# Publications of Kevin Bryce McLeod

- Uniqueness of Solutions of Semilinear Poisson Equations,

Proc. Nat'l Acad. Sci. USA, **78,** 6592-6595 (1981)
(with J. Serrin).

- Uniqueness of Positive Radial Solutions of Semilinear
Elliptic Equations in ,

Thesis, University of Minnesota (1984).

- Asymptotic Behaviour of Solutions of Semilinear Equations
in ,

Arch. Rat. Mech. Anal., **98,** 295-305 (1987).

- Uniqueness of Positive Radial Solutions of
in ,

Arch. Rat. Mech. Anal., **99,** 115-145 (1987)
(with J. Serrin).

- Some Uniqueness Theorems for Exterior Boundary Value Problems,

In Proceedings of the Microprogram on Nonlinear Diffusion Equations
and their Equilibrium States, Springer-Verlag, New York (1988).

- The Critical Sobolev Exponent in Two Dimensions,

Proc. Royal Soc. Edinburgh, **109,** Series A, 1-15 (1988)
(with J.B. McLeod).

- Radial Solutions of
with prescribed numbers of Zeros,

J. Differential Equations, **83,** 368-378
(1990) (with W.C. Troy and F.B. Weissler).

- A Global Existence Result for Quasi-linear Parabolic
Equations,

Commun. in PDE's, **15,** 557-594 (1990)
(with A.J. Milani).

- A Compact Imbedding Result on Lipschitz Manifolds,

Math. Annalen, **290,** 491-508 (1991)
(with R.H. Picard).

- A General
*I*-Theorem for Semilinear Elliptic Equations,

In Nonlinear Diffusion Equations and their Equilibrium States, 3,
Birkhauser, Boston (1992).

- Uniqueness of Positive Radial Solutions of
in ,
II,

Trans. Amer. Math. Soc., **339**(2), 495-505 (1993).

- On some Global Well-posedness and Asymptotic Results for
Quasilinear Parabolic Equations,

NoDEA, **3,** 79-114 (1996)
(with A.J. Milani).

- Global Sobolev Solutions of Quasilinear Parabolic
Equations,

Differential and Integral Equations,
**11**(3), 521-550 (1998) (with A.J. Milani).

- Quasi-convergence of Model Geometries under the
Ricci Flow,

CAG, **9(4),** 879-919 (2001) (with D. Knopf).

- Analyzing the effects of bubbles, inlet-pipe
expansion, and mold deflection on the mold-filling
process in liquid composite molding. Part 3:
existence, uniqueness and convergence of solutions,
submitted to SIAM Journal of Applied Mathematics, 2004,
(with Krishna Pillai).
- Mathematics Support Teachers in Middle and High Schools,
in: Adolescent Learning Toolkit, Wisconsin Department of Public
Instruction, pages 297-309 (with DeAnn Huinker).
- University of Wisconsin-Milwaukee mathematics focus courses:
mathematics contente for elementary and middle grades teachers,
iJMEST,
**38**(7), 949-962 (2007) (with DeAnn Huinker).

*Kevin B Mcleod*

*25/02/2008*