6533b7d0fe1ef96bd125ba96

RESEARCH PRODUCT

Maximal regularity via reverse Hölder inequalities for elliptic systems of n-Laplace type involving measures

Tero KilpeläinenNageswari ShanmugalingamXiao Zhong

subject

Pure mathematicsNonlinear systemLemma (mathematics)Laplace transformElliptic systemsGeneral MathematicsMathematical analysisMathematicsofComputing_NUMERICALANALYSISStandard probability spaceA priori and a posterioriType (model theory)Mathematical proofMathematics

description

In this note, we consider the regularity of solutions of the nonlinear elliptic systems of n-Laplacian type involving measures, and prove that the gradients of the solutions are in the weak Lebesgue space Ln,∞. We also obtain the a priori global and local estimates for the Ln,∞-norm of the gradients of the solutions without using BMO-estimates. The proofs are based on a new lemma on the higher integrability of functions.

yearjournalcountryeditionlanguage
2008-04-01
10.1007/s11512-007-0066-5http://projecteuclid.org/euclid.afm/1485907027