Heintze--Karcher-Type Inequalities for the $p$-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 $p$-Laplacian, with $p\ge 2$, on bounded Riemanni…