We study the existence and non-existence of solutions of the problem [GRAPHICS] where Omega is a bounded domain in R-N, N >=, 3, and it is a Radon measure. We prove that if it 4 pi HN-2, then (0.1) has a unique solution. We also show that the constant 4 pi in this condition cannot be improved. (c) 2005 Elsevier SAS. All rights reserved.
Semilinear equations with exponential nonlinearity and measure data / Bartolucci, Daniele; Leoni, Fabiana; Orsina, Luigi; Augusto C., Ponce. - In: ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE. - ISSN 0294-1449. - 22:6(2005), pp. 799-815. [10.1016/j.anihpc.2004.12.003]
Semilinear equations with exponential nonlinearity and measure data
BARTOLUCCI, DANIELE;LEONI, Fabiana;ORSINA, Luigi;
2005
Abstract
We study the existence and non-existence of solutions of the problem [GRAPHICS] where Omega is a bounded domain in R-N, N >=, 3, and it is a Radon measure. We prove that if it 4 pi HN-2, then (0.1) has a unique solution. We also show that the constant 4 pi in this condition cannot be improved. (c) 2005 Elsevier SAS. All rights reserved.File allegati a questo prodotto
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