Results 61 to 70 of about 1,211,830 (116)

Resonance with respect to the Fucik spectrum

open access: yesElectronic Journal of Differential Equations, 2000
Let $L$ be a self-adjoint operator on $L^2(Omega; R)$ with $Omega$ a bounded and open subset of $R^N$. This article considers the resonance problem with respect to the Fuv c'i k spectrum of $L$, which means that we study equations of the form $$ Lu ...
A. K. Ben-Naoum, C. Fabry, D. Smets
doaj  

Solution to a semilinear problem on type II regions determined by the Fucik spectrum

open access: yesElectronic Journal of Differential Equations, 2003
We prove the existence of solutions to the semi-linear problem $$displaylines{ u''(x)+alpha u^+(x)+ta u^-(x)=f(x),,quad xin (0,pi),,cr u(0)=u(pi)=0 } $$ where the point $(alpha,eta)$ falls in regions of type (II) between curves of the Fucik spectrum.
Petr Tomiczek
doaj  

Bifurcation of ordinary differential equations from points of Fučík spektrum [PDF]

open access: yes, 2011
Title: Bifurcation of Ordinary Differential Equations from Points of Fučík Spectrum Author: Vendula Exnerová Department: Department of Mathematical Analysis Supervisor: doc. RNDr.
Exnerová, Vendula
core  

Spectrum, 1979[?] [PDF]

open access: yes, 1979
Inaugural issue of Spectrum literary magazinehttps://nwcommons.nwciowa.edu/spectrum/1000/thumbnail ...
Spectrum Contributors,
core   +3 more sources

Potential Landesman-Lazer type conditions and the Fucik spectrum

open access: yesElectronic Journal of Differential Equations, 2005
We prove the existence of solutions to the nonlinear problem $$displaylines{ u''(x)+lambda_+ u^+(x)-lambda_- u^-(x)+g(x,u(x))=f(x),,quad xin (0,pi),,cr u(0)=u(pi)=0 } $$ where the point $[lambda_+,lambda_-]$ is a point of the Fucik spectrum and the ...
Petr Tomiczek
doaj  

Superlinear equations and a uniform anti-maximum principle for the multi-Laplacian operator

open access: yesElectronic Journal of Differential Equations, 2004
In the first part of this paper, we study a nonlinear equation with the multi-Laplacian operator, where the nonlinearity intersects all but the first eigenvalue.
Eugenio Massa
doaj  

Structure of the Fucik spectrum and existence of solutions for equations with asymmetric nonlinearities

open access: yes, 2001
Let L : dom L ⊂ L2(Ω) → L2(Ω) be a self-adjoint operator, Ω being open and bounded in RN. We give a description of the Fučík spectrum of L away from the essential spectrum. Let λ be a point in the discrete spectrum of L; provided that some non-degeneracy
Ben-Naoum, Abdou Kouider   +3 more
core   +1 more source

On the eigenvalue problem for the Hardy-Sobolev operator with indefinite weights

open access: yesElectronic Journal of Differential Equations, 2002
In this paper we study the eigenvalue problem $$ -Delta_{p}u-a(x)|u|^{p-2}u=lambda |u|^{p-2}u, quad uin W^{1,p}_{0}(Omega), $$ where ...
Konijeti Sreenadh
doaj  

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