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An introduction to nonlinear analysis and elliptic problem/ (Record no. 185929)

MARC details
000 -LEADER
fixed length control field	00376nam a2200133Ia 4500
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number	9780817681135
040 ## - CATALOGING SOURCE
Transcribing agency	CUS
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number	515.355
Item number	AMB/I
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name	Ambrosetti, Antonio.
245 #3 - TITLE STATEMENT
Title	An introduction to nonlinear analysis and elliptic problem/
Statement of responsibility, etc.	Antonio Ambrosetti, David Arcoya
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc.	Bostan:
Name of publisher, distributor, etc.	Birkhauser,
Date of publication, distribution, etc.	2011.
300 ## - PHYSICAL DESCRIPTION
Extent	xii, 199 p. ;
Dimensions	24 cm.
440 ## - SERIES
Title	Progress in nonlinear differential equations and their applications, 82.
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note	Machine generated contents note: <br/>1.Preliminaries --<br/>1.1.Sobolev Spaces --<br/>1.1.1.Embedding Theorems --<br/>1.2.Linear Elliptic Equations --<br/>1.2.1.Frechet Differentiability --<br/>1.2.2.Nemitski Operators --<br/>1.2.3.Dirichlet Principle --<br/>1.2.4.Regularity of the Solutions --<br/>1.2.5.The Inverse of the Laplace Operator --<br/>1.3.Linear Elliptic Eigenvalue Problems --<br/>1.3.1.Linear Compact Operators --<br/>1.3.2.Variational Characterization of The Eigenvalues --<br/>2.Some Fixed Point Theorems --<br/>2.1.The Banach Contraction Principle --<br/>2.2.Increasing Operators --<br/>3.Local and Global Inversion Theorems --<br/>3.1.The Local Inversion Theorem --<br/>3.2.The Implicit Function Theorem --<br/>3.3.The Lyapunov-Schmidt Reduction --<br/>3.4.The Global Inversion Theorem --<br/>3.5.A Global Inversion Theorem with Singularities --<br/>4.Leray-Schauder Topological Degree --<br/>4.1.The Brouwer Degree --<br/>4.2.The Leray-Schauder Topological Degree --<br/>4.2.1.Index of an Isolated Zero and Computation by Linearization --<br/>4.3.Continuation Theorem of Leray-Schauder --<br/>4.3.1.A Topological Lemma --<br/>4.3.2.A Theorem by Leray and Schauder --<br/>4.4.Other Continuation Theorems --<br/>5.An Outline of Critical Points --<br/>5.1.Definitions --<br/>5.2.Minima --<br/>5.3.The Mountain Pass Theorem --<br/>5.4.The Ekeland Variational Principle --<br/>5.5.Another Min-Max Theorem --<br/>5.6.Some Perturbation Results --<br/>6.Bifurcation Theory --<br/>6.1.Local Results --<br/>6.1.1.Bifurcation from a Simple Eigenvalue --<br/>6.1.2.Bifurcation from an Odd Eigenvalue --<br/>6.2.Bifurcation for Variational Operators --<br/>6.2.1.A Krasnoselskii Theorem for Variational Operators --<br/>6.2.2.Branching Points --<br/>6.3.Global Bifurcation --<br/>7.Elliptic Problems and Functional Analysis --<br/>7.1.Nonlinear Elliptic Problems --<br/>7.1.1.Classical Formulation --<br/>7.1.2.Weak Formulation --<br/>7.2.Sub- and Super-Solutions and Increasing Operators --<br/>8.Problems with A Priori Bounds --<br/>8.1.An Elementary Nonexistence Result --<br/>8.2.Existence of A Priori Bounds --<br/>8.3.Existence of Solutions --<br/>8.3.1.Using the Global Inversion Theorem.
650 ## - SUBJECT
Keyword	Differential equations, Elliptic
650 ## - SUBJECT
Keyword	Nonlinear functional analysis
650 ## - SUBJECT
Keyword	Differentiable dynamical systems
650 ## - SUBJECT
Keyword	Differential equations, Partial
650 ## - SUBJECT
Keyword	Functional analysis
650 ## - SUBJECT
Keyword	Mathematics
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name	Arcoya, David.
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type	General Books

Holdings
Withdrawn status	Lost status	Damaged status	Not for loan	Home library	Current library	Shelving location	Date acquired	Full call number	Accession number	Date last seen	Koha item type
				Central Library, Sikkim University	Central Library, Sikkim University	General Book Section	29/08/2016	515.355 AMB/I	P40942	29/08/2016	General Books