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What is Catenoid Stability and Free Boundary Surfaces about?

This paper establishes a connection between free boundary minimal surfaces in a three-dimensional ball and free boundary cones in a one-phase problem, proving that a doubly connected minimal surface with free boundary is a catenoid. The authors also explore overdetermined boundary value problems and provide new results related to the one-phase free boundary problem. Key theorems are presented, including the characterization of solutions in terms of their geometric properties and connections to spectral prob

Author

kadir can erbaş

Language

EN