2. Consider the minimisation problem find u € V such that J(u) s J(v) Vue V, where J: H(0,1) Ris the functional defined by (3) 1(7):= { [""dr-S' fndri with f € L?(0,1) and V := {v € H*(0,1) lu(O) = v(1) = 0) and v'(0) = v'(1) = 0). (i) Formulate the variational problem associated with the minimisation problem (3). what