Results 61 to 70 of about 1,211,085 (119)
On the first curve of the Fučik spectrum of an elliptic operator
Differential and Integral Equations, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gossez, Jean-Pierre, De Figueiredo, D.
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Resonance with respect to the Fučík spectrum
Electronic Journal of Differential Equations, 2000 The authors study the existence of solutions for nonlinear equations of the form \(Lu = \alpha u^{+} - \beta u^{-} + f(\cdot,u),\) where \(L: \operatorname {dom} L \subset L^{2}(\Omega,\mathbb R) \rightarrow L^{2}(\Omega,\mathbb R)\) is a selfadjoint linear operator, \(\Omega\) is a bounded open subset of \(\mathbb R^{N}\), and the equation \(Lu ...
A. K. Ben-Naoum, C. Fabry, D. Smets
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A global characterization of the Fučík spectrum for a system of ordinary differential equations
Journal of Differential Equations, 2007 The authors consider the Fučik spectrum for a system of second order ordinary differential equations with Dirichlet or Neumann boundary values. By the implicit function theorem, they give a local description of the Fučik spectrum and then they deduce a global one.
Eugenio Massa, Bernhard Ruf
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On the Fucik Spectrum for Equations with Symmetries
, 2011 An overview over some aspects of the Fucik spectrum are given, in particular in the situation when the problem is invariant under some compact group action. Some recent results concerning the complexity of the Fucik specturm are discussed, and some open problems are studied.
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On the Fucik spectrum for elliptic systems
, 2015 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.
Massa, E, Ruf, B
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On the Fucik spectrum of the p-Laplacian
, 2015 We prove the existence of a first non-trivial curve in the Fucik spectrum of the p-Laplacian. This yields in particular a variational characterization of the second eigenvalue of the p-Laplacian by a mountain pass procedure.
Gossez, JP, Cuesta, M, De Figueiredo, DG
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A variational characterization of the Fucík spectrum and applications
, 2010 Summary: We characterize the Fucík spectrum [\textit{S. Fucík}, Čas. Pěst. Mat. 101, 69--87 (1976; Zbl 0332.34016)] 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.
CASTRO, ALFONSO, CHANG, CHEN
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Asymmetric elliptic problems in $R^N$
Electronic Journal of Differential Equations, 2006 We work on the whole $R^N$ and prove the existence of a first nonprincipal eigenvalue for an asymmetric problem with weights involving the p-Laplacian. As an application we obtain a first nontrivial curve in the corresponding Fucik spectrum.
Jean-Pierre Gossez, Liamidi Leadi
doaj
Discrete analogue of Fučik spectrum of the Laplacian
Journal of Computational and Applied Mathematics, 1999 The Fučík spectrum of the Laplacian with a Dirichlet boundary condition \((-\Delta u=\alpha u^+-\beta u^-)\) and the discrete analog of the Fučík spectrum for the matrix \(A\) \((M\)-matrices) are considered. This analog has properties similar to those of the continuum.
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Some Remarks on the Fučı́k Spectrum of the p-Laplacian and Critical Groups
Journal of Mathematical Analysis and Applications, 2001 To be published in J. Math. Anal.
Dancer, Norman, Perera, Kanishka
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