Abstract
In this chapter we collect some preliminary results that we will use throughout the rest of the book, such as Fréechet derivatives, superposition operators and eak and classical solutions of linear elliptic equations and their eigenvalues. Sobolev function spaces are also outlined, although a more complete treatment is postponed until Appendix A.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2011 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
Ambrosetti, A., Arcoya, D. (2011). Preliminaries. In: An Introduction to Nonlinear Functional Analysis and Elliptic Problems. Progress in Nonlinear Differential Equations and Their Applications, vol 82. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-8114-2_1
Download citation
DOI: https://doi.org/10.1007/978-0-8176-8114-2_1
Published:
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-8113-5
Online ISBN: 978-0-8176-8114-2
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)