Partial Regularity for Minimizers of Degenerate Polyconvex Energies
Partial Regularity for Minimizers of Degenerate Polyconvex Energies
Partial Regularity for Minimizers of Degenerate Polyconvex Energies
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
38 L. Esposito, G. Mingione / <strong>Partial</strong> regularity <strong>for</strong> minimizers<br />
[27] M. Giaquinta, G. Modica, J. Suocek: Cartesian currents, weak diffeomorphisms and existence<br />
theorems in the nonlinear elasticity, Arch. Rat. Mech. Anal. 106 (1989) 97–159.<br />
[28] E. Giusti: Metodi Diretti nel Calcolo delle Variazioni, U.M.I., Bologna, 1994.<br />
[29] C. Hamburger: <strong>Regularity</strong> <strong>of</strong> differential <strong>for</strong>ms minimizing degenerate elliptic functionals,<br />
J. Reine Angew. Math. (Crelle’s J.) 431 (1992) 7–64.<br />
[30] J. Malý: Weak lower semicontinuity <strong>of</strong> polyconvex integrals, Proc. Royal Soc. Edinb. 123<br />
A (1993) 681–691.<br />
[31] P. Marcellini: On the definition and lower semicontinuity <strong>of</strong> certain quasiconvex integrals,<br />
Ann. IHP (Analyse non lineare) 3 (1986) 391–409.<br />
[32] P. Marcellini: Everywhere regularity <strong>for</strong> a class <strong>of</strong> elliptic systems withouth growth conditions,<br />
Ann. Scu. Norm. Sup. Pisa Cl. Sci. 23(IV) (1996) 1–25.<br />
[33] P. Marcellini: <strong>Regularity</strong> and existence <strong>of</strong> solutions <strong>of</strong> elliptic equations with p, q-growth<br />
conditions, J. Differential Equations 90 (1991), 1–30.<br />
[34] P. Marcellini: <strong>Regularity</strong> <strong>of</strong> minimizers <strong>of</strong> integrals <strong>of</strong> the calculus <strong>of</strong> variations with non<br />
standard growth conditions Arch. Rat. Mech. Anal. 105 (1989) 267–284.<br />
[35] S. Muller: Weak continuity <strong>of</strong> determinant and nonlinear elasticity, C. R. Acad. Sci. Paris<br />
307 (1988) 501–506.<br />
[36] S. Muller, J. Sivaloganathan, S. J. Spector: An isoperimetric estimate and W 1,p -<br />
quasiconvexity in nonlinear elasticity, Calc. Var. 8 (1999) 159–176.<br />
[37] K. Uhlenbeck: <strong>Regularity</strong> <strong>for</strong> a class <strong>of</strong> nonlinear elliptic systems, Acta Math. 138 (1977)<br />
219–240.