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arxiv: 1002.4664 · v2 · pith:PQCGRAZXnew · submitted 2010-02-24 · 🧮 math.AP · math.CA

The fundamental solution of nonlinear equations with natural growth terms

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keywords fundamentalgrowthnaturalnonlinearsolutionadditionassociatedaway
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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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