Singular variation of domains and \(L^ \infty\) boundedness of eigenfunctions for some semi-linear elliptic equations

DOI10.3792/PJAA.70.67zbMath0799.35088OpenAlexW1966376114MaRDI QIDQ1330245

Shin Ozawa, Susumu Roppongi

Publication date: 14 November 1994

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

Full work available at URL: https://doi.org/10.3792/pjaa.70.67

zbMATH Keywords

semilinear elliptic equationssingular variation of domains

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Singular perturbations in context of PDEs (35B25) A priori estimates in context of PDEs (35B45)

Related Items (1)

Singular variation of domains and continuity property of eigenfunction for some semi-linear elliptic equations

Cites Work

• Asymptotic property of an eigenfunction of the Laplacian under singular variation of domains - the Neumann condition -
• Singular variation of the ground state eigenvalue for a semilinear elliptic equation
• \(L^ \infty\) boundedness of nonlinear eigenfunction under singular variation of domains
• Semilinear elliptic equations on singularly perturbed domains

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