Self-similar solutions for the anisotropic affine curve shortening problem

By J. Ai, Kai-Seng Chou, Jun-cheng Wei. 2001

67 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/cf5d3457cf26a64c4aea5397d9d9e6218ca973a0

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Qi-Rui Li
2. Shibing Chen
3. Jian Lu
4. Jun-cheng Wei
5. P. Esposito
6. Yujin Guo
7. M. Jiang
8. Zongming Guo

In Geometry and Topology

1. Jian Lu
2. M. Jiang
3. Qi-Rui Li
4. Xu-jia Wang
5. Shibing Chen
6. Nassif Ghoussoub
7. Jingbo Dou
8. Jun-cheng Wei

Citations in the corpus

• The Lp-Minkowski problem and the Minkowski problem in centroaffine geometry (2006, unknown): “[ ACW ]. In this paper one can also flnd some further discussion on the obstruction.”
• Nonlinear biharmonic equations with negative exponents (2009, unknown): “Wei [1].”
• Rotationally symmetric solutions to the L p -Minkowski problem (2013, methodology): “1) can be proved directly by integration by parts [1,13].”
• Remarks on the 2-Dimensional Lp-Minkowski Problem (2010, methodology): “2 were proved in [5], see also [1] for some related results.”
• Hausdorff Dimension of Ruptures for Solutions of a Semilinear Elliptic Equation with Singular Nonlinearity (2006, background): “This is done in section 3. Finally, we remark the negative power u −α can be considered as negative supercritical in R n ,n ≥ 2. In fact, it is known [ 1 ] that u −α is subcritical if α< 3 and”
• SHARP HARDY-LITTLEWOOD-SOBOLEV INEQUALITY ON THE UPPER HALF SPACE (2013, background): “We need to point out that sharp Sobolev type inequalities with negative exponent on the standard sphere S n did appear in, for example, Ai, Chou and Wei [1], Yang and Zhu [48], Hang and Yang [26], and Ni and Zhu [41].”
• Exact solutions of nonlinear conformally invariant integral equations in R 3 (2005, unknown): “[1] The organization of the paper is as follows: Section 2 is devoted to showing that q = 7 in order that the integral equation to have a positive solution.”
• Mathematical Analysis of Partial Differential Equations Modeling Electrostatic MEMS (2010, background): “A One-Dimensional Sobolev Inequality The following one-dimensional Sobolev inequality plays a key role in the estimates of this chapter (see [4]).”
• On the planar dual Minkowski problem (2018, background): “There is a vast body of literature concerning the planar Lp-Minkowski problem [1, 3, 5, 15, 18, 19, 20, 21, 48, 49, 50].”