Rocky Mountain Journal of Mathematics

Qualitative properties and standard estimates of solutions for some fourth order elliptic equations

Kaisheng Liu and Ruichang Pei

Full-text: Open access

Abstract

In this paper, first, we make the estimates for a class of fourth order elliptic equations in different domains and boundary conditions. Consequently, we study the qualitative properties of solutions with prescribed $Q$-curvature. Finally, we also will obtain some radially symmetric results by using moving plane methods.

Article information

Source
Rocky Mountain J. Math., Volume 44, Number 3 (2014), 975-986.

Dates
First available in Project Euclid: 28 September 2014

Permanent link to this document
https://projecteuclid.org/euclid.rmjm/1411945674

Digital Object Identifier
doi:10.1216/RMJ-2014-44-3-975

Mathematical Reviews number (MathSciNet)
MR3264492

Zentralblatt MATH identifier
1305.35044

Keywords
Elliptic equations of fourth order asymptotic behavior a-priori estimates Q curvature

Citation

Liu, Kaisheng; Pei, Ruichang. Qualitative properties and standard estimates of solutions for some fourth order elliptic equations. Rocky Mountain J. Math. 44 (2014), no. 3, 975--986. doi:10.1216/RMJ-2014-44-3-975. https://projecteuclid.org/euclid.rmjm/1411945674


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