Results 81 to 90 of about 12,585,660 (209)

Eigenvalue problems for p(x)-Kirchhoff type equations

Electronic Journal of Differential Equations, 2013
In this article, we study the nonlocal $p(x)$-Laplacian problem $$\displaylines{ -M\Big(\int_{\Omega}\frac{1}{p(x)}|\nabla u|^{p(x)}dx\Big) \hbox{div}(|\nabla u|^{p(x)-2}\nabla u)= \lambda|u|^{q(x)-2}u \quad \text{ in } \Omega,\cr u=0 \quad \text{on
Ghasem A. Afrouzi, Maryam Mirzapour
doaj  

Eigenvalue estimates for stationary p(x)-Kirchhoff problems

Electronic Journal of Differential Equations, 2016
Using variational techniques we prove an eigenvalue theorem for a stationary p(x)-Kirchhoff problem, and provide an estimate for the range of such eigenvalues. We employ a specific family of test functions in variable-exponent Sobolev spaces.
Luca Vilasi
doaj  

Positive Solutions for Second-Order Three-Point Eigenvalue Problems

Abstract and Applied Analysis, 2010
With the help of the fixed point index theorem in cones, we get an existence theorem concerning the existence of positive solution for a second-order three-point eigenvalue problem x′′(t)+λf(t,x(t))=0,  0≤t≤1,  x(0)=0,  x(1)=x(η), where λ is a parameter.
Chuanzhi Bai
doaj   +1 more source

A Posteriori Error Estimates with Computable Upper Bound for the Nonconforming Rotated Q 1 Finite Element Approximation of the Eigenvalue Problems

, 2014
This paper discusses the nonconforming rotated finite element computable upper bound a posteriori error estimate of the boundary value problem established by M.
Jie Liu, Tian Xia, Wei Jiang
semanticscholar   +1 more source

Test matrices with specified eigenpairs for the symmetric positive definite generalized eigenvalue problem

Special Matrices
The generalized eigenvalue problem is a significant topic with numerous applications in scientific and technological computing. Therefore, verifying the reliability of the results produced by numerical solvers is crucial.
Ozaki Katsuhisa, Terao Takeshi
doaj   +1 more source

A note on quasilinear elliptic eigenvalue problems

Electronic Journal of Differential Equations, 1999
We study an eigenvalue problem by a non-smooth critical point theory. Under general assumptions, we prove the existence of at least one solution as a minimum of a constrained energy functional. We apply some results on critical point theory with symmetry
Gianni Arioli
doaj  

Inverse eigenvalue problems for semilinear elliptic equations

Electronic Journal of Differential Equations, 2009
We consider the inverse nonlinear eigenvalue problem for the equation $$displaylines{ -Delta u + f(u) = lambda u, quad u > 0 quad hbox{in } Omega,cr u = 0 quad hbox{on } partialOmega, } where $f(u)$ is an unknown nonlinear term, $Omega subset ...
Tetsutaro Shibata
doaj  

Foundations of the theory of open waveguides

Journal of Telecommunications and Information Technology
The theory of electromagnetic wave eigenmodes propagating on open dielectric and metallic waveguides has been reviewed. The main steps of different theoretical approaches to the problem are outlined and discussed.
Alexander I. Nosich
doaj   +1 more source

A geometric method for eigenvalue problems with low-rank perturbations. [PDF]

R Soc Open Sci, 2017
Anastasio TJ, Barreiro AK, Bronski JC.
europepmc   +1 more source

Remarks on an eigenvalue problem associated with the p-Laplace operator

Electronic Journal of Differential Equations, 2010
In this article we study eigenvalue problems involving p-Laplace operator and having a continuous family of eigenvalues and at least one isolated eigenvalue.
Alin Galatan, Cezar Lupu, Felician Preda
doaj