Results 71 to 80 of about 1,677 (103)

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
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On Bobkov-Tanaka type spectrum for the double-phase operator

Advanced Nonlinear Studies
Moving from the seminal papers by Bobkov and Tanaka [“On positive solutions for (p, q)-Laplace equations with two parameters,” Calc. Var. Partial Differ. Equ., vol. 54, pp.
Gambera Laura, Guarnotta Umberto
doaj   +1 more source

Talenti comparison results and rigidity results for anisotropic p-Laplacian operator with Robin boundary conditions

Advanced Nonlinear Studies
In this paper, we first establish the Talenti comparison principle for anisotropic p-Laplacian equation with Robin boundary conditions. This achievement not only extends classical Talenti comparison result for Laplacian equation with Robin boundary ...
Chen Lu, Yang Yabo
doaj   +1 more source

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

Advances 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

Hypersurfaces of Prescribed Gauss Curvature in Exterior Domains

, 2001
We prove an existence theorem for convex hypersurfaces of prescribed Gauss curvature in the complement of a compact set in Euclidean space which are close to a cone.Comment: 15 pages, LaTeX (published ...
Finster, Felix, Schnuerer, Oliver C.
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An elliptic equation with an indefinite sublinear boundary condition

Advances in Nonlinear Analysis, 2016
We investigate the ...
Ramos Quoirin Humberto, Umezu Kenichiro
doaj   +1 more source

On the first Dirichlet Laplacian eigenvalue of regular Polygons

, 2014
The Faber-Krahn inequality in $\mathbb{R}^2$ states that among all open bounded sets of given area the disk minimizes the first Dirichlet Laplacian eigenvalue.
Nitsch, Carlo
core   +1 more source

Some remarks on sign changing solutions of a quasilinear elliptic equation in two variables [PDF]

, 2012
We consider planar solutions to certain quasilinear elliptic equations subject to the Dirichlet boundary conditions; the boundary data is assumed to have finite number of relative maximum and minimum values.
Granlund, Seppo, Marola, Niko
core  

A transmission problem on a polygonal partition: regularity and shape differentiability

, 2018
We consider a transmission problem on a polygonal partition for the two-dimensional conductivity equation. For suitable classes of partitions we establish the exact behaviour of the gradient of solutions in a neighbourhood of the vertexes of the ...
Beretta, Elena, Francini, Elisa, Vessella, Sergio   +2 more
core   +1 more source

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

Advances 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, Oliva Francescantonio, León Sergio Segura de   +2 more
doaj   +1 more source