@article {2000,
	title = {Minimization of functionals of the gradient by Baire{\textquoteright}s theorem},
	journal = {SIAM J. Control Optim. 38 (2000) 384-399},
	number = {SISSA;71/97/M},
	year = {2000},
	publisher = {SIAM},
	abstract = {<p>We give sufficient conditions for the existence of solutions of the minimum problem $$ {\mathcal{P}}_{u_0}: \qquad \hbox{Minimize}\quad \int_\Omega g(Du(x))dx, \quad u\in u_0 + W_0^{1,p}(\Omega,{\mathbb{R}}), $$ based on the structure of the epigraph of the lower convex envelope of g, which is assumed be lower semicontinuous and to grow at infinity faster than the power p with p larger than the dimension of the space. No convexity conditions are required on g, and no assumptions are made on the boundary datum $u_0\in W_0^{1,p}(\Omega,\mathbb{R})$.</p>},
	doi = {10.1137/S0363012998335206},
	url = {http://hdl.handle.net/1963/3511},
	author = {Sandro Zagatti}
}
