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arXiv · 1206.3694

Existence of solutions for some noncercive elliptic problems involving derivatives of nonlinear terms

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 W^{1,1}_0 solution which is distributional or entropic, according to the growth assumptions on a lower order term in divergence form.

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Lucio Boccardo, Gisella Croce, Luigi Orsina. 2012-06-16. Existence of solutions for some noncercive elliptic problems involving derivatives of nonlinear terms. https://arxiv.org/abs/1206.3694

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