On some results of Moser and of Bangert
P. H. Rabinowitz, E. Stredulinsky (2004)
Annales de l'I.H.P. Analyse non linéaire
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P. H. Rabinowitz, E. Stredulinsky (2004)
Annales de l'I.H.P. Analyse non linéaire
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Mihai Bostan, Eric Sonnendrücker (2006)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We study the existence of spatial periodic solutions for nonlinear elliptic equations where is a continuous function, nondecreasing w.r.t. . We give necessary and sufficient conditions for the existence of periodic solutions. Some cases with nonincreasing functions are investigated as well. As an application we analyze the mathematical model of electron beam focusing system and we prove the existence of positive periodic solutions for the envelope equation. We present also numerical...
Antonio Gaudiello, Rejeb Hadiji (2009)
Annales de l'I.H.P. Analyse non linéaire
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Jaeyoung Byeon, Zhi-Qiang Wang (2009)
Annales de l'I.H.P. Analyse non linéaire
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Mikil Foss, Giuseppe Mingione (2008)
Annales de l'I.H.P. Analyse non linéaire
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Paul H. Rabinowitz (2002)
ESAIM: Control, Optimisation and Calculus of Variations
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This paper uses minimization methods and renormalized functionals to find spatially heteroclinic solutions for some classes of semilinear elliptic partial differential equations