Fractional Sobolev inequalities associated with singular problems
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DOI: 10.1002/mana.201700302
Abstract: In this paper we study Sobolev‐type inequalities associated with singular problems for the fractional p‐Laplacian operator in a bounded domain of RN, N≥2. read more here.
Keywords: sobolev inequalities; associated singular; fractional sobolev; problems fractional ... See more keywords
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
Poincaré and Log–Sobolev Inequalities for Mixtures
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DOI: 10.3390/e21010089
Abstract: This work studies mixtures of probability measures on Rn and gives bounds on the Poincaré and the log–Sobolev constants of two-component mixtures provided that each component satisfies the functional inequality, and both components are close… read more here.
Keywords: log sobolev; sobolev inequalities; poincar; poincar log ... See more keywords