Decreasing streamlines of solutions and spectral properties of linearized operators for semilinear elliptic equations

DOI10.3792/PJAA.64.315zbMath0685.35044OpenAlexW2027451179MaRDI QIDQ1826028

Takashi Suzuki

Publication date: 1988

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.64.315

zbMATH Keywords

positive solutionsemilinear elliptic equationlinearized operator

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Estimates of eigenvalues in context of PDEs (35P15)

Cites Work

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• Single-point blow-up for semilinear parabolic equations in some non- radial domains
• Symmetry and related properties via the maximum principle
• Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems
• Quasilinear Dirichlet problems driven by positive sources
• Some problems in the theory of quasilinear equations

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