On a fractional Dirichlet problem
Rafał Kamocki, Marek Majewski · 2012
In the paper a fractional analogon of the classical Dirichlet problem is considered. Using some variational method a theorem on the existence and uniqueness of solution is proved. In the proof of the main result we use a characterization of the weak convergence in the space of solutions and a fractional counterpart of du Bois-Reymond lemma.