Elliptic and Parabolic BMO and Harnack's Inequality

DOI10.2307/2000837zbMath0675.42020OpenAlexW4256106197MaRDI QIDQ3829995

Hugo Aimar

Publication date: 1988

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2000837

zbMATH Keywords

positive solutionselliptic operatorsparabolic operatorsJohn-Nirenberg lemma

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) Harmonic analysis in several variables (42B99)

Related Items (14)

Affinity kernels on measure spaces and maximal operators ⋮ Parabolic weighted norm inequalities and partial differential equations ⋮ Parabolic BMO and global integrability of supersolutions to doubly nonlinear parabolic equations ⋮ Unnamed Item ⋮ Positive solutions of nonuniformly elliptic equations with weighted convex-concave nonlinearity ⋮ A subelliptic analogue of Aronson-Serrin's Harnack inequality ⋮ John-Nirenberg inequalities for parabolic BMO ⋮ Parabolic John-Nirenberg spaces with time lag ⋮ A Poincare's inequality with non-uniformly degenerating gradient ⋮ Multiresolution approximations and unconditional bases on weighted Lebesgue spaces on spaces of homogeneous type ⋮ Parabolic BMO and the forward-in-time maximal operator ⋮ Long time existence of smooth solution for the porous medium equation in a bounded domain ⋮ Balls and quasi-metrics: A space of homogeneous type modeling the real analysis related to the Monge-Ampère equation ⋮ Comparison of Hardy--Littlewood and dyadic maximal functions on spaces of homogeneous type

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