Bifurcation and symmetry breaking in a nonlinear elliptic equation in a cylinder

DOI10.1016/0362-546X(94)90024-8zbMath0797.35014MaRDI QIDQ4290951

Thomas Lachand-Robert

Publication date: 18 October 1994

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

multiple solutionssemilinear elliptic equationsymmetry breakingmonotonicity of minimizers

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) Bifurcations in context of PDEs (35B32)

Cites Work

• Symmetry properties for positive solutions of elliptic equations with mixed boundary conditions
• Symmetry and related properties via the maximum principle
• Dual variational methods in critical point theory and applications
• Some global results for nonlinear eigenvalue problems
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• A priori bounds for positive solutions of nonlinear elliptic equations
• Global and local behavior of positive solutions of nonlinear elliptic equations
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