Matheus N. Soares

Heintze--Karcher-Type Inequalities for the $p$-Laplacian and Serrin-Type Rigidity

We establish a parameterized Heintze--Karcher-type inequality for positive solutions of nonlinear Dirichlet problems involving the $p$-Laplacian, with $p\geq2$, on bounded Riemannian domains. Under a Ricci curvature lower bound, positive boundary mean curvature, and suitable structural and approximation assumptions, th...