BMO, integrability, Harnack and Caccioppoli inequalities for quasiminimizers

• 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

Ämnesord

NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

Nyckelord

Bounded mean oscillation

Doubling measure

Metric space

Nonlinear p harmonic

Poincare inequality

Potential theory

Quasiminimizer

Quasisuperharmonic

Quasisuperminimizer

Weak Harnack inequality

MATHEMATICS

MATEMATIK

Publikations- och innehållstyp

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