Results 101 to 110 of about 172 (136)

On the Unboundedness of the Number of Solutions of a Dirichlet Problem [PDF]

, 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
core  

Asymptotics of a Free Boundary Problem [PDF]

, 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
core  

Distributed Parameter Identification in Second Order PDEs Using Equation Error Methods [PDF]

, 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
core  

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

, 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
core  

On the solvability of a nonlinear discrete problem corresponding to a higher-order finite volume approximation in 2D [PDF]

, 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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Robust Multiscale Identification of Apparent Elastic Properties at Mesoscale for Random Heterogeneous Materials with Multiscale Field Measurements. [PDF]

Materials (Basel), 2020
Zhang T, Pled F, Desceliers C.
europepmc   +1 more source

Regularity and free boundary regularity for the p-Laplacian in Lipschitz and C1-domains, [PDF]

, 2008
In this paper we solve several problems concerning regularity and free boundary regularity, below the continuous threshold, for positive solutions to the p-Laplace equation, 1 < p < ∞, vanishing on a portion of the boundary of an Ahlfors regular ...
Nyström, Kaj, John L Lewis, Kaj Nyström, Lewis, John L.   +3 more
core  

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

Open Mathematics, 2010
Melnikov Yuri
doaj   +1 more source

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

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