Results 61 to 70 of about 1,211,113 (146)
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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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
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A Study of Isosorbide Synthesis from Sorbitol for Material Applications Using Isosorbide Dimethacrylate for Enhancement of Bio-Based Resins. [PDF]
Polymers (Basel), 2023 Jašek V +5 more
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, 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
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