Results 121 to 130 of about 511,067 (272)

On the fast solutions of nonlinear elliptic equations

open access: yesNumerische Mathematik, 1979
In a recent paper we described a multi-grid algorithm for the numerical solution of Fredholm's integral equation of the second kind. This "multi-grid iteration of the second kind" has important applications to elliptic boundary value problems. Here we study the treatment of nonlinear boundary value problems. The required amount of computational work is
openaire   +2 more sources

Exact Solutions of a Class of Nonlinear Elliptic Systems of a Special Type

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2015
In paper the problem of construction of exact solutions for nonlinear system of two equations of elliptic type is studied. Nonlinear systems of the equations of elliptic type are applied as mathematical models in the theory warm and a mass transfer of ...
A.A. Kosov, E.I. Semenov
doaj  

Multiplicity results for nonlinear elliptic equations

open access: yesElectronic Journal of Differential Equations, 2006
Let $Omega$ be a bounded domain in $mathbb{R}^{N}$, $Ngeq 3$, and $p=frac{2N}{N-2}$ the limiting Sobolev exponent. We show that for $fin H^1_0(Omega)^ast$, satisfying suitable conditions, the nonlinear elliptic problem $$displaylines{ -Delta u =|u |^{ p ...
Samira Benmouloud   +2 more
doaj  

Nonlinear boundary conditions for elliptic equations

open access: yesElectronic Journal of Differential Equations, 2005
This work is devoted to the study of the elliptic equation $Delta u = f(x,u)$ in a bounded domain $Omegasubset mathbb{R}^n$ with a nonlinear boundary condition.
Osvaldo Mendez   +2 more
doaj  

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