On rapidly oscillating solutions of a nonlinear elliptic equation

DOI10.1515/ms-2021-0062zbMath1481.35025OpenAlexW4200522224MaRDI QIDQ2063358

Houssem Eddine Kadem, Saida Bendaas

Publication date: 11 January 2022

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ms-2021-0062

zbMATH Keywords

vector fieldstroboscopic methodreduced problemnon standard analysis (NSA)solutions on a spherical crown

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Semilinear elliptic equations (35J61)

Cites Work

• Nonstandard asymptotic analysis
• Phase-plane solutions to some singular perturbation problems
• Nonstandard analysis. A practical guide with applications
• Nonstandard analysis in practice
• Asymptotic solutions of singular perturbation problems for linear differential equations of elliptic type
• INTERIOR TRANSITION LAYERS FOR ELLIPTIC BOUNDARY VALUE PROBLEMS WITH A SMALL PARAMETER
• Internal set theory: A new approach to nonstandard analysis
• Periodic Wave Shock solutions of Burgers equations
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