Results 51 to 60 of about 3,208 (150)

Computing the lower and upper bounds of Laplace eigenvalue problem: by combining conforming and nonconforming finite element methods

, 2011
This article is devoted to computing the lower and upper bounds of the Laplace eigenvalue problem. By using the special nonconforming finite elements, i.e., enriched Crouzeix-Raviart element and extension $Q_1^{\rm rot}$, we get the lower bound of the ...
C. Yao, F. Chatelin, FuSheng Luo, G. Stang, H. P. Liu, H. P. Liu, HeHu Xie, I. Babuška, I. Babuška, J. C. Xu, J. Hu, K. Feng, M. Armentano, P. Ciarlet, Q. Lin, Q. Lin, Q. Lin, Q. Lin, Qun Lin, R. Rannacher, Y. A. Li, Y. A. Li, Y. D. Yang, Y. D. Yang, Y. D. Yang, Z. M. Zhang   +25 more
core   +1 more source

The structure of fractional spaces generated by a two-dimensional elliptic differential operator and its applications

, 2014
We consider the two-dimensional differential operator Au(x1,x2)=−a11(x1,x2)ux1x1(x1,x2)−a22(x1,x2)ux2x2(x1,x2)+σu(x1,x2) defined on functions on the half-plane Ω=R+×R with the boundary conditions u(0,x2)=0, x2∈R, where aii(x1,x2), i=1,2, are continuously
A. Ashyralyev, S. Akturk, Y. Sozen
semanticscholar   +1 more source

Coefficients of singularities of the biharmonic problem of Neumann type: case of the crack

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 5, Page 305-313, 2003., 2003
This paper concerns the biharmonic problem of Neumann type in a sector V. We give a representation of the solution u of the problem in a form of a series u = ∑α∈ECα rα ϕα, and the functions ϕα are solutions of an auxiliary problem obtained by the separation of variables.
Wided Chikouche, Aissa Aibèche
wiley   +1 more source

On a nonlinear elliptic problems having large monotonocity with L1-data in weighted Orlicz-Sobolev spaces

Moroccan Journal of Pure and Applied Analysis, 2019
We prove in weighted Orlicz-Sobolev spaces, the existence of entropy solution for a class of nonlinear elliptic equations of Leray-Lions type, with large monotonicity condition and right hand side f ∈ L1(Ω).
Haji Badr El, Moumni Mostafa El, Kouhaila Khaled   +2 more
doaj   +1 more source

On sufficient “local” conditions for existence results to generalized p(.)-Laplace equations involving critical growth

Advances in Nonlinear Analysis, 2022
In this article, we study the existence of multiple solutions to a generalized p(⋅)p\left(\cdot )-Laplace equation with two parameters involving critical growth.
Ho Ky, Sim Inbo
doaj   +1 more source

An embedding result

, 2013
In unbounded subset $\Omega$ in $R^n$ we study the operator $u\rightarrow gu$ as an operator defined in the Sobolev space $W^{r,p}(\Omega)$ and which takes values in $L^p(\Omega)$.
Canale, Anna
core   +1 more source

An optimal bound for nonlinear eigenvalues and torsional rigidity on domains with holes

, 2020
In this paper we prove an optimal upper bound for the first eigenvalue of a Robin-Neumann boundary value problem for the p-Laplacian operator in domains with convex holes.
Della Pietra, Francesco, Piscitelli, Gianpaolo   +1 more
core   +1 more source

Unilateral boundary value problems with jump discontinuities

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 30, Page 1933-1941, 2003., 2003
Using the critical point theory of Szulkin (1986), we study elliptic problems with unilateral boundary conditions and discontinuous nonlinearities. We do not use the method of upper and lower solutions. We prove two existence theorems: one when the right‐hand side is nondecreasing and the other when it is nonincreasing.
Nikolaos Halidias
wiley   +1 more source

A-priori Estimates Near the Boundary for Solutions of a class of Degenerate Elliptic Problems in Besov-type Spaces

Moroccan Journal of Pure and Applied Analysis, 2017
In this paper, we give a priori estimates near the boundary for solutions of a degenerate elliptic problems in the general Besov-type spaces Bp,qs,τ$B_{p,q}^{s,\tau }$, containing as special cases: Goldberg space bmo, local Morrey-Campanato spaces l2,λ ...
El Baraka Azzeddine, Masrour Mohammed
doaj   +1 more source

Spectral gap of segments of periodic waveguides

, 2006
We consider a periodic strip in the plane and the associated quantum waveguide with Dirichlet boundary conditions. We analyse finite segments of the waveguide consisting of $L$ periodicity cells, equipped with periodic boundary conditions at the ``new ...
D. Borisov, D. Krejčiřík, E.B. Davies, Ivan Veselić, K Yoshitomi, Sylwia Kondej, W. Kirsch   +6 more
core   +2 more sources