Spectral theory and nonlinear functional analysis. (2001)

• Record Type: Book
• Further Information: Note: Julia[U+0301]n Lo[U+0301]pez-Go[U+0301]mez.
• Other Names: Lopez-Gomez, Julian; CRC Press.
• Contents: INTRODUCTION; General Assumptions and Basic Concepts; Some New Results; Historical Remarks; BIFURCATION FROM SIMPLE EIGENVALUES; Simple Eigenvalues and Transversality; The Theorem of M.G. Crandall and P.H. Rabinowitz; Local Bifurcation Diagrams; The Exchange Stability Principle; Applications; FIRST GENERAL BIFURCATION RESULTS; Lyapunov-Schmidt Reductions; The theorem of J. Ize; The Global Alternative of P.H. Rabinowitz; The Theorem of D. Westreich; THE ALGEBRAIC MULTIPLICITY; Motivating the Concept of Transversality; Transversal Eigenvalues; Algebraic Eigenvalues; Analytic Families; Simple Degenerate Eigenvalues; FUNDAMENTAL PROPERTIES OF THE MULTIPLICITY; The Multiplicity of R.J. Magnus; Relations between c and m; The Fundamental Theorem; The Classical Algebraic Multiplicity; Finite Dimensional Characterizations; The Parity of the Crossing Number; GLOBAL BIFURCATION THEORY; Preliminaries; Local Bifurcation; Global Behavior of the Bounded Components; Unilateral Global Bifurcation; Unilateral Bifurcation for Positive Operators; APPLICATIONS; Positive Solutions o Semilinear Elliptic Problems; Coexistence States for Elliptic Systems; Examples; A Further Application; REFERENCES; INDEX
• Publisher Details: Boca Raton, FL : Chapman & Hall/CRC
• Publication Date: 2001
• Extent: 1 online resource (xii, 265 pages), illustrations
• Subjects: 515/.7; Nonlinear functional analysis; Spectral theory (Mathematics); Nonlinear functional analysis; Spectral theory (Mathematics); Electronic books
• Languages: English
• ISBNs: 9781420035506; 1420035509
• Notes: Note: Includes bibliographical references (pages 251-260) and index.; Note: Print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.