Asymptotic expansion of solutions to nonlinear elliptic eigenvalue problems

DOI10.1090/S0002-9939-05-08114-1zbMath1210.35113OpenAlexW1605850887MaRDI QIDQ4674757

Tetsutaro Shibata

Publication date: 18 May 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-05-08114-1

zbMATH Keywords

asymptotic expansionnonlinear eigenvalue problem

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Continuation and prolongation of solutions to PDEs (35B60) Semilinear elliptic equations (35J61)

Related Items (1)

Precise asymptotics of boundary layers for damped simple pendulum equations

Cites Work

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• Singular perturbation methods for ordinary differential equations
• Phase-plane solutions to some singular perturbation problems
• Asymptotic expansion of the boundary layers of the perturbed simple pendulum problems
• Precise spectral asymptotics for the Dirichlet problem \(-u(t)+g(u(t))=\lambda\sin u(t)\)
• Topics in stability and bifurcation theory
• Singularly perturbed semilinear elliptic boundary value problems
• Boundary-interior layer interactions in nonlinear singular perturbation theory

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