Author pages are created from data sourced from our academic publisher partnerships and public sources.

Publications Influence

A classification of solutions of a conformally invariant fourth order equation in Rn

- C. Lin
- Mathematics
- 30 June 1998

Abstract. In this paper, we consider the following conformally invariant equations of fourth order¶
$ \cases {\Delta^2 u = 6 e^{4u} &in $\bf {R}^4,$ \cr e^{4u} \in L^1(\bf {R}^4),\cr}$(1)¶and¶
$… Expand

347 54

Large amplitude stationary solutions to a chemotaxis system

Pour des fonctions positives u et v, on considere le systeme D 1 Δu-χ⊇•(u⊇logv)=0, D 2 Δv-av+bu=0 dans Ω; ∂u/∂n=∂v/οn=0 sur ∂Ω, |Ω| −1 ∫ Ω u(x)dx=ū, ou |Ω| est le volume de Ω et ū>0 est une constante… Expand

553 43

Topological degree for a mean field equation on Riemann surfaces

We consider the following mean field equations:
(0.1)
where M is a compact Riemann surface with volume 1, h is a positive continuous function on M, ρ is a real number,
(0.2)
… Expand

234 19

Sharp estimates for solutions of multi-bubbles in compact Riemann surfaces

In this paper, we consider a sequence of multibubble solutions u k of the equation (0.1) Δ 0 u k + ρ k (he uk /f M he u k d μ -1)=0 in M, where h is a C 2,β positive function in a compact Riemann… Expand

214 18

Estimates of the conformal scalar curvature equation via the method of moving planes

In this paper we derive a local estimate of a positive singular solution u near its singular set Z of the conformal equation
where K(x) is a positive continuous function, Z is a… Expand

163 17

Interpolation inequalities with weights

- C. Lin
- Mathematics
- 1986

We use elementary methods to prove a sufficient and necessary condition for a Sobolev interpolation inequalities with weight [ILLM0001] where [ILLM0001] are real numbers, and [ILLM0001]

95 12

Local behavior of singular positive solutions of semilinear elliptic equations with Sobolev exponent

67 10

Classification and nondegeneracy of SU(n+1) Toda system with singular sources

AbstractWe consider the following Toda system
where γi>−1, δ0 is Dirac measure at 0, and the coefficients aij form the standard tri-diagonal Cartan matrix. In this paper, (i) we completely classify… Expand

69 8- PDF

Existence of positive weak solutions with a prescribed singular set of semilinear elliptic equations

AbstractIn this paper, we consider the problem of the existence of non-negative weak solution u of
% MathType!MTEF!2!1!+-% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn%… Expand

36 8- PDF

...

1

2

3

4

5

...