Found 107 results
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De Lellis C., L. Székelyhidi Jr..  0.  The Euler equations as a differential inclusion.. Ann. of Math. PDF icon LasAnn.pdf (741.47 KB)
De Lellis C..  2002.  An example in the gradient theory of phase transitions.. ESAIM: Control, Optimisation and Calculus of Variations. 7:285–289(electronic).PDF icon COCV.pdf (117.75 KB)
De Lellis C., Tasnady D..  2013.  The existence of embedded minimal hypersurfaces. Journal of Differential Geometry. 95:355–388.PDF icon JDG_final.pdf (318.43 KB)PDF icon Errata_MinMax_sets.pdf (54.93 KB)
Bressan A., De Lellis C..  2009.  Existence of optimal strategies for a fire confinement problem.. Communications on Pure and Applied Mathematics. 62:789–830.PDF icon FireCPAM.pdf (364.62 KB)
Ambrosio L., De Lellis C..  2003.  Existence of solutions for a class of hyperbolic systems of conservation laws in several space dimensions.. International Mathematics Research Notices. :2205–2220.PDF icon esistenza10.pdf (235.06 KB)
De Lellis C., Ghiraldin F..  2010.  An extension of the identity Det=det.. Comptes Rendus Mathematique. 348:973–976.PDF icon Det_detCRAS.pdf (146.34 KB)
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De Lellis C., Inauen D..  2017.  Fractional Sobolev regularity for the Brouwer degree. Communications in Partial Differential Equations. 42:1510–1523.PDF icon Fractional_Sobolev_Regularity_For_The_Brouwer_Degree.pdf (470.22 KB)
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Colombo M., De Lellis C., Massaccesi A..  2020.  The generalized Caffarelli-Kohn-Nirenberg Theorem for the hyperdissipative Navier-Stokes system. Comm. Pure Appl. Math.. 73(3):609-663.PDF icon HNS_26.pdf (459.49 KB)
De Lellis C., Pellandini F..  2010.  Genus bounds for minimal surfaces arising from min-max constructions.. Journal für die Reine und Angewandte Mathematik. 2010:47–99.PDF icon genus73.pdf (472.29 KB)
De Lellis C., De Philippis G., Kirchheim B., Tione R..  2021.  Geometric measure theory and differential inclusions. Ann. Fac. Sci. Toulouse Math. (6). 30PDF icon Inclusioni26.pdf (601.47 KB)
Chiodaroli E., De Lellis C., Kreml O..  2015.  Global ill-posedness of the isentropic system of gas dynamics. Communications on Pure and Applied Mathematics. 68:1157–1190.PDF icon Riemann_15.pdf (393.84 KB)
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De Lellis C., Robyr R..  2011.  Hamilton-Jacobi equations with obstacles. Archive for Rational Mechanics and Analysis. 200:1051–1073.PDF icon Obs_Ham.pdf (295.72 KB)
De Lellis C., L. Székelyhidi Jr..  2017.  High dimensionality and h-principle in PDE. Bulletin (new series) of the American Mathematical Society. 54:247–282.PDF icon Nash_Bull_15.pdf (484.16 KB)
De Lellis C., Focardi M..  2013.  Higher integrability of the gradient for minimizers of the 2d Mumford-Shah energ. Journal de Mathématiques Pures et Appliquées. 100:391–409.PDF icon MS_Higher40.pdf (422.95 KB)
De Lellis C., L. Székelyhidi Jr..  2015.  The $h$-principle and Onsager's conjecture. Eur. Math. Soc. Newsl. 95:19-24.PDF icon DeLellis_Szekelyhidi_ems_7.pdf (108.78 KB)
Conti S., De Lellis C., L. Székelyhidi Jr..  2010.  h-principle and rigidity for $C^{1,\alpha}$ isometric embeddings. Proceedings from the Abel Symposium 2010. :83–116.PDF icon iso60.pdf (233.93 KB)PDF icon Errata-iso.pdf (174.62 KB)
De Lellis C., L. Székelyhidi Jr..  2012.  The h-principle and the equations of fluid dynamics.. Bulletin of the American Mathematical Society. 49:347–375.PDF icon bull1376.pdf (426.95 KB)PDF icon Errata_Euler_BullAMS.pdf (45.6 KB)
De Lellis C..  2010.  Hyperbolic equations and SBV functions. Journées équations aux dérivées partielles. :1–10.PDF icon JEDP_2010_A6_0.pdf (514.5 KB)
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De Lellis C..  2013.  Il teorema di Liouville ovvero perche' ``non esiste'' la primitiva di exp(x^2). Il Volterriano. 11:33–61.PDF icon Liouville_finale.pdf (366.16 KB)PDF icon Errata_Liouville.pdf (99.15 KB)
De Lellis C..  2017.  Il teorema di Schlaefli: un invito alla quarta dimensione. Il Volterriano. 13PDF icon Schlaefli_43.pdf (467.71 KB)
De Lellis C..  0.  Ill-posedness for bounded admissible solutions of the 2-dimensional p–system.. PDF icon Hyp08_delellis.pdf (151.58 KB)
Colombo M., De Lellis C., De Rosa L..  2018.  Ill-posedness of Leray solutions for the ipodissipative Navier–Stokes equations. Communications in Mathematical Physics. 362(2):659–688.PDF icon Cattivo_frazionario_16.pdf (427.09 KB)
De Lellis C., Royer-Carfagni G..  2001.  Interaction of fractures in tensile bars with non-local spatial dependence.. Journal of Elasticity. 65:1–31(2002).PDF icon DR.pdf (235.27 KB)
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De Lellis C., L. Székelyhidi Jr..  0.  John Nash's nonlinear iteration. PDF icon contr_vol_Nash_11.pdf (419.73 KB)
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De Lellis C..  2008.  Le equazioni di Eulero dal punto di vista delle inclusioni differenziali (Italian). Boll. Unione Mat. Ital. (9). 1(3):873-879.PDF icon De_Lellis.pdf (212.78 KB)