Singular limits for a 2-dimensional elliptic Emden–Fowler system with exponential nonlinearity and singular terms given by Dirac masses
Volume 133 / 2024
Annales Polonici Mathematici 133 (2024), 199-270
MSC: Primary 35J46; Secondary 35B25, 35J08, 65M55
DOI: 10.4064/ap240511-11-3
Published online: 2 April 2025
Abstract
We apply the Pohozaev identity and the nonlinear decomposition method to demonstrate the existence of solutions with singular limits for a two-dimensional nonlinear elliptic system of Liouville type with singular sources terms given by Dirac masses and Dirichlet boundary conditions.
