The fundamental solution of nonlinear equations with natural growth terms

Published 24 Feb 2010 in math.AP and math.CA | (1002.4664v2)

Abstract: We find bilateral global bounds for the fundamental solutions associated with some quasilinear and fully nonlinear operators perturbed by a nonnegative zero order term with natural growth. In addition, we consider the Sobolev regularity of the fundamental solution away from its pole.

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