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All issues Volume 29 (2023) ESAIM: COCV, 29 (2023) 87 References
Open Access
Issue
ESAIM: COCV
Volume 29, 2023
Article Number 87
Number of page(s) 32
DOI https://doi.org/10.1051/cocv/2023079
Published online 18 December 2023
  1. J.-J. Alibert, G. Bouchitté, I. Fragalà and I. Lucardesi, A nonstandard free boundary problem arising in the shape optimization of thin torsion rods. Interfaces Free Bound. 15 (2013) 95–119. [CrossRef] [MathSciNet] [Google Scholar]
  2. L. Ambrosio, N. Fusco and D. Pallara, Functions of bounded variation and free discontinuity problems. Oxford Mathematical Monographs. The Clarendon Press, Oxford University Press, New York (2000). [Google Scholar]
  3. G. Bouchitté and P. Bousquet, On a degenerate problem in the calculus of variations. Trans. Am. Math. Soc. 371 (2019) 777–807. [Google Scholar]
  4. P. Bousquet and L. Brasco, Global Lipschitz continuity for minima of degenerate problems. Math. Ann. 366 (2016) 1403–1450. [CrossRef] [MathSciNet] [Google Scholar]
  5. P. Bousquet, C. Mariconda and G. Treu, On the Lavrentiev phenomenon for multiple integral scalar variational problems. J. Funct. Anal. 266 (2014) 5921–5954. [CrossRef] [MathSciNet] [Google Scholar]
  6. M. Bulíček, E. Maringová, B. Stroffolini and A. Verde, A boundary regularity result for minimizers of variational integrals with nonstandard growth. Nonlinear Anal. 177 (2018) 153–168. [CrossRef] [MathSciNet] [Google Scholar]
  7. G. Buttazzo, G. Carlier and M. Comte, On the selection of maximal Cheeger sets. Differ. Integral Equ. 20 (2007) 991–1004. [Google Scholar]
  8. G. Carlier and M. Comte, On a weighted total variation minimization problem. J. Funct. Anal. 250 (2007) 214–226. [CrossRef] [MathSciNet] [Google Scholar]
  9. A. Cellina, Uniqueness and comparison results for functionals depending on ∇u and on u. SIAM J. Optim. 18 (2007) 711–716. [CrossRef] [MathSciNet] [Google Scholar]
  10. M. Colombo and A. Figalli, Regularity results for very degenerate elliptic equations. J. Math. Pures Appl. 101 (2014) 94–117. [CrossRef] [MathSciNet] [Google Scholar]
  11. L. Evans and R. Gariepy, Measure theory and fine properties of functions. CRC Press, Boca Raton (Fla.), London, New York (1992). [Google Scholar]
  12. D. Gilbarg and N. Trudinger, Elliptic partial differential equations of second order. Classics in mathematics. Springer-Verlag, Berlin (2001). [CrossRef] [Google Scholar]
  13. E. Giusti, Minimal surfaces and functions of bounded variation. Monographs in mathematics. Birkhäuser Verlag, Basel (1984). [Google Scholar]
  14. E. Giusti, Direct methods in the calculus of variations. World Scientific Publishing Co., Inc., River Edge, NJ (2003). [Google Scholar]
  15. R.V. Kohn and G. Strang, Optimal design and relaxation of variational problems. I. Commun. Pure Appl. Math. 39 (1986) 113–137. [CrossRef] [Google Scholar]
  16. R.V. Kohn and G. Strang, Optimal design and relaxation of variational problems. II. Commun. Pure Appl. Math. 39 (1986) 139–182. [CrossRef] [Google Scholar]
  17. R.V. Kohn and G. Strang, Optimal design and relaxation of variational problems. III. Commun. Pure Appl. Math. 39 (1986) 353–377. [CrossRef] [Google Scholar]
  18. B. Kawohl, J. Stara and G. Wittum, Analysis and numerical studies of a problem of shape design. Arch. Rational Mech. Anal. 114 (1991) 349–363. [CrossRef] [MathSciNet] [Google Scholar]
  19. G. Lieberman, Boundary regularity for solutions of degenerate elliptic equations. Nonlinear Anal. Theory Methods Appl. 12 (1988) 1203–1219. [CrossRef] [Google Scholar]
  20. B. Lledos, A uniqueness result for a translation invariant problem in the calculus of variations. J. Convex Analy., in press. [Google Scholar]
  21. L. Lussardi and E. Mascolo, A uniqueness result for a class of non-strictly convex variational problems. J. Math. Anal. Appl. 446 (2017) 1687–1694. [CrossRef] [MathSciNet] [Google Scholar]
  22. P. Marcellini, A relation between existence of minima for nonconvex integrals and uniqueness for non-strictly convex integrals of the calculus of variations, in Mathematical Theories of Optimization, Proceedings, edited by J.P. Cecconi and T. Tolezzi, Lecture Notes in Math. Springer, 979 (1983) 216–231. [CrossRef] [Google Scholar]
  23. U. Massari, Esistenza e regolarità delle ipersuperfice di curvatura media assegnata in Rn. Arch. Rational Mech. Anal. 55 (1974) 357–382. [CrossRef] [MathSciNet] [Google Scholar]
  24. U. Massari and L. Pepe, Sull’approssimazione degli aperti lipschitziani di Rn con varietà differenziabili. Boll. U.M.I. 10 (1974) 532–544. [Google Scholar]
  25. E. Parini, An introduction to the Cheeger problem. Surv. Math. Appl. 6 (2011) 9–21. [MathSciNet] [Google Scholar]

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