Poincaré and Sobolev inequalities in the Monge-Ampère quasi-metric structure
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.123969
Abstract: Abstract We establish a number of Poincare and Sobolev inequalities in the Monge-Ampere quasi-metric structure that are either new or significant improvements upon known ones. As applications we derive a host of new weighted Poincare… read more here.
Keywords: metric structure; sobolev inequalities; poincar sobolev; quasi metric ... See more keywords
Morrey inequalities in the Monge-Ampère quasi-metric structure
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DOI: 10.1016/j.jmaa.2020.124707
Abstract: Abstract Morrey-type inequalities within the Monge-Ampere quasi-metric structure are proved under various conditions on the underlying Monge-Ampere measure. A number of examples of convex functions satisfying the required assumptions are described. Applications include interior C… read more here.
Keywords: metric structure; monge ampere; inequalities monge; quasi metric ... See more keywords
Boosting the Cellular Network Coverage Optimization in Accordance With the Metric Structure of Antenna Variables
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Transactions on Wireless Communications"
DOI: 10.1109/twc.2020.3021419
Abstract: Cellular networks are bound to connect an ever-increasing number of subscribers. The issue of securing both sufficient capacity and reliable coverage remains to be resolved. This paper introduces the maximum coverage problem in wireless cellular… read more here.
Keywords: metric structure; coverage optimization; coverage; antenna ... See more keywords