Abstract

We study the existence of multiple blowup solutions for a semilinear elliptic equation with homogeneous Dirichlet boundary condition, exponential nonlinearity, and a singular source term given by Dirac masses. In particular, we extend the result of Baraket and Pacard (Calc. Var. Partial Differential Equations, 6 (1998), pp. 1-38) by allowing the presence, in the equation, of a weight function possibly vanishing in some points.

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