2 papers
math.DG2026
Heintze--Karcher-Type Inequalities for the -Laplacian and Serrin-Type Rigidity
Matheus Nunes Soares, Weiller F. Chaves Barboza
We establish a parameterized Heintze--Karcher-type inequality for positive solutions of nonlinear Dirichlet problems involving the -Laplacian, with , on bounded Riemanni…
math.DG2026
A Gage-type estimate for the -fundamental tone and applications to submanifolds
Matheus Nunes Soares, Fábio reis dos Santos
A generalization of the classical Gage's upper bound for the fundamental tone of the Laplacian on complete non-compact Riemannian manifolds to the -Laplacian context is obtained…