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arxiv: 1206.3694 · v1 · pith:QKRVWUHInew · submitted 2012-06-16 · 🧮 math.AP

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

classification 🧮 math.AP
keywords ellipticexistencenonlinearaccordingassumptionscoercivitydegeneratederivatives
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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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