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arXiv · 1107.1132

A nonlinear degenerate elliptic problem with W^{1,1}_0 solutions

Lucio Boccardo·Gisella Croce·Luigi Orsina
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Abstract

We study a nonlinear equation with an elliptic operator having degenerate coercivity. We prove the existence of a unique W^{1,1}_0 distributional solution under suitable summability assumptions on the source in Lebesgue spaces. Moreover, we prove that our problem has no solution if the source is a Radon measure concentrated on a set of zero harmonic capacity.

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Lucio Boccardo, Gisella Croce, Luigi Orsina. 2011-07-06. A nonlinear degenerate elliptic problem with W^{1,1}_0 solutions. https://arxiv.org/abs/1107.1132

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