Results 11 to 20 of about 1,211,113 (146)
FUCIK SPECTRUM FOR A THIRD ORDER BOUNDARY VALUE PROBLEM [PDF]
Pesquimat, 2014 In this work, the Fucik Spectrum for the boundary value problem is studied, and the Fucik curves contained in this spectrum are described.
Santiago César Rojas Romero
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THE FUCIK SPECTRUM FOR A COUPLED SYSTEM WITH NO CHANGING SIGN SOLUTIONS [PDF]
Pesquimat, 2014 In this work we study the Fucik spectrum for the following system of secondorder ordinary differential equations where Bu = 0 represents the Dirichlet or Newmann type boundary conditions.
Santiago César Rojas Romero
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On the Fučík spectrum of the Laplacian on a torus [PDF]
Journal of Functional Analysis, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
E. Massa, B. Ruf
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New properties of the Fučík spectrum [PDF]
Comptes Rendus. Mathématique, 2013 In this Note we present some results on the Fučík spectrum for the Laplace operator, that give new information on its structure. In particular, these results show that, if Ω is a bounded domain of R
R. Molle, PASSASEO, Donato
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Fucik spectrum with weights and existence of solutions for nonlinear elliptic equations with nonlinear boundary conditions [PDF]
Electronic Journal of Differential Equations, 2023 We consider the boundary value problem $$\displaylines{ - \Delta u + c(x) u = \alpha m(x) u^+ - \beta m(x) u^- +f(x,u), \quad x \in \Omega, \cr \frac{\partial u}{\partial \eta} + \sigma (x) u =\alpha \rho (x) u^+- \beta \rho (x) u^- +g(x,u), \quad x \in \partial \Omega, }$$ where \((\alpha, \beta) \in \mathbb{R}^2\), \(c, m \in L^\infty (\Omega ...
Nsoki Mavinga +2 more
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On the Fucik spectrum for elliptic systems
, 2006 We propose an extension of the concept of Fucik spectrum to the case of coupled systems of two elliptic equations, we study its structure and some applications. We show that near a simple eigenvalue of the system, the Fucik spectrum consists (after a suitable reparametrization) of two (maybe coincident) 2-dimensional surfaces.
E. Massa, B.Ruf
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Resonance problems with respect to the Fucik spectrum of the p-Laplacian [PDF]
Electronic Journal of Differential Equations, 2002 We solve resonance problems with respect to the Fucik spectrum of the $p$-Laplacian using variational methods.
Kanishka Perera
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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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Generic properties of the Fucik spectrum of elliptic operators
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2000 Given a bounded smooth domain Ω ⊂ Rn, n ≥ 2, and a second-order elliptic self-adjoint operator A on Ω, the set of points (α, β) ∈ R2 for which the problem Au = αu+ − βu- in Ω, u = 0 on ∂Ω (where u± = max{±u, 0}), has a non-trivial solution is called the Fucik spectrum of A.
Rynne, B. P.; id_orcid
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An extended variational characterization of the Fučík Spectrum for the p-Laplace operator
Calculus of Variations and Partial Differential Equations, 2020 The authors investigate the Fučík spectrum \(\Sigma\) of the \(p\)-Laplacian, i.e., pairs of parameters \(\alpha\) and \(\beta\) for which the zero Dirichlet problem for the equation \(-\Delta_p u = \alpha |u|^{p-2} u^+ - \beta |u|^{p-2} u^-\) in a bounded domain \(\Omega\) has a nontrivial solution.
Drábek, Pavel, Robinson, Stephen B.
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