Yamabe-type Equations on Complete, Noncompact Manifolds: 302 by Paolo Mastrolia,Marco Rigoli,Alberto G Setti

By Paolo Mastrolia,Marco Rigoli,Alberto G Setti

The target of this monograph is to provide a self-contained advent to a couple geometric and analytic elements of the Yamabe challenge. The ebook additionally describes quite a lot of equipment and strategies that may be effectively utilized to nonlinear differential equations in fairly hard events. Such occasions happen the place the shortcoming of compactness, symmetry and homogeneity prevents using extra common instruments mostly utilized in compact occasions or for the Euclidean environment. The paintings is written in a simple kind that makes it available even to non-specialists.

After a self-contained therapy of the geometric instruments utilized in the booklet, readers are brought to the most topic through a concise yet transparent examine of a few points of the Yamabe challenge on compact manifolds. This learn offers the incentive and geometrical feeling for the next a part of the paintings. frequently physique of the booklet, it's proven how the geometry and the research of nonlinear partial differential equations mix jointly to offer updated effects on lifestyles, nonexistence, forte and a priori estimates for strategies of normal Yamabe-type equations and inequalities on entire, non-compact Riemannian manifolds.

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