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


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2008-04

AUTHORS

Tero Kilpeläinen, Nageswari Shanmugalingam, Xiao Zhong

ABSTRACT

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. More... »

PAGES

77-93

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s11512-007-0066-5

DOI

http://dx.doi.org/10.1007/s11512-007-0066-5

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1013498046


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