## Rocky Mountain Journal of Mathematics

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

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

#### 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