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An Introduction to Maximum Principles and Symmetry in Elliptic Problems Paperback (Cambridge Tracts in Mathematics) de L. E. Fraenkel

Descripción - Críticas Review of the hardback: 'The originality of this book mainly consists in new proofs and new extensions of quite well known results concerning maximum principles and symmetry properties related to semilinear elliptic equations.' Mathematical Reviews Reseña del editor The author of this 2000 volume proceeds from elementary facts about the linear case to recent results about positive solutions of non-linear elliptic equations, with minimal prerequisites in a style suited to graduate students. There is a plentiful supply of exercises, with detailed hints, some of which contain new results. Descripción del libro The author of this 2000 volume proceeds from elementary facts about the linear case to recent results about positive solutions of non-linear elliptic equations, with minimal prerequisites in a style suited to graduate students. There is a plentiful supply of exercises, with detailed hints, some of which contain new results.

Symmetrization and minimax principles communications in l e fraenkel , an introduction to maximum principles and symmetry in elliptic problems cambridge university press , cambridge , 2000 crossref 1 aug 2014 applied mathematics and computation, vol 241 An introduction to maximum principles and symmetry in get this from a library an introduction to maximum principles and symmetry in elliptic problems l e fraenkel this is the first book to present the basic theory of the symmetry of solutions to secondorder elliptic partial differential equations by means of the maximum principle it proceeds from elementary Reference request maximum principle for linear elliptic what is known about maximum principles for strongly elliptic linear differential operators of even order possibly higher than 2 by such an operator, i mean a linear differential operator with bounded coefficients whose principal symbol is positive actually, maybe multiplied by some power of 1 and uniformly bounded away from 0 in space

An introduction to maximum principles and symmetry in an introduction to maximum principles and symmetry in elliptic problems cambridge tracts in mathematics 9780511569203 fraenkel, l e books Maximum principles and symmetry results for a class of this paper is concerned with a class of boundary value problems for fully nonlinear elliptic pdes involving the phessian operator we first derive a maximum principle for a suitable function involving the solution ux and its gradient this maximum principle is then applied to obtain some sharp estimates for the solution and the magnitude of its gradient An introduction to maximum principles and symmetry in download citation an introduction to maximum principles and symmetry in elliptic problems preface 0 some notation, terminology and basic calculus 1 introduction 2 some maximum principles

Detalles del Libro

• Name: An Introduction to Maximum Principles and Symmetry in Elliptic Problems Paperback (Cambridge Tracts in Mathematics)
  
• Autor: L. E. Fraenkel
  
• Categoria: Libros,Ciencias, tecnología y medicina,Matemáticas
  
• Tamaño del archivo: 12 MB
  
• Tipos de archivo: PDF Document
  
• Idioma: Español
  
• Archivos de estado: AVAILABLE
  

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An introduction to maximum principles and symmetry in cambridge core real and complex analysis an introduction to maximum principles and symmetry in elliptic problems by l e fraenkel skip to main content we use cookies to distinguish you from other users and to provide you with a better experience on our websites A symmetry property for fully nonlinear elliptic equations the goal of this paper is to study how the symmetry of the spherical domain influences solutions of elliptic equations on such domain the method pursued is a variant of the moving plane method, discovered by alexandrov 1962 and used for differential equations by gidas, ni and nirenberg 1979 we obtain a reflectional symmetry result with respect to maxima and minima of solutions An introduction to maximum principles and symmetry in 1 introduction 11 a glimpse of objectives 12 what are maximum principles 13 on reflection in hyperplanes 14 what is symmetry 15 exercises page vii 1 17 17 19 24 27 32 2 some maximum principles for elliptic equations 39 21 linear elliptic operators of order two 39 22 the weak maximum principle 41

An introduction to maximum principles and symmetry in isbn 9780511569203 0511569203 oclc number 668201085 description 1 online resource 352 pages contents some notation, terminology and basic calculus 1introduction 2some maximum principles for elliptic equations 3symmetry for a nonlinear poisson equation in a symmetric set omega 4symmetry for the nonlinear poisson equation in rsuperscript n 5 An introduction to maximum principles and symmetry in buy an introduction to maximum principles and symmetry in elliptic problems cambridge tracts in mathematics on free shipping on qualified orders Pdf maximum principles for linear elliptic systems the maximum principle and then the antimaximum principle for the case of a single equation have been extensively studied later for cooperative elliptic systems see the references 1, 6, 7