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

DOI10.2996/kmj/1138043428zbMath0923.35062OpenAlexW1987428811MaRDI QIDQ1906561

Shin Ozawa, Susumu Roppongi

Publication date: 1 February 1996

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138043428

zbMATH Keywords

positive solutionsasymptotic behaviour

Mathematics Subject Classification ID

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

Related Items (1)

Domain perturbation for elliptic equations subject to Robin boundary conditions

Cites Work

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• On the number of positive solutions of some weakly nonlinear equations on annular regions
• 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 the ground state eigenvalue for a semilinear elliptic equation
• Singular variation of nonlinear eigenvalues. II
• Singular variation of domains and \(L^ \infty\) boundedness of eigenfunctions for some semi-linear elliptic equations
• \(L^ \infty\) boundedness of nonlinear eigenfunction under singular variation of domains
• Semilinear elliptic equations on singularly perturbed domains

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