共查询到20条相似文献,搜索用时 125 毫秒
1.
COMPARISONTHEOREMSTOBOUNDARYVALUEPROBLEMSFORORDINARYDIFFERENTIALEQUATIONS¥LIYONG;WANGHUAIZHONGAbstract:Aunifiedapproachisgive... 相似文献
2.
INITIAL VALUE PROBLEMS FOR SECOND ORDER IMPULSIVE INTEGRO-DIFFERENTIAL EQUATIONS IN BANACH SPACES 总被引:13,自引:0,他引:13
Guo Dajun 《数学年刊B辑(英文版)》1997,18(4):439-448
INITIALVALUEPROBLEMSFORSECONDORDERIMPULSIVEINTEGRO┐DIFFERENTIALEQUATIONSINBANACHSPACES**GUODAJUN*AbstractManuscriptreceivedJu... 相似文献
3.
Zhang Linghai 《数学年刊B辑(英文版)》1998,19(1):35-58
UNIFORMSTABILITYANDASYMPTOTICBEHAVIOROFSOLUTIONSOF2-DIMENSIONALMAGNETOHYDRODYNAMICSEQUATIONSZHANGLINGHAIManuscriptreceivedJu... 相似文献
4.
D. G. Pachpatte 《数学物理学报(B辑英文版)》1994,(2)
ONCERTAINBOUNDARYVALUEPROBLEMSFORNONLINEARINTEGRODIFFERENTIALEQUATIONSD.G.Pachpatte(DepartmentofMathematicsandStatisicsMarath... 相似文献
5.
BOUNDARYVALUEPROBLEMSOFSINGULARLYPERTURBEDINTEGRO-DIFFERENTIALEQUATIONSZHOUQINDEMIAOSHUMEI(DepartmentofMathematics,JilinUnive... 相似文献
6.
ADMISSIBILITYOFLINEARESTIMATEOFREGRESSIONCOEFFICIENTSINGROWTHCURVEMODELUNDERMATRIXLOSSWANGXUEREN(王学仁)(DepartmentofStatistics,... 相似文献
7.
Xu Xiaoquan 《数学年刊B辑(英文版)》1994,15(1):105-114
STRONGLY ALGEBRAIC LATTICES AND CONDITIONS OF MINIMAL MAPPING PRESERVING INFS ¥XUXIAOQUANAbstract:Thetaborgivessomecharacteri... 相似文献
8.
ANIMPROVEMENTOFARESULTOFIVOCHKINAANDLADYZHENSKAYAONATYPEOFPARABOLICMONGE┐AMPEREEQUATIONWANGROUHUAI*WANGGUANGLI*AbstractManusc... 相似文献
9.
STABILITYOFMAJORLYEFFICIENTPOINTSANDSOLUTIONSINMULTIOBJECTIVEPROGRAMMINGGUGUOHUAANDHUYUDA(DepartmentofMathematicsandMechanics... 相似文献
10.
杨力平 《应用数学学报(英文版)》1994,10(3):233-251
FREEBOUNDARYPROBLEMARISINGFROMEVAPORATIONFROMPOROUSMEDIUMYANGLIPING(杨力平)(DepartmentofAppliedMathematics,TsinghuaUniversity,Be... 相似文献
11.
The purpose of this article is to study the existence and uniqueness of global solution for the nonlinear hyperbolic-parabolic equation of Kirchhoff-Carrier type: $$ u_{tt} + \mu u_t - M\left (\int _{\Omega _t}|\nabla u|^2dx\right )\Delta u = 0\quad \hbox {in}\ \Omega _t\quad \hbox {and}\quad u|_{\Gamma _t} = \dot \gamma $$ where $ \Omega _t = \{x\in {\shadR}^2 | \ x = y\gamma (t), \ y\in \Omega \} $ with boundary o t , w is a positive constant and n ( t ) is a positive function such that lim t M X n ( t ) = + X . The real function M is such that $ M(r) \geq m_0 \gt 0 \forall r\in [0,\infty [ $ . 相似文献
12.
Uniqueness and existence of solutions for a singular system with nonlocal operator via perturbation method
下载免费PDF全文
![点击此处可从《Journal of Applied Analysis & Computation》网站下载免费的PDF全文](/ch/ext_images/free.gif)
Kamel Saoudi Mouna Kratou Eadah AlZahrani 《Journal of Applied Analysis & Computation》2020,10(4):1311-1325
In this work, we investigate the existence and the uniqueness of solutions for the nonlocal elliptic system involving a singular nonlinearity as follows:
$$
\left\{\begin{array}{ll}
(-\Delta_p)^su = a(x)|u|^{q-2}u +\frac{1-\alpha}{2-\alpha-\beta} c(x)|u|^{-\alpha}|v|^{1-\beta}, \quad
\text{in }\Omega,\ (-\Delta_p)^s v= b(x)|v|^{q-2}v +\frac{1-\beta}{2-\alpha-\beta} c(x)|u|^{1-\alpha}|v|^{-\beta}, \quad
\text{in }\Omega,\ u=v
= 0 ,\;\;\mbox{ in }\,\mathbb{R}^N\setminus\Omega,
\end{array}
\right.
$$
where $\Omega $ is a bounded domain in $\mathbb{R}^{n}$ with smooth boundary, $0<\alpha <1,$ $0<\beta <1,$ $2-\alpha -\beta
相似文献
13.
Massimo Grossi Sérgio L. N. Neves 《Calculus of Variations and Partial Differential Equations》2013,48(3-4):713-737
In this paper we study the number of the boundary single peak solutions of the problem $$\left\{\begin{array}{ll} -\varepsilon^{2} \Delta u + u = u^{p}, \quad {\rm in}\, \Omega \\ u > 0, \quad\quad\quad\quad\quad\quad {\rm in}\, \Omega \\ \frac{\partial u}{\partial {\nu}} = 0, \quad\quad\quad\quad\quad\,\,\, {\rm on}\, \partial {\Omega}\end{array}\right.$$ for ${\varepsilon}$ small and p subcritical. Under some suitable assumptions on the shape of the boundary near a critical point of the mean curvature, we are able to prove exact multiplicity results. Note that the degeneracy of the critical point is allowed. 相似文献
14.
1.IntroductionOscillationtheoryforellipticdifferentialequationswithvariablecoefficielltshasbeenextensivelydevelopedinrecentyearsbymanyauthors(seee-g-,Allegretto[1,2l,Bugir['],Fiedler[5]'KitamuraandKusano['],Kural4]KusanoandNaitol1o]'NaitoandYoshidal12]'NoussairandSwanson[l3'14]'Swansonl15'l6]andthereferencescitedtherein).Inthispaper,weareconcernedwiththeoscillatorybehaviorofsolutionsofsecondorderellipticdifferelltialequatiollswithalternqtingcoefficients.Asusual,pointsinn-dimensionalEucli… 相似文献
15.
本文在无边界流的光滑有界区域$\Omega\subset\mathbb{R}^n~(n>2)$上研究了具有奇异灵敏度及logistic源的抛物-椭圆趋化系统$$\left\{\begin{array}{ll}u_t=\Delta u-\chi\nabla\cdot(\frac{u}{v}\nabla v)+r u-\mu u^k,&x\in\Omega,\,t>0,\\ 0=\Delta v-v+u,&x\in\Omega,\,t>0\end{array}\right.$$ 其中$\chi$, $r$, $\mu>0$, $k\geq2$. 证明了若当$r$适当大, 则当$t\rightarrow\infty$时该趋化系统全局有界解呈指数收敛于$((\frac{r}{\mu})^{\frac{1}{k-1}}, (\frac{r}{\mu})^{\frac{1}{k-1}})$. 相似文献
16.
We shall give the existence of a capacity solution to a nonlinear elliptic coupled system, whose unknowns are the temperature inside a semiconductor material, u, and the electric potential, $$\varphi $$, the model problem we refer to is $$\begin{aligned} \left\{ \begin{array}{l} \Delta _p u+g(x,u)= \rho (u)|\nabla \varphi |^2 \quad \mathrm{in} \quad \Omega ,\\ {{\,\mathrm{div}\,}}(\rho (u)\nabla \varphi ) =0 \quad \mathrm{in} \quad \Omega ,\\ \varphi =\varphi _0 \quad \text{ on } \quad {\partial \Omega },\\ u=0 \quad \mathrm{on} \quad {\partial \Omega }, \end{array} \right. \end{aligned}$$where $$\Omega \subset \mathbb {R}^N$$, $$N\ge 2$$ and $$\Delta _p u=-{\text {div}}\left( |\nabla u|^{p-2} \nabla u\right) $$ is the so-called p-Laplacian operator, and g a nonlinearity which satisfies the sign condition but without any restriction on its growth. This problem may be regarded as a generalization of the so-called thermistor problem, where we consider the case of the elliptic equation is non-uniformly elliptic. 相似文献
17.
José A. Gálvez Asun Jiménez Pablo Mira 《Calculus of Variations and Partial Differential Equations》2012,44(3-4):577-599
Let Ω denote the upper half-plane ${\mathbb{R}_+^2}$ or the upper half-disk ${D_{\varepsilon}^+\subset \mathbb{R}_+^2}$ of center 0 and radius ${\varepsilon}$ . In this paper we classify the solutions ${v\in\;C^2(\overline{\Omega}\setminus\{0\})}$ to the Neumann problem $$\left\{\begin{array}{lll}{\Delta v+2 Ke^v=0\quad {\rm in}\,\Omega\subseteq \mathbb{R}^2_+=\{(s, t)\in \mathbb{R}^2: t >0 \},}\\ {\frac{\partial v}{\partial t}=c_1e^{v/2}\quad\quad\quad{\rm on}\,\partial\Omega\cap\{s >0 \},}\\ {\frac{\partial v}{\partial t}=c_2e^{v/2}\quad\quad\quad{\rm on}\,\partial\Omega\cap\{s <0 \},}\end{array}\right.$$ where ${K, c_1, c_2 \in \mathbb{R}}$ , with the finite energy condition ${\int_{\Omega} e^v < \infty}$ As a result, we classify the conformal Riemannian metrics of constant curvature and finite area on a half-plane that have a finite number of boundary singularities, not assumed a priori to be conical, and constant geodesic curvature along each boundary arc. 相似文献
18.
《复变函数与椭圆型方程》2012,57(3):271-276
Let $ \Pi_{n,M} $ be the class of all polynomials $ p(z) = \sum _{0}^{n} a_{k}z^{k} $ of degree n which have all their zeros on the unit circle $ |z| = 1$ , and satisfy $ M = \max _{|z| = 1}|\,p(z)| $ . Let $ \mu _{k,n} = \sup _{p\in \Pi _{n,M}} |a_{k}| $ . Saff and Sheil-Small asked for the value of $\overline {\lim }_{n\rightarrow \infty }\mu _{k,n} $ . We find an equivalence between this problem and the Krzyz problem on the coefficients of bounded non-vanishing functions. As a result we compute $$ \overline {\lim }_{n\rightarrow \infty }\mu _{k,n} = {{M} \over {e}}\quad {\rm for}\ k = 1,2,3,4,5.$$ We also obtain some bounds for polynomials with zeros on the unit circle. These are related to a problem of Hayman. 相似文献
19.
We consider the following fourth order mean field equation with Navier boundary condition $$\Delta^2 u = \rho \frac{h(x) e^{u}}{\int_\Omega h e^{u}}\,\,{\rm in}\, \Omega,{\quad}u = \Delta u = 0\,\,{\rm on}\,\partial \Omega,\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad(*)$$ where h is a C 2,?? positive function, ?? is a bounded and smooth domain in ${\mathbb{R}^4}$ . We prove that for ${\rho \in (32m\sigma_3, 32(m + 1)\sigma_3)}$ the degree-counting formula for (*) is given by $$d(\rho)=\left\{\begin{array}{ll}\frac{1}{m!} (-\chi (\Omega) +1) \cdot\cdot \cdot (-\chi(\Omega)+m) & {\rm for}\, m >0 ,\\ 1 & {\rm for}\, m=0\end{array}\right.$$ where ??(??) is the Euler characteristic of ??. Similar result is also proved for the corresponding Dirichlet problem $$\Delta^2 u = \rho \frac{h(x) e^{u}}{\int_\Omega h e^{u}}\quad{\rm in}\,\Omega, \quad u = \nabla u = 0 \quad {\rm on}\,\,\partial \Omega.\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad(**)$$ 相似文献
20.
Lucio Boccardo 《Milan Journal of Mathematics》2011,79(1):193-206
The aim of this work is to study the existence of solutions of quasilinear elliptic problems of the type
$\left\{{ll}-{\rm div}([a(x) + |u|^q] \nabla u) + b(x)u|u|^{p-1}|\nabla u|^2 = f(x), & {\rm in}\,\Omega;\\
\quad \quad \quad \quad \quad \quad \quad \quad \quad \; u = 0, & \,{\rm on}\,\partial\Omega. \right.$\left\{\begin{array}{ll}-{\rm div}([a(x) + |u|^q] \nabla u) + b(x)u|u|^{p-1}|\nabla u|^2 = f(x), & {\rm in}\,\Omega;\\
\quad \quad \quad \quad \quad \quad \quad \quad \quad \; u = 0, & \,{\rm on}\,\partial\Omega. \end{array}\right. 相似文献
|