Results 71 to 80 of about 1,211,085 (119)
Resonance with respect to the Fucik spectrum
Electronic 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 $$ Lu ...
A. K. Ben-Naoum, C. Fabry, D. Smets
doaj
Resonance Problems of the Fucik Spectrum Using Variational Methods
, 2012 The Fucik spectrum of a linear operator, $L$, is defined to be the ...
Morris, Quinn Alexander
core
, 2017 Článek přináší novou globální variační charakteristiku Fučíkova spektra pro Laplaceův operátor. Výsledky jsou aplikovámy na nerezonanční a rezonanční úlohy.We provide global variational characterization of the Fucik spectrum for the Laplace operator and ...
Stephen B. Robinson +3 more
core +1 more source
Bifurcation results for quasi-linear operators from the Fučik spectrum of the Laplacian
, 2023 Abstract In this paper, we analyze an eigenvalue problem for a quasi-linear elliptic operators involving Dirichlet boundary condition in an open smooth bounded set of RN. We investigate a bifurcation results (from trivial solution and from infinity) of an eigenvalue problem involving the (p,2)-Laplace operator, from the Fučik spectrum of the ...
openaire +3 more sources
Fucik Spectrum and elliptic equations with jumping nonlinearities
, 2010 Estudamos o Espectro de Fucík para o operador Laplaciano, isto é, o conjunto \'SIGMA\' das duplas (\'mü\', \'nü\') \'ESTA CONTIDO EM\' \'R POT. 2\', tais que o problema { - \'DELTA\' u(x) = \'\'\'mü \'nü\' POT.
Rafael Antonio Rossato +1 more
core +1 more source
Solution to a semilinear problem on type II regions determined by the Fucik spectrum
Electronic Journal of Differential Equations, 2003 We prove the existence of solutions to the semi-linear problem $$displaylines{ u''(x)+alpha u^+(x)+ta u^-(x)=f(x),,quad xin (0,pi),,cr u(0)=u(pi)=0 } $$ where the point $(alpha,eta)$ falls in regions of type (II) between curves of the Fucik spectrum.
Petr Tomiczek
doaj
Antimaximum principle for elliptic problems with weight
Electronic Journal of Differential Equations, 1999 This paper is concerned with the antimaximum principle for the linear problem with weight $-Delta u = lambda m(x) u +h(x)$, under Dirichlet or Neumann boundary conditions.
T. Godoy, J.-P. Gossez, S. Paczka
doaj
Superlinear equations and a uniform anti-maximum principle for the multi-Laplacian operator
Electronic Journal of Differential Equations, 2004 In the first part of this paper, we study a nonlinear equation with the multi-Laplacian operator, where the nonlinearity intersects all but the first eigenvalue.
Eugenio Massa
doaj
On the eigenvalue problem for the Hardy-Sobolev operator with indefinite weights
Electronic Journal of Differential Equations, 2002 In this paper we study the eigenvalue problem $$ -Delta_{p}u-a(x)|u|^{p-2}u=lambda |u|^{p-2}u, quad uin W^{1,p}_{0}(Omega), $$ where ...
Konijeti Sreenadh
doaj
Periodic boundary-value problems and the Dancer-Fucik spectrum under conditions of resonance
Electronic Journal of Differential Equations, 2011 We prove the existence of solutions to the nonlinear $2 pi$-periodic problem $$displaylines{ u''(x)+mu u^+(x)-u u^-(x)+g(x,u(x))=f(x),,quad xin (0,2pi),,cr u(0)-u(2pi) =0 ,, quad u'(0) - u'(2pi)=0, }$$ where the point $(mu,u)$ lies in the Dancer ...
David A. Bliss +2 more
doaj