Abstract
In this chapter we present the elementary theory of variable Sobolev spaces. Unlike Chap. 2, where we systematically developed a complete theory of variable Lebesgue spaces, our goal here is less ambitious. Our aim is to illustrate how the theorems and techniques given in previous chapters can be applied to the variable Sobolev spaces. Consequently, many of our results are not given in the fullest generality possible, and there are a number of results from the classical theory of Sobolev spaces that we do not discuss.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
