| Título: | On very weak solutions of semi-linear elliptic equations in the framework of weighted spaces with respect to the distance to the boundary |
| Autores: | Díaz Díaz, Jesús Ildefonso ; Rakotoson, Jean Michel Theresien |
| Tipo de documento: | texto impreso |
| Editorial: | American Institute of Mathematical Sciences, 2010-07 |
| Dimensiones: | application/pdf |
| Nota general: | info:eu-repo/semantics/restrictedAccess |
| Idiomas: | |
| Palabras clave: | Estado = Publicado , Materia = Ciencias: Matemáticas: Geometría diferencial , Materia = Ciencias: Matemáticas: Topología , Tipo = Artículo |
| Resumen: | We prove the existence of an appropriate function (very weak solution) u in the Lorentz space L(N') (,infinity)(Omega), N' = (N)(N - 1) satisfying Lu - Vu + g (x, u, del u) = mu in Omega an open bounded set of R(N), and u = 0 on partial derivative Omega in the sense that (u, L phi)(0) - (Vu, phi)(0) + (g(., u, del u),phi)(0) = mu(phi), for all phi is an element of C(c)(2)(Omega). The potential V |
| En línea: | https://eprints.ucm.es/id/eprint/15046/1/06.pdf |
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