Results 21 to 30 of about 1,214,101 (108)
Fučík spectra for vector equations
Electronic Journal of Qualitative Theory of Differential Equations, 2000 Let $L:\hbox{dom} L\subset L^2(\Omega;R^N)\rightarrow L^2(\Omega;R^N)$ be a linear operator, $\Omega$ being open and bounded in $R^M$. The aim of this paper is to study the Fu\v c\'\i k spectrum for vector problems of the form $Lu=\alpha Au^+ -\beta Au^-$
Christian Fabry
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Reiterated homogenization of nonlinear monotone operators in a general deterministic setting
Journal of Function Spaces, Volume 7, Issue 2, Page 121-152, 2009., 2009 We study reiterated homogenization of a nonlinear non‐periodic elliptic differential operator in a general deterministic setting as opposed to the usual stochastic setting. Our approach proceeds from an appropriate notion of convergence termed reiterated Σ‐convergence.
Dag Lukkassen +4 more
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Nonresonance Conditions for Asymptotically Positively Homogeneous Differential Systems: The Fučik Spectrum and Its Generalization [PDF]
, 1998 In this article we propose how to define the Fučik spectra for differential systems in Rnwith jumping nonlinearities. The PropertyP, a generalization of the non-Fučik spectra to positively homogeneous nonautonomous differential systems, is also defined ...
Zhang, Meirong, Meirong Zhang
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Selector for the Spectrum Award 2018
, 2018 Billingham was invited to be part of the selection panel for the first Spectrum Award in 2018 alongside Mark Wallinger, Charming Baker, Professor Simon Baron-Cohen, Sacha Craddock and Mary Simpson.
Billingham, Richard, Spectrum
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A generalized Fucik type eigenvalue problem for p-Laplacian
Electronic Journal of Qualitative Theory of Differential Equations, 2009 In this paper we study the generalized Fucik type eigenvalue for the boundary value problem of one dimensional $p-$Laplace type differential equations \[ \left\{\begin{array}{lll} - (\varphi( u')) ' = \psi(u), \quad -T< x < T; \\ \quad u(-T)=0, \quad u ...
Yuanji Cheng
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Various Half‐Eigenvalues of Scalar p‐Laplacian with Indefinite Integrable Weights
Abstract and Applied Analysis, Volume 2009, Issue 1, 2009., 2009 Consider the half‐eigenvalue problem (ϕp(x′))′+λa(t)ϕp(x+)−λb(t)ϕp(x−)=0 a.e. t ∈ [0, 1], where 1 < p < ∞, ϕp(x) = |x|p−2x, x±(⋅) = max {±x(⋅), 0} for x ∈ 𝒞0 : = C([0, 1], ℝ), and a(t) and b(t) are indefinite integrable weights in the Lebesgue space ℒγ : = Lγ([0, 1], ℝ), 1 ≤ γ ≤ ∞.
Wei Li, Ping Yan, Pavel Drabek
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On some problems with nonlocal integral condition
Mathematical Modelling and Analysis, 2010 We study the second order nonlinear boundary value problems with non‐local integral conditions and construct the Fučík type spectrum for these problems.
Natalija Sergejeva
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Periodic solutions of nonlinear vibrating beams
Abstract and Applied Analysis, Volume 2003, Issue 14, Page 823-841, 2003., 2003 The aim of this paper is to prove new existence and multiplicity results for periodic semilinear beam equation with a nonlinear time‐independent perturbation in case the period is not prescribed. Since the spectrum of the linear part varies with the period, the solvability of the equation depends crucially on the period which can be chosen as a free ...
J. Berkovits, H. Leinfelder, V. Mustonen
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Bifurcation surfaces stemming from the Fučik spectrum [PDF]
, 2012 Let Ω⊂RN be a bounded domain with smooth boundary ∂Ω and g:Ω¯×R→R be a nonlinear function. We prove existence of two-dimensional bifurcation surfaces for the elliptic boundary value problem−Δu=au−+bu++g(x,u)in Ω,u|∂Ω=0, where u−=min{0,u}, u+=max{0,u ...
Liu, Zhaoli, Li, Chong, Li, Shujie
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Solvability of a one-dimensional quasilinear problem under nonresonance conditions on the potential
Electronic Journal of Qualitative Theory of Differential Equations, 2009 Problem of the type $-\Delta_{p}u=f(u)+h(x) \textrm{ in } (a, b) $ with $u=0$ on $ \{a,b\} $ is solved under nonresonance conditions stated with respect to the first eigenvalue and the first curve in the Fučik spectrum of $(-\Delta_{p},W_{0}^{1,p}(a,b))$,
Aboubacar Marcos
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