Semilinear elliptic equations and systems with diffuse measures |
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| Authors: | Luigi Orsina Augusto C. Ponce |
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| Affiliation: | (1) Dipartimento di Matematica, Università di Roma “La Sapienza”, Piazzale A. Moro 2, 00185 Roma, Italia;(2) Département de mathématique, Université catholique de Louvain, Chemin du Cyclotron 2, 1348 Louvain-la-Neuve, Belgique |
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| Abstract: | We study the equation − , where g(·, s) is finite outside sets of zero H 1-capacity,  , and μ is a diffuse measure. As an application, we provide a positive answer to a question of Lucio Boccardo concerning existence of solutions of an elliptic system with absorption. A Lucio “Tu se’ lo mio maestro e ’l mio autore” (Dante, Inferno, I, 85) |
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