A symmetry-breaking problem in the annulus

DOI10.1080/00036819108840005zbMath0757.35005OpenAlexW2049548503WikidataQ58269681 ScholiaQ58269681MaRDI QIDQ3979933

Xabier Garaizar

Publication date: 26 June 1992

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819108840005

zbMATH Keywords

radial solutionsLaplace equationsemilinear elliptic equationdegeneracyhomogeneous Dirichlet boundary conditionsConley index argumentnonradial (asymmetric) solutions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Spectral theory and eigenvalue problems for partial differential equations (35P99) Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Bifurcations in context of PDEs (35B32)

Cites Work

• Unnamed Item
• Symmetry-breaking for solutions of semilinear elliptic equations with general boundary conditions
• Existence of positive radial solutions for semilinear elliptic equations in the annulus
• Existence of positive solutions for semilinear elliptic equations in general domains
• Bifurcation and symmetry-breaking
• On Non-Radially Symmetric Bifurcation
• On the Existence of Positive Solutions of Semilinear Elliptic Equations

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