Interior transition layers of solutions to the perturbed elliptic sine-Gordon equation on an interval

DOI10.1007/BF02790258zbMath0990.34016OpenAlexW2082677061MaRDI QIDQ5941784

Tetsutaro Shibata

Publication date: 2 August 2002

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02790258

zbMATH Keywords

eigenvalue probleminterior transition layersLagrange multiplier theoremsine-Gordon elliptic equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Second-order nonlinear hyperbolic equations (35L70) Perturbations of ordinary differential equations (34D10) Asymptotic properties of solutions to ordinary differential equations (34D05) Parameter dependent boundary value problems for ordinary differential equations (34B08) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (5)

Layer structures for the solutions to the perturbed simple pendulum problems ⋮ A note on interface formation in singularly perturbed elliptic problems ⋮ Asymptotic expansion of the variational eigencurve for two-parameter simple pendulum-type equations ⋮ Asymptotic behavior of eigenvalues for two-parameter perturbed elliptic sine-Gordon type equations ⋮ Precise Asymptotic Properties of Solutions to Two-Parameter Elliptic Eigenvalue Problems in a Ball

Cites Work

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• An introduction to partial differential equations
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• Bifurcation from eigencurves of the \(p\)-Laplacian
• The nonlinear Klein-Gordon equation on an interval as a perturbed sine-Gordon equation
• Asymptotic behavior of eigenvalues of two-parameter nonlinear Sturm-Liouville problems
• Spectral asymptotics and bifurcation for nonlinear multiparameter elliptic eigenvalue problems
• Uniform convergence of multiparameter eigenfunction expansions
• Bifurcation from eigenvalues in nonlinear multiparameter problems

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