35H05 V. Gershkovich, Maths, U of Melbourne, 3052. Neil S. Trudinger, CMA, ANU, 0200. Isoperimetric inequalities and nonlinear elliptic equations. The Dirichlet problem for the minimal surface equation. 35K05 D. J. Arrigo, J. M. Goard and P. Broadbridge, Maths, U of Wollongong, 2522.
Nonclassical solutions are non-existent for the heat equation and rare for nonlinear diffusion.
The Stefan solidification problem with nonmonotonic nonlinear heat diffusivity. 35K40 D. A. Prager and A. W. C. Lun, Maths, Monash U, Clayton, 3168. V. Belov, A. D. Resnyansky and G. H. Williams, Maths, U of Wollongong, 2522. An application of Morse theory to a classical Benard problem. 35K65 M. Lavrentiev, P. Broadbridge and V. Belov, Maths, U of Wollongong, 2522.