Ontology type: schema:ScholarlyArticle Open Access: True
2008-04
AUTHORSTero Kilpeläinen, Nageswari Shanmugalingam, Xiao Zhong
ABSTRACTIn 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... »
PAGES77-93
http://scigraph.springernature.com/pub.10.1007/s11512-007-0066-5
DOIhttp://dx.doi.org/10.1007/s11512-007-0066-5
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