| Abstract: |
| In this talk we deal with a class of nonlinear heat equations in two dimensions. Recently, for some specific nonlinearities with exponential growth of Trudinger-Moser type, Ioku et al and Ibrahim et al establish the existence of a singular stationary solution. Then, they prove that the Cauchy problem, with this singular solution as initial data, admits, at least, two different solutions. Here we consider similar nonuniqueness phenomena for a wider class of nonlinearities in two dimensions. |
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