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Order Structure And Topological Methods In Nonlinear Partial Differential Equations: Vol. 1: Maximum Principles And Applications

Af: Yihong Du Engelsk Hardback

Order Structure And Topological Methods In Nonlinear Partial Differential Equations: Vol. 1: Maximum Principles And Applications

Af: Yihong Du Engelsk Hardback
Tjek vores konkurrenters priser
The maximum principle induces an order structure for partial differential equations, and has become an important tool in nonlinear analysis. This book is the first of two volumes to systematically introduce the applications of order structure in certain nonlinear partial differential equation problems.The maximum principle is revisited through the use of the Krein-Rutman theorem and the principal eigenvalues. Its various versions, such as the moving plane and sliding plane methods, are applied to a variety of important problems of current interest. The upper and lower solution method, especially its weak version, is presented in its most up-to-date form with enough generality to cater for wide applications. Recent progress on the boundary blow-up problems and their applications are discussed, as well as some new symmetry and Liouville type results over half and entire spaces. Some of the results included here are published for the first time.
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The maximum principle induces an order structure for partial differential equations, and has become an important tool in nonlinear analysis. This book is the first of two volumes to systematically introduce the applications of order structure in certain nonlinear partial differential equation problems.The maximum principle is revisited through the use of the Krein-Rutman theorem and the principal eigenvalues. Its various versions, such as the moving plane and sliding plane methods, are applied to a variety of important problems of current interest. The upper and lower solution method, especially its weak version, is presented in its most up-to-date form with enough generality to cater for wide applications. Recent progress on the boundary blow-up problems and their applications are discussed, as well as some new symmetry and Liouville type results over half and entire spaces. Some of the results included here are published for the first time.
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Produktdetaljer
Sprog: Engelsk
Sider: 200
ISBN-13: 9789812566249
Indbinding: Hardback
Udgave:
ISBN-10: 9812566244
Kategori: Differentialregning & ligninger
Udg. Dato: 13 jan 2006
Længde: 0mm
Bredde: 0mm
Højde: 0mm
Forlag: World Scientific Publishing Co Pte Ltd
Oplagsdato: 13 jan 2006
Forfatter(e): Yihong Du
Forfatter(e) Yihong Du

Kategori Differentialregning & ligninger

ISBN-13 9789812566249

Sprog Engelsk

Indbinding Hardback

Sider 200

Udgave

Længde 0mm

Bredde 0mm

Højde 0mm

Udg. Dato 13 jan 2006

Oplagsdato 13 jan 2006

Forlag World Scientific Publishing Co Pte Ltd