par Bonheure, Denis ;Moreira dos Santos, Ederson
Référence Journal of Differential Equations, 249, 12, page (3148-3173)
Publication Publié, 2010
Article révisé par les pairs
Résumé : We present some topological isomorphisms between Wm,p((0,1)) and Lp((0,1))×Rm. Combined with some arguments from Fourier analysis, we obtain explicit Schauder bases for Wm,p((0,1)) and some of its subspaces. In addition, we apply such results to treat some boundary value problems involving nonlinear elliptic differential equations. © 2010 Elsevier Inc.