Existence of singular solutions for a Dirichlet problem containing a Dirac mass
link https://doi.org/10.1016/j.na.2011.01.005account_box Garcia Huidobro, Martaaccount_box Yarur, Cecilia
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We give general existence results of solutions (u, v) to the Dirichlet problem
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| Autor | Garcia Huidobro, Marta Yarur, Cecilia |
| Título | Existence of singular solutions for a Dirichlet problem containing a Dirac mass |
| Revista | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS |
| ISSN | 0362-546X |
| Volumen | 74 |
| Número de publicación | 8 |
| Página inicio | 2831 |
| Página final | 2843 |
| Fecha de publicación | 2011 |
| Resumen | We give general existence results of solutions (u, v) to the Dirichlet problem {-Delta u = f (x, u, v) + c delta(0), -Delta u = g(x, u, v) + d delta(0) u = v = 0 on partial derivative B, in D'(B), (P) where B is the unit ball centered at zero in R(N), N >= 3, delta(0) is the Dirac mass at 0 and c, d are nonnegative constants. No assumptions on the sign of the functions f and g are required. We also characterize the set of (c, d) such that problem (P) admits a solution in some particular cases of the nonlinearities f and g. (C) 2011 Elsevier Ltd. All rights reserved. |
| Derechos | acceso restringido |
| Agencia financiadora | Fondecyt Ecos-Conicyt |
| DOI | 10.1016/j.na.2011.01.005 |
| Editorial | PERGAMON-ELSEVIER SCIENCE LTD |
| Enlace | |
| Id de publicación en WoS | WOS:000288255600006 |
| Paginación | 13 páginas |
| Palabra clave | Existence Dirac mass Singular solutions EQUATIONS NONEXISTENCE SYSTEMS |
| Tipo de documento | artículo |