Periodic solutions for nonlinear elliptic equations. Application to charged particle beam focusing systems

DOI10.1051/m2an:2006039zbMath1133.78307OpenAlexW2152885195MaRDI QIDQ3444606

Eric Sonnendrücker, Mihai Bostan

Publication date: 4 June 2007

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=M2AN_2006__40_6_1023_0

zbMATH Keywords

periodic solutionsexistence and uniquenessnonlinear elliptic equationselectron beam focusing system

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Periodic solutions to PDEs (35B10) Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Motion of charged particles (78A35)

Uses Software

• Vador

Cites Work

• Paraxial approximation of ultrarelativistic intense beams
• Problèmes unilateraux
• Solutions périodiques des équations d'évolution
• ON THE PARAXIAL APPROXIMATION OF THE STATIONARY VLASOV-MAXWELL SYSTEM
• PARAXIAL APPROXIMATION OF THE VLASOV-MAXWELL SYSTEM: LAMINAR BEAMS
• Existence of positive periodic solution for the electron beam focusing system
• MODELING AND NUMERICAL SIMULATION OF SPACE CHARGE DOMINATED BEAMS IN THE PARAXIAL APPROXIMATION
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