Article Dans Une Revue Calculus of Variations and Partial Differential Equations Année : 2025

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

Résumé

We study the local properties of positive solutions of the equation -∆u + ae bu = m |∇u| q in a punctured domain Ω \ {0} of 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.

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Dates et versions

hal-04677893 , version 1 (26-08-2024)
hal-04677893 , version 2 (10-09-2024)

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Yimei Li, Laurent Véron. Isolated singularities of solutions of a 2-D diffusion equation with mixed reaction. Calculus of Variations and Partial Differential Equations, 2025, 64 (235), pp.1-32. ⟨10.1007/s00526-025-03118-y⟩. ⟨hal-04677893v2⟩
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