Local and global behaviour of nonlinear equations with natural growth terms

Mathematics – Analysis of PDEs

Scientific paper

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In memory of Professor Nigel Kalton

Scientific paper

This paper concerns a study of the pointwise behaviour of positive solutions
to certain quasi-linear elliptic equations with natural growth terms, under
minimal regularity assumptions on the underlying coefficients. Our primary
results consist of optimal pointwise estimates for positive solutions of such
equations in terms of two local Wolff's potentials.

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