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  • Geometric Analysis of Quasilinear Inequalities on Complete Manifolds

    Maximum and Compact Support Principles and Detours on Manifolds

    Series series Mathematics and Statistics (R0)
    This book demonstrates the influence of geometry on the qualitative behaviour of solutions of quasilinear PDEs on Riemannian manifolds. Motivated by examples arising, among others, from the theory of submanifolds, the authors study classes of coercive elliptic differential inequalities on domains of a manifold M with very general nonlinearities depending on the variable x, on the solution u and on ... Read more

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  • Maximum Principles and Geometric Applications

    Series series Mathematics and Statistics (R0)
    This monograph presents an introduction to some geometric and analytic aspects of the maximum principle. In doing so, it analyses with great detail the mathematical tools and geometric foundations needed to develop the various new forms that are presented in the first chapters of the book. In particular, a generalization of the Omori-Yau maximum principle to a wide class of differential operators ... Read more

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