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On the First Curve in the Fučik Spectrum of a Mixed Problem

2020
info:eu-repo/semantics ...
Gossez, Jean-Pierre, Marcos, A.
openaire   +2 more sources

A variational approach to nonresonance with respect to the Fučik spectrum

Nonlinear Analysis: Theory, Methods & Applications, 1992
The 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.
openaire   +3 more sources

The Fučík Spectrum

1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

The functional Fučik spectrum has empty interior

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2003
We 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
openaire   +3 more sources

Nonresonance with respect to the Fuc̆ik spectrum for periodic solutions of second order ordinary differential equations

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
openaire   +3 more sources

Antimaximum principle and Fucik spectrum for the Neumann p-laplacian

2000
info:eu-repo/semantics ...
Gossez, Jean-Pierre   +2 more
openaire   +1 more source

Sur le Spectre de Fucik du p-Laplacien

Comptes Rendus Mathematique, 1998
Mabel Cuesta   +2 more
exaly  

A generalization of the Amann-Zehnder theorem to nonresonance problems with jumping nonlinearities

Nonlinear Differential Equations and Applications, 2000
Kanishka Perera
exaly  

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