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On the First Curve in the Fučik Spectrum of a Mixed Problem
2020info:eu-repo/semantics ...
Gossez, Jean-Pierre, Marcos, A.
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A variational approach to nonresonance with respect to the Fučik spectrum
Nonlinear Analysis: Theory, Methods & Applications, 1992The paper is concerned with the periodic problem (1) \(-u''(t) = f(t,u(t))\) in \([0,2\pi]\), \(u(0) = u(2 \pi)\), \(u'(0) = u'(2\pi)\). The authors give sufficient conditions for the existence of at least one solution \(u\) of (1) in \(H^ 2(0,2\pi)\). The nonlinearity \(f(t,s)\) interferes in a certain sense with the associated Fučík spectrum.
Gossez, Jean-Pierre, Cuesta, M.
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1999
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The functional Fučik spectrum has empty interior
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2003We define a functional version of the Fučik spectrum for the Laplacian and we prove that this functional spectrum has empty interior.
Arias, Maite +3 more
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Nonlinear Analysis: Theory, Methods & Applications, 1990
This paper is concerned with the existence of periodic solutions for the equation \(x''(t)+g(t,x(t))=e(t)\) in the case where the nonlinearity g(t,s) lies asymptotically between 0 and one point \((Q_+,Q_ -)\) of the first branch of the Fučik spectrum, or between two points \((q_+,q_ -)\) and \((Q_+,Q_ -)\) of two consecutive branches of that spectrum ...
GOSSEZ J. P, OMARI, PIERPAOLO
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This paper is concerned with the existence of periodic solutions for the equation \(x''(t)+g(t,x(t))=e(t)\) in the case where the nonlinearity g(t,s) lies asymptotically between 0 and one point \((Q_+,Q_ -)\) of the first branch of the Fučik spectrum, or between two points \((q_+,q_ -)\) and \((Q_+,Q_ -)\) of two consecutive branches of that spectrum ...
GOSSEZ J. P, OMARI, PIERPAOLO
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Antimaximum principle and Fucik spectrum for the Neumann p-laplacian
2000info:eu-repo/semantics ...
Gossez, Jean-Pierre +2 more
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On the First Curve of the Fucik Spectrum of an Elliptic Operator with Weight
2002N Nakbi, Abdelfattah Touzani
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Nonresonance for a Nonautonomous Elliptic Problem with Respect to the Conical Fucik Spectrum
2002A Addou, B Bentahar, O Chakrone
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A generalization of the Amann-Zehnder theorem to nonresonance problems with jumping nonlinearities
Nonlinear Differential Equations and Applications, 2000Kanishka Perera
exaly

