par Bonheure, Denis 
;Habets, Patrick;Obersnel, Franco;Omari, Pierpaolo
Référence Journal of differential equations, 243, 2, page (208-237)
Publication Publié, 2007
;Habets, Patrick;Obersnel, Franco;Omari, PierpaoloRéférence Journal of differential equations, 243, 2, page (208-237)
Publication Publié, 2007
Article révisé par les pairs
| Résumé : | We discuss existence and multiplicity of positive solutions of the one-dimensional prescribed curvature problem- (u′ / sqrt(1 + u′ 2))′ = λ f (t, u), u (0) = 0, u (1) = 0, depending on the behaviour at the origin and at infinity of the potential ∫0 u f (t, s) d s. Besides solutions in W2, 1 (0, 1), we also consider solutions in Wloc 2, 1 (0, 1) which are possibly discontinuous at the endpoints of [0, 1]. Our approach is essentially variational and is based on a regularization of the action functional associated with the curvature problem. © 2007 Elsevier Inc. All rights reserved. |
