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Isolated singularities of solutions of a 2-D diffusion equation with mixed reaction

By Yimei Li and Laurent Véron
We study the local properties of positive solutions of the equation -\Delta u+ae^{bu}=m|\nabla u|^q in a punctured domain \Omega\setminus\{0\} of \bf R^2 where m,a,b are positive parameters and q>1. We study particularly the existence of solutions with an isolated singularity and the local behaviour of such singular solutions.
September 10, 2024
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Isolated singularities of solutions of a 2-D diffusion equation with mixed reaction
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