Results 101 to 110 of about 172 (136)

Efficient representations of Green’s functions for some elliptic equations with piecewise-constant coefficients

Open Mathematics, 2010
Melnikov Yuri
doaj   +1 more source

On The Approximation Of The Solution Of The Pressure Equation By Changing The Domain

, 1997
. The purpose of this paper is to study a well-known technique for simplifying the pressure and velocity computations in models arising in reservoir simulation and metal casting. In both cases the domain of the pressure equation is changed. The equations
Aslak Tveito, Bj��rn Fredrik Nielsen, Bjørn Fredrik Nielsen   +2 more
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On the Unboundedness of the Number of Solutions of a Dirichlet Problem

, 2007
We confirm a conjecture raised by Lazer and McKenna on the number of Dirichlet solutions of the equation u 00 + f(u) = s sin(t) + h(t) in [0; ß], where the nonlinear function f(u) satisfies \Gamma1 ! f 0 (\Gamma1) ! f 0 (1) = 1. Our result asserts
Man Kam Kwong
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Multiple solutions for the p-biharmonic equation with a polynomial nonlinearity and a sign-changing logarithmic nonlinearity

Open Mathematics
In this paper, we consider a boundary problem for a p-biharmonic equation ΔΔup−2Δu=axup−2u⁡lnu+bxup−2u ${\Delta}\left({\left\vert {\Delta}u\right\vert }^{p-2}{\Delta}u\right)=a\left(x\right){\left\vert u\right\vert }^{p-2}u\mathrm{ln}\left\vert u\right ...
Feng Tingfu, Li Ruixi, Dong Yan, Yang Mengrui   +3 more
doaj   +1 more source

Asymptotics of a Free Boundary Problem

, 2007
As was shown by Kaper and Kwong [Differential and Integral Equations 3, 353--362], there exists a unique R ? 0, such that the differential equation u 00 + 2 + 1 r u 0 + u \Gamma u q = 0; r ? 0; (0 q !
Man Kam Kwong, Atkinson Kaper, F. V. Atkinson   +2 more
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Bubbles clustered inside for almost-critical problems

Open Mathematics
We investigate the existence of blowing-up solutions of the following almost-critical problem: −Δu+V(x)u=up−ε,u>0inΩ,u=0on∂Ω,-\Delta u+V\left(x)u={u}^{p-\varepsilon },\hspace{1.0em}u\gt 0\hspace{0.25em}\hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em}\
Ayed Mohamed Ben, El Mehdi Khalil
doaj   +1 more source

Distributed Parameter Identification in Second Order PDEs Using Equation Error Methods

, 1996
The identification problem of functional coefficients in an elliptic equation is considered. For this purpose, the so-called equation error method in different forms is applied.
Tommi Kärkkäinen
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A generalized p-Laplacian problem with parameters

Demonstratio Mathematica
In recent years, research into the multiplicity of solutions to the pp-Laplace operator problem has attracted attention, and several important results have been investigated and others still remain open.
Zuo Jiabin, Heidarkhani Shapour, Moradi Shahin, Sousa José Vanterler da Costa   +3 more
doaj   +1 more source

Точни решения на нелокални гранични задачи за едно- и двумерни уравнения на топлопроводноста

, 2012
Иван Хр. Димовски, Юлиан Ц. Цанков - Предложен е метод за намиране на явни решения на клас двумерни уравнения на топлопроводността с нелокални условия по пространствените променливи.
Tsankov, Yulian, Dimovski, Ivan
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On the solvability of a nonlinear discrete problem corresponding to a higher-order finite volume approximation in 2D

, 1999
When studying non-linear (higher order MUSCL type) finite volume approximation of a linear convection diffusion problem, one is confronted with a question whether the corresponding nonlinear discrete problem is solvable. In this contribution we note that
Mirko Rokyta
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