BMO, integrability, Harnack and Caccioppoli inequalities for quasiminimizers
2010 (English)In: ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, ISSN 0294-1449, Vol. 27, no 6, 1489-1505 p.Article in journal (Refereed) Published
In this paper we use quasiminimizing properties of radial power-type functions to deduce counterexamples to certain Caccioppoli type inequalities and weak Harnack inequalities for quasisuperharmonic functions both of which are well known to hold for p-superharmonic functions We also obtain new bounds on the local integrability for quasisuperharmonic functions Furthermore we show that the logarithm of a positive quasisuperminimizer has bounded mean oscillation and belongs to a Sobolev type space
Place, publisher, year, edition, pages
GAUTHIER-VILLARS/EDITIONS ELSEVIER, 23 RUE LINOIS, 75015 PARIS, FRANCE , 2010. Vol. 27, no 6, 1489-1505 p.
Bounded mean oscillation, Doubling measure, Metric space, Nonlinear p harmonic, Poincare inequality, Potential theory, Quasiminimizer, Quasisuperharmonic, Quasisuperminimizer, Weak Harnack inequality
IdentifiersURN: urn:nbn:se:liu:diva-64393DOI: 10.1016/j.anihpc.2010.09.005ISI: 000285400300007OAI: oai:DiVA.org:liu-64393DiVA: diva2:390126