We study the existence of multiple blowing up 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.
Esposito, P. (2005). Blowup solutions for a Liouville equation with singular data. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 36(4), 1310-1345 [10.1137/S0036141003430548].
Blowup solutions for a Liouville equation with singular data
ESPOSITO, PIERPAOLO
2005-01-01
Abstract
We study the existence of multiple blowing up 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.File in questo prodotto:
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