Singular variation of the ground state eigenvalue for a semilinear elliptic equation

DOI10.2748/TMJ/1178225889zbMath0799.35087OpenAlexW2024564716MaRDI QIDQ1313225

Shin Ozawa

Publication date: 7 February 1994

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178225889

zbMATH Keywords

domains with small holes

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Variational methods for second-order elliptic equations (35J20)

Related Items (5)

Singular variation of domains and \(L^ \infty\) boundedness of eigenfunctions for some semi-linear elliptic equations ⋮ The Hadamard variation of the ground state value of some quasi-linear elliptic equations ⋮ Singular variation of domains and continuity property of eigenfunction for some semi-linear elliptic equations ⋮ Spectra of the Laplacian with small Robin conditional boundary ⋮ Singular variation of nonlinear eigenvalues. II

Cites Work

• Unnamed Item
• Unnamed Item
• The effect of domain shape on the number of positive solutions of certain nonlinear equations
• Symmetry and related properties via the maximum principle
• Singular variation of nonlinear eigenvalues
• The Hadamard variational formula for the ground state value of \(- {\Delta{}}u={\lambda{}}|{}u|{}^{p-1}u\)
• Nonlinear eigenvalue problem and singular variation of domains
• Singular variation of domain and spectra of the Laplacian with small Robin conditional boundary. I
• Semilinear elliptic equations on singularly perturbed domains

This page was built for publication: Singular variation of the ground state eigenvalue for a semilinear elliptic equation