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.
Read Online or Download Yamabe-type Equations on Complete, Noncompact Manifolds: 302 (Progress in Mathematics) PDF
Similar geometry & topology books
"Finsler Geometry: An technique through Randers areas" completely offers with a unique category of Finsler metrics -- Randers metrics, that are outlined because the sum of a Riemannian metric and a 1-form. Randers metrics derive from the learn on normal Relativity thought and feature been utilized in lots of components of the ordinary sciences.
The most purpose of this ebook is to explain and strengthen the conceptual, structural and summary taking into consideration arithmetic. particular mathematical constructions are used to demonstrate the conceptual method; offering a deeper perception into mutual relationships and summary universal positive aspects. those principles are rigorously inspired, defined and illustrated via examples in order that a number of the extra technical proofs could be passed over.
Bibliotheca Mathematica: a chain of Monographs on natural and utilized arithmetic, quantity VII: smooth basic Topology makes a speciality of the tactics, operations, ideas, and methods hired in natural and utilized arithmetic, together with areas, cardinal and ordinal numbers, and mappings. The book first elaborates on set, cardinal and ordinal numbers, uncomplicated recommendations in topological areas, and numerous topological areas.
Fractal features, Fractal Surfaces, and Wavelets, moment version, is the 1st systematic exposition of the speculation of neighborhood iterated functionality structures, neighborhood fractal services and fractal surfaces, and their connections to wavelets and wavelet units. The ebook relies on Massopust’s paintings on and contributions to the speculation of fractal interpolation, and the writer makes use of a few tools—including research, topology, algebra, and chance theory—to introduce readers to this intriguing topic.
- A Course in Modern Geometries (Undergraduate Texts in Mathematics)
- Geometric Procedures for Civil Engineers
- The Four Pillars of Geometry (Undergraduate Texts in Mathematics)
- Noncommutative Geometry and Physics 3: 1 (Keio COE Lecture Series on Mathematical Science)
Extra resources for Yamabe-type Equations on Complete, Noncompact Manifolds: 302 (Progress in Mathematics)