Results 31 to 40 of about 1,211,113 (146)
On the Fučí k spectrum for the $p$-Laplacian
Differential and Integral Equations, 2001 The structure of the set \(\{(\alpha, \beta) \in \mathbb R^2\): the problem \(-\Delta_p u = \alpha (u^+)^{p-1} - \beta (u^-)^{p-1}\) in \(\Omega\), \(u=0\) on \(\partial\Omega\) has a nontrivial solution\} is studied. See also \textit{N. Dancer} and \textit{K. Perera} [J. Math. Anal. Appl. 254, 164-177 (2001; Zbl 0970.35056)].
MICHELETTI, ANNA MARIA, A. PISTOIA
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ESPECTRO DE FUČIK PARA EL PROBLEMA DE VALOR FRONTERA STURM-LIOUVILLE
Pesquimat, 2014 In this article, we consider the Fučik equation in Ω = < 0, π > with Sturm-Liouville boundary conditions. We obtain its Fučik spectrum also the complete description and properties of the curves on it.
Santiago César Rojas Romero
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On nonlinear fučik type spectra
Mathematical Modelling and Analysis, 2008 Eigenvalue problems of the form x″ = -λf(x+) + μg(x-), x(0) = 0, x(1) = 0 are considered, where x+ and x− are respectively the positive and the negative parts of x. We are looking for (λ, μ) such that the problem has a nontrivial solution.
Armands Gritsans, Felix Sadyrbaev
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Boundary Value Problems for a Super‐Sublinear Asymmetric Oscillator: The Exact Number of Solutions
International Journal of Mathematics and Mathematical Sciences, Volume 2013, Issue 1, 2013., 2013 Properties of asymmetric oscillator described by the equation x′′=−λ(x+)p+μ(x−)q (i), where p ≥ 1 and 0 < q ≤ 1, are studied. A set of (λ, μ) such that the problem (i), x(0) = 0 = x(1) (ii), and |x′(0)| = α (iii) have a nontrivial solution, is called α‐spectrum. We give full description of α‐spectra in terms of solution sets and solution surfaces.
Armands Gritsans +2 more
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Variational Methods for NLEV Approximation Near a Bifurcation Point
International Journal of Mathematics and Mathematical Sciences, Volume 2012, Issue 1, 2012., 2012 We review some more and less recent results concerning bounds on nonlinear eigenvalues (NLEV) for gradient operators. In particular, we discuss the asymptotic behaviour of NLEV (as the norm of the eigenvector tends to zero) in bifurcation problems from the line of trivial solutions, considering perturbations of linear self‐adjoint operators in a ...
Raffaele Chiappinelli, Dorothy Wallace
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, 2017 In this article we study the behavior as $p \nearrow+\infty$ of the Fucik spectrum for $p$-Laplace operator with zero Dirichlet boundary conditions in a bounded domain $Ω\subset \mathbb{R}^n$. We characterize the limit equation, and we provide a description of the limit spectrum.
da Silva, Joao V. +2 more
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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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A Variational Characterization of the Fucik Spectrum and Applications [PDF]
, 2010 We characterize the Fucik spectrum (see [9]) of a class selfadjoint operators. Our characterization relies on Lyapunov-Schmidt reduction arguments. We use this characterization to establish the existence of solutions for a semilinear wave equation.
Alfonso Castro +3 more
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Editorial Note: Impact of COVID-19 on Spectrum operations
, 2020 To support our authors, reviewers and editors during the COVID-19 pandemic, the Spectrum Editorial Board has relaxed its timelines for the publication of this most recent issue (Issue 5). We are working with our authors on their Issue 5 submissions,
Editorial Board, Spectrum
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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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