Existence of the perturbed solutions of semilinear elliptic equation in the singularly perturbed domains

DOI10.3792/pjaa.64.33zbMath0699.35076OpenAlexW2046508918MaRDI QIDQ913095

Shuichi Jimbo

Publication date: 1988

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1195513391

zbMATH Keywords

semilinear Laplace equationsingularly perturbed domains

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Perturbations in context of PDEs (35B20)

Related Items (1)

The singularly perturbed domain and the characterization for the eigenfunctions with Neumann boundary condition

Cites Work

• The singularly perturbed domain and the characterization for the eigenfunctions with Neumann boundary condition
• A nonlinear parabolic equation with varying domain
• Characterization of the eigenfunctions in the singularly perturbed domain
• Singular perturbation of domains and the semilinear elliptic equation. II
• Asymptotic behavior and stability of solutions of semilinear diffusion equations
• Bifurcations caused by perturbing the domain in an elliptic equation
• Characterization of the eigenfunctions in the singularly perturbed domain. II

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