On the first eigenvalue of the š¯‘¯-Laplacian on Riemannian manifolds
Shoo Seto Ā· Contemporary mathematics - American Mathematical Society Ā· 2022
We survey results on the first (nontrivial) eigenvalue of the p p -Laplace operator for both the Dirichlet and Neumann/closed condition on Riemannian manifolds. We also discuss an extension of the p p -Laplace operator to act on differential forms. Some potential future directions of work are also given.