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- Title
A Note on the Strong Maximum Principle for Fully Nonlinear Equations on Riemannian Manifolds.
- Authors
Goffi, Alessandro; Pediconi, Francesco
- Abstract
We investigate strong maximum (and minimum) principles for fully nonlinear second-order equations on Riemannian manifolds that are non-totally degenerate and satisfy appropriate scaling conditions. Our results apply to a large class of nonlinear operators, among which Pucci's extremal operators, some singular operators such as those modeled on the p- and ∞ -Laplacian, and mean curvature-type problems. As a byproduct, we establish new strong comparison principles for some second-order uniformly elliptic problems when the manifold has nonnegative sectional curvature.
- Publication
Journal of Geometric Analysis, 2021, Vol 31, Issue 8, p8641
- ISSN
1050-6926
- Publication type
Article
- DOI
10.1007/s12220-021-00607-2