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Applicable Analysis
An International Journal
Volume 93, 2014 - Issue 10
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Articles

Hölder continuity of solutions to a degenerate elliptic equation in the presence of the Lavrentiev phenomenon

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Pages 2057-2075 | Received 02 Apr 2013, Accepted 30 Aug 2013, Published online: 10 Jul 2014

References

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  • Zhikov VV. Weighted Sobolev spaces. Sb. Math. 1998;189:1139–1170.
  • Alkhutov YuA, Zhikov VV. On the Hölder property of solutions of degenerate elliptic equations. Dokl. Akad. Nauk. 2001;378:583–588. Russian.
  • Alkhutov YuA, Zhikov VV. On a class of degenerate elliptic equations. Tr. Semin. im. I. G. Petrovskogo. 2003;23:16–27, 409. Russian; translation in J. Math. Sci. (N. Y.). 2004;120:1247–1254.
  • Bojarski B. Generalized solutions of a system of differential equations of first order and of elliptic type with discontinuous coefficients. Mat. Sb. N. S. 1957;43:451–503.

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