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Singular variation of nonlinear eigenvalues

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Publication:1201503
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DOI10.3792/pjaa.68.154zbMath0809.35068OpenAlexW1998108992MaRDI QIDQ1201503

Shin Ozawa

Publication date: 17 January 1993

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.68.154

zbMATH Keywords

semilinear elliptic boundary value problem


Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30)


Related Items

Nonlinear eigenvalue problem and singular variation of domains, Singular variation of the ground state eigenvalue for a semilinear elliptic equation, Singular variation of nonlinear eigenvalues. II



Cites Work

  • 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
  • Neumann problems of semilinear elliptic equations involving critical Sobolev exponents
  • 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
  • Semilinear elliptic equations on singularly perturbed domains
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