Publications
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A nonautonomous chain rule in W 1, p and BV: Manuscripta Mathematica 2012
Ambrosio, L. and Crasta, G. and De Cicco, V. and De Philippis, G., (2012). "A nonautonomous chain rule in W 1, p and BV", Manuscripta Mathematica, pp. 1-20 -
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A nonhomogeneous boundary value problem in mass transfer theory: Calculus of Variations and Partial Differential Equations 2012
Crasta, G. and Malusa, A., (2012). "A nonhomogeneous boundary value problem in mass transfer theory", Calculus of Variations and Partial Differential Equations, vol. 44, no. 1-2, pp. 61-80 -
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A chain rule formula in the space BV and applications to conservation laws: SIAM Journal on Mathematical Analysis 2011
Crasta, G. and De Cicco, V., (2011). "A chain rule formula in the space BV and applications to conservation laws", SIAM Journal on Mathematical Analysis, vol. 43, no. 1, pp. 430-456 -
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A variational approach to the macroscopic electrodynamics of anisotropic hard superconductors: Archive for Rational Mechanics and Analysis 2009
Crasta, G. and Malusa, A., (2009). "A variational approach to the macroscopic electrodynamics of anisotropic hard superconductors", Archive for Rational Mechanics and Analysis, vol. 192, no. 1, pp. 87-115 -
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On the Finsler metrics obtained as limits of chessboard structures: Advances in Calculus of Variations 2009
Amar, M. and Crasta, G. and Malusa, A., (2009). "On the Finsler metrics obtained as limits of chessboard structures", Advances in Calculus of Variations, vol. 2, no. 4, pp. 321-360 -
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An existence result for the sandpile problem on flat tables with walls: Networks and Heterogeneous Media 2008
Crasta, G. and Vita, S.F., (2008). "An existence result for the sandpile problem on flat tables with walls", Networks and Heterogeneous Media, vol. 3, no. 4, pp. 815-830 -
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A sharp uniqueness result for a class of variational problems solved by a distance function: Journal of Differential Equations 2007
Crasta, G. and Malusa, A., (2007). "A sharp uniqueness result for a class of variational problems solved by a distance function", Journal of Differential Equations, vol. 243, no. 2, pp. 427-447 -
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On a system of partial differential equations of Monge-Kantorovich type: Journal of Differential Equations 2007
Crasta, G. and Malusa, A., (2007). "On a system of partial differential equations of Monge-Kantorovich type", Journal of Differential Equations, vol. 235, no. 2, pp. 484-509 -
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Some estimates for the torsional rigidity of composite rods: Mathematische Nachrichten 2007
Crasta, G. and Fragalá, I. and Gazzola, F., (2007). "Some estimates for the torsional rigidity of composite rods", Mathematische Nachrichten, vol. 280, no. 3, pp. 242-255 -
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The distance function from the boundary in a minkowski space: Transactions of the American Mathematical Society 2007
Crasta, G. and Malusa, A., (2007). "The distance function from the boundary in a minkowski space", Transactions of the American Mathematical Society, vol. 359, no. 12, pp. 5725-5759 -
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A symmetry problem in the calculus of variations: Journal of the European Mathematical Society 2006
Crasta, G., (2006). "A symmetry problem in the calculus of variations", Journal of the European Mathematical Society, vol. 8, no. 1, pp. 139-154 -
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A boundary value problem for a PDE model in mass transfer theory: Representation of solutions and applications: Calculus of Variations and Partial Differential Equations 2005
Cannarsa, P. and Cardaliaguet, P. and Crasta, G. and Giorgieri, E., (2005). "A boundary value problem for a PDE model in mass transfer theory: Representation of solutions and applications", Calculus of Variations and Partial Differential Equations, vol. 24, no. 4, pp. 431-457 -
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On a long-standing conjecture by Pólya-Szegö and related topics: Zeitschrift fur Angewandte Mathematik und Physik 2005
Crasta, G. and Fragalà, I. and Gazzola, F., (2005). "On a long-standing conjecture by Pólya-Szegö and related topics", Zeitschrift fur Angewandte Mathematik und Physik, vol. 56, no. 5, pp. 763-782 -
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On the existence and uniqueness of minimizers for a class of integral functionals: Nonlinear Differential Equations and Applications 2005
Crasta, G. and Malusa, A., (2005). "On the existence and uniqueness of minimizers for a class of integral functionals", Nonlinear Differential Equations and Applications, vol. 12, no. 2, pp. 129-150 -
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On the role of energy convexity in the web function approximation: Nonlinear Differential Equations and Applications 2005
Crasta, G. and Fragalà, I. and Gazzola, F., (2005). "On the role of energy convexity in the web function approximation", Nonlinear Differential Equations and Applications, vol. 12, no. 1, pp. 93-109 -
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Estimates for the energy of the solutions to elliptic Dirichlet problems on convex domains: Royal Society of Edinburgh - Proceedings A 2004
Crasta, G., (2004). "Estimates for the energy of the solutions to elliptic Dirichlet problems on convex domains", Royal Society of Edinburgh - Proceedings A, vol. 134, no. 1, pp. 89-107 -
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Geometric constraints on the domain for a class of minimum problems: ESAIM - Control, Optimisation and Calculus of Variations 2003
Crasta, G. and Malusa, A., (2003). "Geometric constraints on the domain for a class of minimum problems", ESAIM - Control, Optimisation and Calculus of Variations, no. 9, pp. 125-133 -
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On a class of nonconvex noncoercive bolza problems with constraints on the derivatives: Journal of Optimization Theory and Applications 2003
Crasta, G., (2003). "On a class of nonconvex noncoercive bolza problems with constraints on the derivatives", Journal of Optimization Theory and Applications, vol. 118, no. 2, pp. 295-325 -
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A sharp upper bound for the torsional rigidity of rods by means of web functions: Archive for Rational Mechanics and Analysis 2002
Crasta, G. and Fragalà, I. and Gazzola, F., (2002). "A sharp upper bound for the torsional rigidity of rods by means of web functions", Archive for Rational Mechanics and Analysis, vol. 164, no. 3, pp. 189-211 -
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Some estimates of the minimizing properties of web functions: Calculus of Variations and Partial Differential Equations 2002
Crasta, G. and Gazzola, F., (2002). "Some estimates of the minimizing properties of web functions", Calculus of Variations and Partial Differential Equations, vol. 15, no. 1, pp. 45-66 -
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Variational problems for a class of functionals on convex domains: Journal of Differential Equations 2002
Crasta, G., (2002). "Variational problems for a class of functionals on convex domains", Journal of Differential Equations, vol. 178, no. 2, pp. 608-629 -
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Nonconvex Minimization Problems for Functionals Defined on Vector Valued Functions: Journal of Mathematical Analysis and Applications 2001
Crasta, G. and Malusa, A., (2001). "Nonconvex Minimization Problems for Functionals Defined on Vector Valued Functions", Journal of Mathematical Analysis and Applications, vol. 254, no. 2, pp. 538-557 -
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Euler-Lagrange inclusions and existence of minimizers for a class of non-coercive variational problems: Journal of Convex Analysis 2000
Crasta, G. and Malusa, A., (2000). "Euler-Lagrange inclusions and existence of minimizers for a class of non-coercive variational problems", Journal of Convex Analysis, vol. 7, no. 1, pp. 167-181 -
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Existence, uniqueness and qualitative properties of minima to radially symmetric non-coercive non-convex variational problems: Mathematische Zeitschrift 2000
Crasta, G., (2000). "Existence, uniqueness and qualitative properties of minima to radially symmetric non-coercive non-convex variational problems", Mathematische Zeitschrift, vol. 235, no. 3, pp. 569-589 -
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On the minimum problem for a class of noncoercive nonconvex functionals: SIAM Journal on Control and Optimization 2000
Crasta, G., (2000). "On the minimum problem for a class of noncoercive nonconvex functionals", SIAM Journal on Control and Optimization, vol. 38, no. 1, pp. 237-253 -
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Well-posedness of the Cauchy problem for n x n systems of conservation laws: Memoirs of the American Mathematical Society 2000
Bressan, A. and Crasta, G. and Piccoli, B., (2000). "Well-posedness of the Cauchy problem for n x n systems of conservation laws", Memoirs of the American Mathematical Society, vol. 146, no. 694 -
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Well-posedness of the cauchy problem for n × n systems of conservation laws: Memoirs of the American Mathematical Society 2000
Bressan, A. and Crasta, G. and Piccoli, B., (2000). "Well-posedness of the cauchy problem for n × n systems of conservation laws", Memoirs of the American Mathematical Society, no. 694, pp. 1-134 -
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Existence of Minimizers for Nonconvex Variational Problems with Slow Growth: Journal of Optimization Theory and Applications 1998
Crasta, G., (1998). "Existence of Minimizers for Nonconvex Variational Problems with Slow Growth", Journal of Optimization Theory and Applications, vol. 99, no. 2, pp. 381-401 -
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Viscosity solutions and uniqueness for systems of inhomogeneous balance laws: Discrete and Continuous Dynamical Systems 1997
Crasta, G. and Piccoli, B., (1997). "Viscosity solutions and uniqueness for systems of inhomogeneous balance laws", Discrete and Continuous Dynamical Systems, vol. 3, no. 4, pp. 477-502 -
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An existence result for noncoercive nonconvex problems in the calculus of variations: Nonlinear Analysis, Theory, Methods and Applications 1996
Crasta, G., (1996). "An existence result for noncoercive nonconvex problems in the calculus of variations", Nonlinear Analysis, Theory, Methods and Applications, vol. 26, no. 9, pp. 1527-1533 -
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Existence results for noncoercive variational problems: SIAM Journal on Control and Optimization 1996
Crasta, G. and Malusa, A., (1996). "Existence results for noncoercive variational problems", SIAM Journal on Control and Optimization, vol. 34, no. 6, pp. 2064-2076 -
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Special bang-bang solutions for nonlinear control systems: Nonlinear Differential Equations and Applications NoDEA 1995
Crasta, G. and Piccoli, B., (1995). "Special bang-bang solutions for nonlinear control systems", Nonlinear Differential Equations and Applications NoDEA, vol. 2, no. 3, pp. 323-339 -
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Bang-bang property for Bolza problems in two dimensions: Journal of Optimization Theory and Applications 1994
Crasta, G. and Piccoli, B., (1994). "Bang-bang property for Bolza problems in two dimensions", Journal of Optimization Theory and Applications, vol. 83, no. 1, pp. 155-165
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