G. Setti's Books

Yamabe-type Equations on Complete, Noncompact Manifolds

By: Paolo Mastrolia,Marco Rigoli,Alberto G Setti

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Yamabe-type Equations on Complete, Noncompact Manifolds

By: Paolo Mastrolia,Marco Rigoli,Alberto G Setti

The aim of this monograph is to present a self-contained introduction to some geometric and analytic aspects of the Yamabe problem. The book also describes a wide range of methods and techniques that can be successfully applied to nonlinear differential equations in particularly challenging situations. Such situations occur where the lack of compactness, symmetry and homogeneity prevents the use of more standard tools typically used in compact situations or for the Euclidean setting. The work is written in an easy style that makes it accessible even to non-specialists. After a self-contained treatment of the geometric tools used in the book, readers are introduced to the main subject by means of a concise but clear study of some aspects of the Yamabe problem on compact manifolds. This study provides the motivation and geometrical feeling for the subsequent part of the work. In the main body of the book, it is shown how the geometry and the analysis of nonlinear partial differential equations blend together to give up-to-date results on existence, nonexistence, uniqueness and a priori estimates for solutions of general Yamabe-type equations and inequalities on complete, non-compact Riemannian manifolds.

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Page Count

261

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3034803761

ISBN 13

9783034803762

Vanishing and Finiteness Results in Geometric Analysis

A Generalization of the Bochner Technique

By: Stefano Pigola,Marco Rigoli,Alberto G Setti

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Vanishing and Finiteness Results in Geometric Analysis

A Generalization of the Bochner Technique

By: Stefano Pigola,Marco Rigoli,Alberto G Setti

This book describes very recent results involving an extensive use of analytical tools in the study of geometrical and topological properties of complete Riemannian manifolds. It analyzes in detail an extension of the Bochner technique to the non compact setting, yielding conditions which ensure that solutions of geometrically significant differential equations either are trivial (vanishing results) or give rise to finite dimensional vector spaces (finiteness results). The book develops a range of methods, from spectral theory and qualitative properties of solutions of PDEs, to comparison theorems in Riemannian geometry and potential theory.

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Page Count

294

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3764386428

ISBN 13

9783764386429

Quasars, Agns, and Related Research Across 2000

Conference on the Occasion of L. Woltjer's 70th Birthday Held at the Accademia Nazionale Dei Lincei, Rome, Italy 3-5 May 2000

By: Lodewijk Woltjer,G. Setti,J.-P. Swings

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Quasars, Agns, and Related Research Across 2000

Conference on the Occasion of L. Woltjer's 70th Birthday Held at the Accademia Nazionale Dei Lincei, Rome, Italy 3-5 May 2000

By: Lodewijk Woltjer,G. Setti,J.-P. Swings

The proceedings of the international conference held in honor or Lodewijk Woltjer, focus on the physics, origin and space distribution of AGNs and quasars and their relationship to the environment, a very wide subject which has attracted much of Lodewijk Wolter's research interest. A number of lectures were also dedicated to reviewing the recent observational advances and those that may be attained by the introduction of new and powerful astronomical instrumentation both from the ground and from space, in recognition of the central role played by L. Woltjer in the promotion of the ESO VLT and of his involvement in shaping ESA's space programme Horizon 2000+.

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Page Count

248

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540421912

ISBN 13

9783540421917

Book's by G. Setti

Yamabe-type Equations on Complete, Noncompact Manifolds

Yamabe-type Equations on Complete, Noncompact Manifolds

Vanishing and Finiteness Results in Geometric Analysis

Vanishing and Finiteness Results in Geometric Analysis

Quasars, Agns, and Related Research Across 2000

Quasars, Agns, and Related Research Across 2000

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