x)\u|~(q-2)u + λh(x)|u|~(r-2),x R~N,u(x) 0,x∈ R~N,其中λ0是参数,1pN(N3),1rpgp*=0a(N—p)/p,p*=Np/{N~pd),aa+l,d=a+l-60,权函数f(x),g(x),h(x)满足一定的条件.利用山路引理和Ekeland变分原理证明了问题至少有两个非平凡的弱解. 相似文献
3.
Abstract. The existence of positive radial solutions to the systems of 相似文献
4.
F. Brock V. Ferone B. Kawohl 《Calculus of Variations and Partial Differential Equations》1996,4(6):593-599
Let be a ball in N, centered at zero, and letu be a minimizer of the nonconvex functional
over one of the classesC
M
:= {w W
loc
1,
() 0 w(x) M in,w concave} orE
M
:= {w W
loc
1,2
() 0 w(x) M in,w
0 inL()}of admissible functions. Thenu is not radial and not unique. Therefore one can further reduce the resistance of Newton's rotational body of minimal resistance through symmetry breaking. 相似文献
5.
奇异半线性发展方程的局部Cauchy问题 总被引:9,自引:1,他引:8
本文在Banach空间E中讨论如下问题dudt+1tσAu=J(u),0<tT,limt→0+u(t)=0,其中u:(0,T]E,A是与t无关的线性算子.(-A)是E上C0半群{T(t)}t0的无穷小生成元,常数σ1,J是一个非线性映射EJ→E.它满足局部Lipschitz条件.我们证明了当其Lipschitz常数l(r)满足一定条件时.问题(S)有局部解,且在某函类中解唯一.设J(u)=|u|γ-1u+f(x)(γ>1),E=Lp,EJ=Lpγ时得到了与Weisler[2]在非奇异情形类似的结果. 相似文献
6.
We prove that on a closed, smooth, convex surface of revolution , whose poles are not flattening points, there exists only a countable set of parallels n. Each of these parallels cuts surface into two parts so that one of the parts,
, admits nontrivial, infinitesimal bendings in the process of which all the points of its boundary n are displaced on a preassigned, conic sleeve K that is coaxial with the surface. The sequence of such parallels n converges to parallel *, which has the following properties: 1) the tangent cone to surface along * is orthogonal to sleeve K; 2) surface
, cut off from surface by parallel *, has rigidity of first order in the indicated class of bendings.Translated from Ukrainskii Geometricheskii Sbornik, No. 33, pp. 3–8, 1990. 相似文献
7.
A. M. Protopopov 《Algebra and Logic》2003,42(4):279-286
We study into the question of whether a partial order can be induced from a partially right-ordered group
onto a space
of right cosets of
w.r.t. some subgroup
of
. Examples are constructed showing that the condition of being convex for
in
is insufficient for this. A necessary and sufficient condition (in terms of a subgroup
and a positive cone
of
) is specified under which an order of
can be induced onto
. Sufficient conditions are also given. We establish properties of the class of partially right-ordered groups
for which
is partially ordered for every convex subgroup
, and properties of the class of groups such that
is partially ordered for every partial right order
on
and every subgroup
that is convex under
. 相似文献
8.
Roshdi Khalil 《Annali di Matematica Pura ed Applicata》1990,157(1):245-249
Summary In this note we prove that: if T is a contraction in L(lp) that maps elements of disjoint support to elements of disjoint support, then T is an extreme point of the unit ball of L(lp), 1
i) form a p-orthonormal sequence or the nonzero elements of (yi) form a p-orthonormal sequence for which supp (yi)=N. 相似文献
9.
GLOBAL CLASSICAL SOLUTIONS TO QUASILINEAR HYPERBOLIC SYSTEMS WITH WEAK LINEAR DEGENERACY 总被引:10,自引:1,他引:9 下载免费PDF全文
ZHOU Yi 《数学年刊B辑(英文版)》2004,25(1):37-56
§1. Introduction and Main Results Consider the following ?rst order quasilinear strictly hyperbolic system ?u ?u A(u) = 0, (1.1) ?t ?xwhere u = (u1, ···,un)T is the unknown vector function of (t,x) and A(u) is an n×n matrixwith suitably smooth elements aij(u) (i,j = 1, ···,n). By the de?nition … 相似文献
10.
Wenpeng Zhang 《Acta Mathematica Hungarica》1998,78(4):345-357
Let p be an odd prime. For each integer a with x < a x + u and (a,p) = 1, we define by a 1 (mod p) and 1 p - 1. Let r(p,u,x) be the number of integers with x < a x + u and (a,p) = 1 for which a and are of opposite parity, and let E(n,u,x) = r(n,u,x) - 1/2
1, where
denotes summation over all a such that (a,p) = 1. The main purpose of this paper is to prove that for any positive integer 1 u
we have the asymptotic formula
. 相似文献
11.
M. A. Prokhorovich 《Mathematical Notes》2007,82(1-2):88-95
Let (X, μ, d) be a space of homogeneous type, where d and p are a metric and a measure, respectively, related to each other by the doubling condition with γ > 0. Let W α p (X) be generalized Sobolev classes, let Capα p (where p > 1 and 0 < α ≤ 1) be the corresponding capacity, and let dimH be the Hausdorff dimension. We show that the capacity Capα p is related to the Hausdorff dimension; we also prove that, for each function u ∈ W α/p (X), p > 1, 0 < a < γ/p, there exists a set E ? X such that dim H (E) ≤ γ - αp, the limit $$\mathop {\lim }\limits_{r \to + 0} \frac{1}{{\mu (B(x,r))}}\int_{B(x,r)} {u d\mu = u * (x)} $$ exists for each x ∈ X\E, and moreover $$\mathop {\lim }\limits_{r \to + 0} \frac{1}{{\mu (B(x,r))}}\int_{B(x,r)} {\left| {u - u * (x)} \right|^q d\mu = 0, \frac{1}{q} = \frac{1}{p} - \frac{\alpha }{\gamma }.} $$ . 相似文献
12.
讨论了一类具有奇异系数的p-Laplace问题-Δpu-μ|u|u|x|p=u|x|tu+λuq-2u,x∈Ω,u=0,x∈Ω无穷多解的存在性,其中N≥3,Ω是RN中一有界光滑区域,0∈Ω,Δpu=-div(|▽u|p-2▽u),0≤μ<μ=(N-p)ppp,1
0,1相似文献
13.
Summary We investigate the homogeneous Dirichlet problem in H2,p for a second order elliptic partial differential equation in nondivergence form Lu=f in the case in which the leading coefficients of L belong to H1,n(), Rn. We prove that if p belongs to a suitable neighbourhood of 2, then the above problem, has a unique solution u satisfying D2up Cfp; furthermore, if f Hk,p, k=1,2, ..., and the coefficients of L satisfy some natural conditions, then the solution satisfies
.Lavoro eseguito nell'ambito del gruppi 40% e 60% del M.P.I. 相似文献
14.
Yasuhiro Fujita 《Annals of the Institute of Statistical Mathematics》1993,45(2):361-365
In a recent article Pillai (1990,Ann. Inst. Statist. Math.,42, 157–161) showed that the distribution 1–E
(–x
), 0<1; 0x, whereE
(x) is the Mittag-Leffler function, is infinitely divisible and geometrically infinitely divisible. He also clarified the relation between this distribution and a stable distribution. In the present paper, we generalize his results by using Bernstein functions. In statistics, this generalization is important, because it gives a new characterization of geometrically infinitely divisible distributions with support in (0, ). 相似文献
15.
Infinitely many low- and high-energy solutions for a class of elliptic equations with variable exponent 下载免费PDF全文
This paper is concerned with the $p(x)$-Laplacian equation of the form
$$
\left\{\begin{array}{ll}
-\Delta_{p(x)} u=Q(x)|u|^{r(x)-2}u, &\mbox{in}\ \Omega,\u=0, &\mbox{on}\ \partial \Omega,
\end{array}\right. \eqno{0.1}
$$
where $\Omega\subset\R^N$ is a smooth bounded domain, $1
p^+$ and $Q: \overline{\Omega}\to\R$ is a nonnegative continuous function. We prove that (0.1) has infinitely many small solutions and infinitely many large solutions by using the Clark''s theorem and the symmetric mountain pass lemma. 相似文献
16.
Nelson Nery de Oliveira Castro 《Applications of Mathematics》1997,42(6):411-420
We prove existence and asymptotic behaviour of a weak solutions of a mixed problem for
where A is the pseudo-Laplacian operator. 相似文献
17.
Dynamical systems in R
n
of the formR
n
of the form
that admit normal shift of submanifolds of codimension 1 are considered. The concept of weak normality for such systems is defined, and defining partial differential equations for the force function
of dynamical systems with the properties of weak and complete normality are derived.Bashkir State University. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 100, No. 2, pp. 264–269, August, 1994. 相似文献
18.
Converse theorems for multidimensional Kantorovich operators 总被引:4,自引:0,他引:4
Ding -Xuan Zhou 《Analysis Mathematica》1993,19(1):85-100
L
p
[0, l]. . . - .
Supported by National Science Foundation, Zhejiang Provincial Science Foundation of China, and Alexander von Humboldt Foundation of Germany. 相似文献
Supported by National Science Foundation, Zhejiang Provincial Science Foundation of China, and Alexander von Humboldt Foundation of Germany. 相似文献
19.
Let n
i
,m
j
> 1. In [5], the sperical noncommutative torus
was defined by twisting
in
by a totally skew multiplier p on
for T
pd
a pd-homogeneous C*-algebra over
. It is shown that
is strongly Morita equivalent to
.
This work is supported by Grant No. 1999-2-102-001-3 from the interdisciplinary research program year of the KOSEF 相似文献
20.
The following classes of functions analytic in the unit disk are considered:
and
where
is the Nevanlinna characteristic and
is a properly changing positive function on (0,1]. Necessary and sufficient conditions on
are established under which the classes
and
are invariant under the operators of differentiation and integration. Bibliography: 7 titles. 相似文献