Ratna Dwi Christyanti, Ratno Bagus Edy Wibowo, Abdul Rouf Alghofari
This paper discusses the existence of minimizers of a functional in Sobolev spaces with direct method, and Euler-Lagrange equation with Gateaux derivative. Finally, we prove the existence and uniqueness solution of Euler-Lagrange equation in Sobolev spaces W1,p(Ω). © 2014 Ratna Dwi Christyanti, Ratno Bagus Edy Wibowo and Abdul Rouf Alghofari.
Faculty of Mathematics and Natural Sciences, Brawijaya University, Malang, Indonesia; Department of Mathematics, Faculty of Mathematics and Natural Sciences, Brawijaya University, Malang, Indonesia
