Polyharmonic Boundary Value Problems Positivity Preserving and Nonlinear Higher Order Elliptic Equations in Bounded Domains /

• Main Authors: Gazzola, Filippo. (Author), Grunau, Hans-Christoph. (Author), Sweers, Guido. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
• Series: Lecture Notes in Mathematics, 1991
• Subjects: Mathematics.; Functional analysis.; Global differential geometry.; Materials.; Mathematics, general.; Functional Analysis.; Differential Geometry.; Continuum Mechanics and Mechanics of Materials.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-642-12245-3

This monograph covers higher order linear and nonlinear elliptic boundary value problems in bounded domains, mainly with the biharmonic or poly-harmonic operator as leading principal part. Underlying models and, in particular, the role of different boundary conditions are explained in detail. As for...

Table of Contents:

• Preface
• Acknowledgements
• 1. Models of higher order
• 2. Linear Problems
• 3. Eigenvalue Problems
• 4. Kernel estimates
• 5. Positivity and lower order perturbations
• 6. Dominance of positivity in linear equations
• 7. Semilinear problems
• 8. Willmore surfaces of revolution Notations, citations and indexes.