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Volume 23, Issue 2
Regularity of Radial Solutions to the Complex Hessian Equations

Yong Huang & Lu Xu

DOI: 10.4208/jpde.v23.n2.2

J. Part. Diff. Eq., 23 (2010), pp. 147-157.

Published online: 2010-05

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  • Abstract

In this paper we consider regularities of radial solutions to the degenerate complex Hessian equations. Our results generalize some results for Monge-Ampere equation in [Monn, Math. Ana. 275 (1986), pp. 501-511] and [Delanoe, J. Diff. Eqn. 58 (1985), pp. 318-344].

  • Keywords

The complex Hessian equation regularity

  • AMS Subject Headings

32U05 35J60

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-23-147, author = {Yong Huang and Lu Xu }, title = {Regularity of Radial Solutions to the Complex Hessian Equations}, journal = {Journal of Partial Differential Equations}, year = {2010}, volume = {23}, number = {2}, pages = {147--157}, abstract = {

In this paper we consider regularities of radial solutions to the degenerate complex Hessian equations. Our results generalize some results for Monge-Ampere equation in [Monn, Math. Ana. 275 (1986), pp. 501-511] and [Delanoe, J. Diff. Eqn. 58 (1985), pp. 318-344].

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v23.n2.2}, url = {http://global-sci.org/intro/article_detail/jpde/5225.html} }
TY - JOUR T1 - Regularity of Radial Solutions to the Complex Hessian Equations AU - Yong Huang & Lu Xu JO - Journal of Partial Differential Equations VL - 2 SP - 147 EP - 157 PY - 2010 DA - 2010/05 SN - 23 DO - http://doi.org/10.4208/jpde.v23.n2.2 UR - https://global-sci.org/intro/article_detail/jpde/5225.html KW - The complex Hessian equation KW - regularity AB -

In this paper we consider regularities of radial solutions to the degenerate complex Hessian equations. Our results generalize some results for Monge-Ampere equation in [Monn, Math. Ana. 275 (1986), pp. 501-511] and [Delanoe, J. Diff. Eqn. 58 (1985), pp. 318-344].

Yong Huang and Lu Xu . (2010). Regularity of Radial Solutions to the Complex Hessian Equations. Journal of Partial Differential Equations. 23 (2). 147-157. doi:10.4208/jpde.v23.n2.2
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