Results 71 to 80 of about 172 (136)

The Neumann function and the L p Neumann problem in chord-arc domains

open access: yesAdvanced Nonlinear Studies
We construct the Neumann function in a 1-sided chord-arc domain (i.e., a uniform domain with an Ahlfors regular boundary), and establish size and Hölder continuity estimates up to the boundary.
Hofmann Steve, Sparrius Derek
doaj   +1 more source

Uniqueness of Radial Solutions of Semilinear Elliptic Equations

open access: yes, 1992
E. Yanagida recently proved that the classical Matukuma equation with a given exponent has only one finite mass solution. We show how similar ideas can be exploited to obtain uniqueness results for other classes of equations as well as Matukuma equations
Kwong, Man Kam   +3 more
core   +1 more source

Diffusion and propagation problems in some ramified domains with a fractal boundary

open access: yes, 2006
This paper is devoted to some elliptic boundary value problems in a self-similar ramified domain of R 2 with a fractal boundary. Both the Laplace and Helmholtz equations are studied.
Yves Achdou   +5 more
core   +1 more source

Diffusive logistic equations with harvesting and heterogeneity under strong growth rate

open access: yesAdvances in Nonlinear Analysis, 2017
We consider the ...
Shabani Rokn-e-vafa Saeed   +1 more
doaj   +1 more source

Existence of entropy solutions for nonlinear elliptic degenerate anisotropic equations

open access: yesOpen Mathematics, 2017
In the present article we deal with the Dirichlet problem for a class of degenerate anisotropic elliptic second-order equations with L1-right-hand sides in a bounded domain of ℝn(n ⩾ 2) . This class is described by the presence of a set of exponents q1,…,
Gorban Yuliya
doaj   +1 more source

Многомерни операционни смятания за нелокални гранични задачи за еволюционни уравнения

open access: yes, 2011
[Dimovski Ivan H.; Димовски Иван Х.]; [Tsankov Yulian Ts.; Цанков Юлиан Ц.]Here we propose a direct operational calculus approach to nonlocal boundary value problems for a large class of linear evolution equations with several space variables and one ...
Dimovski, Ivan H., Tsankov, Yulian Ts.
core  

On a nonlinear Robin problem with an absorption term on the boundary and L1 data

open access: yesAdvances in Nonlinear Analysis
We deal with existence and uniqueness of nonnegative solutions to: −Δu=f(x),inΩ,∂u∂ν+λ(x)u=g(x)uη,on∂Ω,\left\{\begin{array}{ll}-\Delta u=f\left(x),\hspace{1.0em}& \hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em}\Omega ,\\ \frac{\partial u}{\partial ...
Pietra Francesco Della   +2 more
doaj   +1 more source

ESAIM: Mathematical Modelling and Numerical Analysis SMALL AMPLITUDE HOMOGENIZATION APPLIED TO MODELS OF NON-PERIODIC FIBROUS MATERIALS

open access: yes, 2007
. In this paper, we compare a biomechanics empirical model of the heart fibrous structure to two models obtained by a non-periodic homogenization process.
David Manceau
core  

The existence and boundary behavior of large solutions to semilinear elliptic equations with nonlinear gradient terms

open access: yesAdvances in Nonlinear Analysis, 2014
In this paper, for more general f, g and a, b, we obtain conditions about the existence and boundary behavior of solutions to boundary blow-up elliptic problems ▵u=a(x)g(u)+b(x)f(u)|∇u|q,x∈Ω,u|∂Ω=+∞$ \triangle u=a(x)g(u)+ b(x) f(u)|\nabla u|^q,\quad x\in
Zhang Zhijun
doaj   +1 more source

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