共查询到20条相似文献，搜索用时 31 毫秒
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2.
Massimo Grossi 《NoDEA : Nonlinear Differential Equations and Applications》2005,12(2):227-241
Let Ω be a smooth bounded domain of
with N ≥ 5. In this paper we prove, for ɛ > 0 small, the nondegeneracy of the solution of the problem
under a nondegeneracy condition on the critical points of the Robin function. Our proof uses different techniques with respect
to other known papers on this topic. 相似文献
3.
We prove that if f belongs to the Morrey space
, with λ ∊ [0, n−2], and u is the solution of the problem
then Du belongs to the space
, for any
Mathematics Subject Classification (2000) 35J25, 35D10 相似文献
4.
Shuang-jie Peng 《应用数学学报(英文版)》2006,22(1):137-162
Abstract Let Ω be the unit ball centered at the origin in
. We study the following problem
By a constructive argument, we prove that for any k = 1, 2, • • •, if ε is small enough, then the above problem has positive a solution uε concentrating at k distinct points which tending to the boundary of Ω as ε goes to 0+. 相似文献
5.
MingXiong 《应用数学学报(英文版)》2004,20(4):665-674
Some results concerning existence of positive solutions for the singular boundary value problems u^(4)(t)=f(t,u(t)) t∈（0,1) u(0)=u(1)=0 u‘(0)=u‘(1)=0 have been given, where f(t, x) may be singular at t = 0, 1. 相似文献
6.
The aim of this paper is to study the well-posedness of the initial-boundary value problem
where
is a bounded regular open domain in
is the outward normal to
and
, where
are pairwise disjoint measurable subsets of
with respect to Lebesgue surface measure on
. The main novelty lies on the reactive dynamical boundary condition imposed on
. The technique makes it possible to study the more general initial-boundary value problem
where
is as before and
. A key step in our analysis consists in studying the eigenvalue problem
相似文献
7.
Yisheng Song 《Positivity》2009,13(4):643-655
In this paper, for a Lipschitz pseudocontractive mapping T, we study the strong convergence of iterative schemes generated by
, where f is a Lipschitz strong pseudocontractive mapping and {βn}, {αn} satisfy (i); (ii) ; (iii).
相似文献
8.
We develop structural formulas satisfied by some families of orthogonal matrix polynomials of size 2 × 2 satisfying second-order
differential equations with polynomial coefficients. We consider here three one-parametric families of weight matrices, namely,
and
and their corresponding orthogonal polynomials. We also show that the orthogonal polynomials with respect to the second family
are eigenfunctions of two linearly independent second-order differential operators. 相似文献
9.
Xiu Hui YANG Fu Cai LI Chun Hong XIE 《数学学报(英文版)》2005,21(4):923-928
Abstract In this paper, we investigate the positive solutions of strongly coupled nonlinear parabolic systems with nonlinear boundary conditions： {ut-a（u, v）△u=g（u, v）, vt-b（u, v）△v=h（u, v）, δu/δη=d（u, v）, δu/δη=f（u, v）.Under appropriate hypotheses on the functions a, b, g, h, d and f, we obtain that the solutions may exist globally or blow up in finite time by utilizing upper and lower solution techniques. 相似文献
10.
Giovanni Anello 《Monatshefte für Mathematik》2011,185(2):1-18
We study the behavior of positive solutions of the following Dirichlet problem
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$
\left \{ {ll} -\Delta_{p}u=\lambda u^{s-1}+u^{q-1} &\quad {\rm in}
\enspace \Omega \\ u_{\mid\partial \Omega}=0
\right. $
\left \{ \begin{array}{ll} -\Delta_{p}u=\lambda u^{s-1}+u^{q-1} &\quad {\rm in}
\enspace \Omega \\ u_{\mid\partial \Omega}=0 \end{array}
\right. 相似文献
11.
§ 1 IntroductionRecently,certain three-point boundary value problems for nonlinear ordinarydifferential equations have been studied by many authors[1— 6] .However,few papers havebeen published on the same problems for nonlinear functional differential equations.In thispaper,we are concerned with the following second order differential equation with anadvanced argumentu″(t) +λa(t) f(u(h(t) ) ) =0 ,t∈ (0 ,1 ) (1 .1 )with the three-point boundary conditionsu(0 ) =0 ,αu(η) =u(1 ) ,(1 .2 )… 相似文献
12.
De Li LI Andrew ROSALSKY Andrei VOLODIN 《数学学报(英文版)》2007,23(4):599-612
For a sequence of i.i.d. Banach space-valued random variables {Xn; n ≥ 1} and a sequence of positive constants {an; n ≥ 1}, the relationship between the Baum-Katz-Spitzer complete convergence theorem and the law of the iterated logarithm is investigated. Sets of conditions are provided under which
（i） lim sup n→∞ ｜｜Sn｜｜/an〈∞ a.s.and
∞ ∑n=1（1/n）P（｜｜Sn｜｜/an ≥ε〈∞for all ε 〉 λ for some constant λ ∈ [0, ∞） are equivalent;
（ii） For all constants λ ∈ [0, ∞）,
lim sup ｜｜Sn｜｜/an =λ a.s.and ^∞∑ n=1（1/n） P（｜｜Sn｜｜/an ≥ε）{〈∞, if ε〉λ =∞,if ε〈λare equivalent. In general, no geometric conditions are imposed on the underlying Banach space. Corollaries are presented and new results are obtained even in the case of real-valued random variables. 相似文献
13.
Konrad Gröger Lutz Recke 《NoDEA : Nonlinear Differential Equations and Applications》2006,13(3):263-285
This paper concerns boundary value problems for quasilinear second order elliptic systems which are, for example, of the type
14.
S. H. SAKER B. G. ZHANG 《数学学报(英文版)》2007,23(4):715-722
Some new oscillation criteria for nonlinear delay difference equation with damping △^2xn＋pn△xn＋F（n,x（n-τ,△x（n-σ）=0,n=0,1,2,…,（＊）are given. Our results partially solve the open problem posed in [Math. Bohemica, 125 （2000）, 421- 430]. Also, we will establish some new oscillation criteria for special cases of （＊）, which improve some of the well-known results in the literature. 相似文献
15.
Omar Anza Hafsa Jean-Philippe Mandallena 《Annali di Matematica Pura ed Applicata》2007,186(1):185-196
Consider a plate occupying in a reference configuration a bounded open set Ω ⊂ ℝ
2
, and let
be its stored-energy function. In this paper we are concerned with relaxation of variational problems of type:
16.
WUSHAOPING YANGHAITAO 《高校应用数学学报(英文版)》1998,13(3):251-262
Some existence and multiplicity of homoelinic orbits for second order Hamiltonian system x-a(t)x f(t,x)=0 are given by means of variational methods, where the function -1/2a（t）|s|^2∫^t0f（t,s）ds is asymptotically quadratic in s at infinity and subquadratic in s at zero, and the function a (t) mainly satisfies the growth condition limt→∞∫^t 1 t a（t）dt= ∞,VI∈R^1.A resonance case as well as a noncompact case is discussed too. 相似文献
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18.
M. N. Yakovlev 《Journal of Mathematical Sciences》2007,141(6):1710-1722
It is proved that the boundary-value problem
19.
Giovanna Cerami 《Milan Journal of Mathematics》2006,74(1):47-77
In this paper the results of some investigations concerning nonlinear elliptic problems in unbounded domains are summarized
and the main difficulties and ideas related to these researches are described.
The model problem
20.
Nikos I. Karachalios Nikos M. Stavrakakis Pavlos Xanthopoulos 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》2005,56(2):218-238
We consider the following evolution system of Klein-Gordon-Schrödinger type
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