The fundamental solution of nonlinear equations with natural growth terms

Details The fundamental solution of nonlinear equations with natural growth terms The fundamental solution of nonlinear equations with natural growth terms

2010-02-24

arxiv.org/abs/1002.4664v2

Mathematics

Analysis of PDEs

39 pages

Scientific paper

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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