@article {2014,
	title = {Maximal generalized solution of eikonal equation},
	number = {Journal of differential equations;volume 257; issue 1; pages 231-263;},
	year = {2014},
	publisher = {Elsevier},
	abstract = {We study the Dirichlet problem for the eikonal equation: 1/2 |∇u(x)|^2-a(x)=0 in Ω u(x)=(x) on Ω, without continuity assumptions on the map a(.). We find a class of maps a(.) contained in the space L$\infty$(Ω) for which the problem admits a (maximal) generalized solution, providing a generalization of the notion of viscosity solution.},
	doi = {10.1016/j.jde.2014.04.001},
	url = {http://urania.sissa.it/xmlui/handle/1963/34642},
	author = {Sandro Zagatti}
}
@article {2008,
	title = {Minimization of non quasiconvex functionals by integro-extremization method},
	journal = {Discrete Contin. Dyn. Syst. 21 (2008) 625-641},
	year = {2008},
	doi = {10.3934/dcds.2008.21.625},
	url = {http://hdl.handle.net/1963/2761},
	author = {Sandro Zagatti}
}
@article {2008,
	title = {Minimizers of non convex scalar functionals and viscosity solutions of Hamilton-Jacobi equations},
	journal = {Calc. Var. Partial Differential Equations 31 (2008) 511-519},
	year = {2008},
	doi = {10.1007/s00526-007-0124-7},
	url = {http://hdl.handle.net/1963/2760},
	author = {Sandro Zagatti}
}
@article {2005,
	title = {On the Minimum Problem for Nonconvex Scalar Functionals},
	journal = {SIAM J. Math. Anal. 37 (2005) 982-995},
	year = {2005},
	abstract = {We study the minimum problem for scalar nonconvex functionals defined on Sobolev maps satisfying a Dirichlet boundary condition and refine well-known existence results under standard regularity assumptions.},
	doi = {10.1137/040612506},
	url = {http://hdl.handle.net/1963/2764},
	author = {Sandro Zagatti}
}
@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}
}
