Abstract
In this paper we prove a new Hardy type inequality and as a consequence we establish embedding results for a certain Sobolev space E1,p(R+n) defined on the upper half-space. Precisely, for 1<p<n we obtain an embedding from E1,p(R+n) into weighted Lebesgue spaces. In the border-line case p=n, we derive some Trudinger-Moser type inequalities, and in the case p>n we obtain a Morrey's type inequality.
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.
