Results 11 to 20 of about 41 (40)

Isoparametric mixed finite element approximation of eigenvalues and eigenvectors of 4th order eigenvalue problems with variable coefficients [PDF]

open access: yes, 2001
. Estimates for the combined eect of boundary approximation and numerical integration on the approximation of (simple) eigenvalues and eigenvectors of 4th order eigenvalue problems with variable/constant coecients in convex domains with curved boundary ...
Nataraj, Neela   +4 more
core   +1 more source

A bifurcation result involving Sobolev trace embedding and the duality mapping of W1,p

open access: yesMoroccan Journal of Pure and Applied Analysis, 2017
We consider the perturbed nonlinear boundary condition ...
El Khalil Abdelouahed
doaj   +1 more source

Biharmonic Problems and their Application in Engineering and Medicine

open access: yes, 2020
In the present paper we study some properties of solutions of the Steklov and Neumann boundary value problems for the biharmonic equation. For solving these biharmonic problems with application in engineering and medicine, we need to solve boundary value
Nordo G., Matevossian H. A., Sako T.
core   +1 more source

Topological degree methods for a nonlinear elliptic system with variable exponents [PDF]

open access: yes
In this paper, we consider the existence of a distributional solution for nonlinear elliptic system governed by (p(x),q(x))-Laplacian operators. We show that the system has at least one solution by using the topological degree theory. Our results improve
FEKRACHE, Abdelhak, LECHEHEB, Samira
core   +1 more source

Crack Theory with Singularities at the Boundary [PDF]

open access: yes, 2003
2002 Mathematics Subject Classification: 35S15, 35J70, 35J40, 38J40We investigate crack problems, where the crack boundary has conical singularities. Elliptic operators with two-sided elliptic boundary conditions on the plus and minus sides of the crack ...
Schulze, B. W.
core  

Multiple solutions for a class of fourth-order elliptic equations with critical growth

open access: yesOpen Mathematics
In this article, we study the semilinear biharmonic problem with a critical growth: Δ2u=μQ(x)∣u∣p−2u+V(x)∣u∣2**−2uinΩ,u=Δu=0on∂Ω,\left\{\begin{array}{ll}{\Delta }^{2}u=\mu Q\left(x){| u| }^{p-2}u+V\left(x){| u| }^{{2}^{* * }-2}u\hspace{1.0em}& \hspace{0 ...
Tian Guaiqi, Lei Jun, An Yucheng
doaj   +1 more source

THE IDENTIFICATION OF THIN DIELECTRIC OBJECTS FROM FAR FIELD AND NEAR FIELD SCATTERING DATA ∗

open access: yes, 2008
. We consider the inverse scattering problem of determining the shape and the material properties of a thin dielectric infinite cylinder having an open arc as cross section from a knowledge of the TM-polarized scattered electromagnetic field at a fixed ...
Fioralba Cakoni, Noam Zeev
core  

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