Zero-homogeneous and O(2)-equivariant critical points of the Oseen-Frank energy with multiple Frank constants

Book section

We give an existence and classification result for zero-homogeneous and O(2)-equivariant critical points of the Oseen-Frank energy with multiple Frank constants. These critical points carry a topological defect of degree one and are minimizing with respect to O(2)-equivariant perturbations supported away from the axis of symmetry

Authors: Nguyen, L

• Publication status: Accepted
• Peer review status: Peer reviewed
• Publisher: Springer
• Series: Lecture Notes in Mathematics
• Acceptance date: 2025-10-01
• EISSN: 1617-9692
• ISSN: 0075-8434
• Language: English
• Keywords: critical points; Oseen-Frank energy; O(2)-equivariant; point defects; axial symmetry.