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Monday, November 30, 2020 | History

2 edition of Yamabe-type Equations on Complete, Noncompact Manifolds found in the catalog.

Yamabe-type Equations on Complete, Noncompact Manifolds

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  • 27 Currently reading

Published by Springer Basel, Imprint: Birkhäuser in Basel .
Written in English

    Subjects:
  • Global differential geometry,
  • Mathematics,
  • Global analysis (Mathematics),
  • Differential Geometry,
  • Global Analysis and Analysis on Manifolds

  • Edition Notes

    Statementby Paolo Mastrolia, Marco Rigoli, Alberto G Setti
    SeriesProgress in Mathematics -- 302
    ContributionsRigoli, Marco, Setti, Alberto G., SpringerLink (Online service)
    Classifications
    LC ClassificationsQA641-670
    The Physical Object
    Format[electronic resource] /
    ID Numbers
    Open LibraryOL27096598M
    ISBN 109783034803762

    And study the solution of the Yamabe equation which depends only on the Euclidean factor. We show that there exists a constant $\lambda (m,n)$ such that the solution is stable if and only if $\lambda_1 \geq \lambda (m,n)$, where $\lambda_1$ is .


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Yamabe-type Equations on Complete, Noncompact Manifolds by Paolo Mastrolia Download PDF EPUB FB2

Yamabe-type Equations on Complete, Noncompact Manifolds (Progress in Mathematics Book ) - Kindle edition by Mastrolia, Paolo, Rigoli, Marco, Setti, Alberto G. Download it once and read it on your Kindle device, PC, phones or tablets.

Use features like bookmarks, note taking and highlighting while reading Yamabe-type Equations on Complete, Noncompact Manifolds (Progress in Mathematics Book. 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.

Get this from a library. Yamabe-type equations on Yamabe-type Equations on Complete, noncompact manifolds. [Paolo Mastrolia; Marco Rigoli; Alberto G Setti].

springer, 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.

Find many great new & used options and get the best deals for Progress in Mathematics Ser.: Yamabe-Type Equations on Complete, Noncompact Manifolds by Marco Rigoli, Paolo Mastrolia and Alberto G. Setti (, Hardcover) at the best online prices at eBay.

Free shipping for many products. Yamabe-type Equations on Complete, Noncompact Manifolds, Alberto G. Setti EAN: / ISBN: Prijs: € Voeg toe aan je winkelwagen. Download Yamabe-Type Equations On Complete, Noncompact Manifolds always, the download yamabe-type equations on will please and do advanced ones from destination and codes.

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Let Noncompact Manifolds book n, g) be a complete noncompact n-dimensional Riemannian this paper, we consider the following Yamabe-type parabolic equation u t = Δ u + a u + b u α on M n × [0, ∞).We give a global gradient estimate of Hamilton-type for positive smooth solutions of this equation provided that Ricci curvature bounded from below.

Part of the Progress in Mathematics book series (PM solutions of the Yamabe-type equation $$ \Delta u + a(x)u-b(x)u^{\sigma} \geq 0, \,\,\,\, \sigma > 1 $$ () on the complete, noncompact, manifold M. Existence is obtained by various versions of the monotone iteration scheme (see the appendix at the end of the chapter) and we consequently.

Book Conference Paper Thesis Filtra per tipo accesso: uniqueness and existence of positive solutions of Yamabe type equations on complete manifolds. JOURNAL OF FUNCTIONAL ANALYSIS. Yamabe-type equations on complete, noncompact manifolds.

Springer Basel. Book. NCRWUK48NJRT \ Kindle ^ Yamabe-type Equations on Complete, Noncompact Manifolds Yamabe-type Equations on Complete, Noncompact Manifolds Filesize: MB Reviews This is the finest book i have got go through right up until now. I have got read and i also am confident that i am going to planning to read once again yet again in the future.

Grigor’yan, Y. Lin and Y. Yang, Yamabe type equations on graphs, J. Differential Equations (9) () – Crossref, Google Scholar; A. Grigor’yan, Y. Lin and Y. Yang, Existence of positive solutions to some nonlinear equations on locally finite graphs, Sci.

China Math. 60(7) () – Marco Rigoli: free download. Ebooks library. On-line books store on Z-Library | B–OK. Download books for free. Find books. Get this from a library. Yamabe-type equations on complete, noncompact manifolds. [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. Suppose that f is a constant, the equation () Δ u + p (x) u + q (x) u α = 0, α > 1 is equivalent to Yamabe problem on noncompact Riemannian manifold by conformal deformation of the scalar curvature. The aim of this chapter is to prove a number of very general nonexistence results for Yamabe-type inequalities of the form $$ \Delta u + a(x)u-b(x)u^{\sigma} \geq 0 $$ on complete, noncompact.

During the past two decades representations of noncompact Lie groups and Lie algebras have been studied extensively, and their application to other branches of mathematics and to physical sciences has increased enormously.

Several theorems which were proved in the abstract now carry definite mathematical and physical sig nificance. Several physical observations which. Yamabe-Type Equations on Complete, Noncompact Manifolds. Progress in Mathematics.

vol. Birkhäuser Verlag, Basel Positive solutions of Yamabe type equations on complete manifolds and applications. Funct. Anal. Lichnerowicz-type equations on complete manifolds.

Article. Full-text available. Book. Jan ; A new open form of the weak maximum principle and geometric applications Yamabe-type. Symmetry properties of positive entire solutions of Yamabe-type equations on groups of Heisenberg type Garofalo, Nicola and Vassilev, Dimiter, Duke Mathematical Journal, ; A Perturbed CR Yamabe Equation on the Heisenberg Group SAOTOME, Takanari, Tokyo Journal of Mathematics, ; Changing-sign solutions for the CR-Yamabe equation Maalaoui, Ali.

Yamabe-type Equations on Complete, Noncompact Manifolds By Paolo Mastrolia, Marco Rigoli and Alberto G Setti No static citation data No static citation data Cite. Yamabe-type equations on complete, noncompact manifolds to non-specialists a range of methods and techniques that can be successfully applied to nonlinear differential equations in situations where the lack of compactness and of symmetry and homogeneity prevents the use of more standard tools typical of compact situations or of the.

Yamabe-type equations on complete, noncompact manifolds () Differential geometry of lightlike submanifolds () Heat kernel and analysis on manifolds ().

Reports. This example shows the general structure used for government reports, technical reports, and scientific reports. If you can't locate the report number then it might be better to cite the report as a book. For reports it is usually not individual people that are credited as authors, but a governmental department or agency like "U.

Food and Drug Administration" or. Yamabe-type Equations on Complete, Noncompact Mani. Yamabe-type equations on complete, noncompact. Please note carbs and inlet manifold soold. We have had excellent feedback from customers who have used naturtint reflex after their chemotherapy has finished.

We study the uniformization conjecture of Yau by using the Gromov-Hausdorff convergence. As a consequence, we confirm Yau’s finite generation conjecture. More precisely, on a complete noncompact Kähler manifold with nonnegative bisectional curvature, the ring of polynomial growth holomorphic functions is finitely generated.

Book Thesis Filtra per tipo accesso: Liouville theorems and gradient estimates on complete manifolds. NONLINEAR ANALYSIS. Academic Article.

Maximum Principles and Geometric Applications. Springer Verlag. Book. Yamabe-type equations on complete, noncompact manifolds. Springer Basel.

Book. GRADIENT ESTIMATES AND LIOUVILLE. Abstract: We establish local elliptic and parabolic gradient estimates for positive smooth solutions to a nonlinear parabolic equation on a smooth metric measure space. As applications, we determine various conditions on the equation's coefficients and the growth of solutions that guarantee the nonexistence of nontrivial positive smooth solutions to many special cases of the nonlinear equation.

Euclidean version of equation (2). It su ces to set 1 throughout, and replace Hn with the standard Laplace operator of Rm:Even in this case our results appear to be new.

(For related results in the setting of complete noncompact Riemannian manifolds, however, see [10] and [1].) Next sections contain the statements of our main results. Nonlinear parabolic problems on manifolds, and a nonexistence result for the noncompact Yamabe problem.

Electronic Research Announcements,3: [15] Alexander Quaas, Aliang Xia. Existence and uniqueness of positive solutions for a class of logistic type elliptic equations in $\mathbb{R}^N$ involving fractional Laplacian. noncompact (S is still constant), Z. Jin [23] gave examples of complete metrics on t˜ he noncompact manifold on which there do not exist a positive smooth solution of ().

When ˜S is a smooth function, the geometry of manifolds plays a large role in t he existence and nonexistence of positive solutions of () on compact or noncompact. WHEN DOES A SCHR\"ODINGER HEAT EQUATION PERMIT POSITIVE SOLUTIONS, Proceedings of International Conference on Boundary value problems, BeijingWorld Sci.

Pub. pdf file. An obstruction to prescribing positive scalar curvature on complete manifolds with Ricci >=0, p in Evolution Equations, Marcel Dekker 1. Discover Book Depository's huge selection of G Setti books online. Free delivery worldwide on over 20 million titles. A partial solution of the quaternionic contact Yamabe problem on the quaternionic sphere is given.

It is shown that the torsion of the Biquard connection vanishes exactly when the trace-free part of the horizontal Ricci tensor of the Biquard connection is zero and this occurs precisely on 3-Sasakian manifolds. All conformal transformations sending the standard flat torsion-free.

Best constants problems for complete noncompact manifolds are discussed in Chapter 7. Chapter 8 deals with Euclidean-type Sobolev inequalities. And Chapter 9 discusses the influence of symmetries on Sobolev embeddings. An appendix offers brief notes on the case of manifolds with boundaries.

These estimates are related to the Cheng–Yau estimate for the Laplace equation and Hamilton's estimate for bounded solutions to the heat equation on compact manifolds.

As applications, we generalize Yau's celebrated Liouville theorem for positive harmonic functions to positive ancient (including eternal) solutions of the heat equation, under.

Mazepa, Solvability of Boundary Value Problems for Poisson’s Equation in Unbounded Domains on Noncompact Riemannian Manifolds, Differential Equations, /S, 56, 3, (), (). Full text of "On Complete Noncompact K\"{a}hler Manifolds with Positive Bisectional Curvature" See other formats arXiv:math/vl [] 24 Nov On Complete Noncompact Kahler Manifolds with Positive Bisectional Curvature Bing-Long Chen and Xi-Ping Zhn Department of Mathematics, Zhongshan University, GuangzhouP.

China The. On the CR Poincaré–Lelong Equation, Yamabe Steady Solitons and Structures of Complete Noncompact Sasakian Manifolds Der Chen Chang, Shu Cheng Chang.

Search this site. Márcio Batista. Home. Yamabe-type Equations on Complete, Noncompact Manifolds - Progress in Mathematics (Paperback) Paolo Mastrolia £ Paperback.Semilinear elliptic equations on complete manifolds with boundary with some applications to Geometry and General Relativity Yamabe-type equations and applications to Geometry 77 A Schwarz-type Lemma 78 More on @-rigidity 81 for noncompact manifolds with boundary.

On the other hand, a careful analysis of the.Prove that a noncompact manifold is complete if and only if every divergent curve has unbounded (i.e. infinite) length. I proved that if M is Complete Every divergent curve has unbounded length.

But i don't know how i prove the reciprocal.