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Página principal > Artículos > Artículos publicados > On the behaviour of the solutions to p-Laplacian equations as p goes to 1 |
Fecha: | 2008 |
Resumen: | In the present paper we study the behaviour as p goes to 1 of the weak solutions to the problems 8 <− div p −2 ∇up = f in Ω : up = 0 on ∂Ω, where Ω is a bounded open set of RN (N ≥ 2) with Lipschitz boundary and p > 1. As far as the datum f is concerned, we analyze several cases: the most general one is f ∈ W −1,∞ (Ω). We also illustrate our results by means of remarks and examples. |
Derechos: | Tots els drets reservats. |
Lengua: | Anglès |
Documento: | Article ; Versió publicada |
Materia: | Nonlinear elliptic equations ; 1-Laplace operator |
Publicado en: | Publicacions matemàtiques, V. 52 n. 2 (2008) p. 377-411, ISSN 2014-4350 |
35 p, 299.4 KB |