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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2013 Volume 93, Issue 2, Pages 179–194 (Mi mzm8989)

This article is cited in 10 papers

Nonlinear Elliptic Equation with Lower Order Term and Degenerate Coercivity

Guanwei Chen


Abstract: In this article, we study the regularizing effects of the lower order term in the case of a nonlinear elliptic problem with degenerate coercivity. We show that the presence of certain lower order terms has a regularizing effect on the solutions. The obtained results extend some existing ones.

Keywords: nonlinear elliptic equation, degenerate coercivity, distributional solutions, entropy solutions, regularity.

UDC: 519

Received: 23.09.2010

DOI: 10.4213/mzm8989


 English version:
Mathematical Notes, 2013, 93:2, 224–237

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