Open Access
| Issue |
ESAIM: COCV
Volume 29, 2023
|
|
|---|---|---|
| Article Number | 3 | |
| Number of page(s) | 29 | |
| DOI | https://doi.org/10.1051/cocv/2022081 | |
| Published online | 11 January 2023 | |
- 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]
- D. Bucur, G. Buttazzo and C. Nitsch, Symmetry breaking for a problem in optimal insulation. J. Math. Pures Appl. 107 (2017) 451–463. [CrossRef] [MathSciNet] [Google Scholar]
- D. Bucur and A. Giacomini, A variational approach to the isoperimetric inequality for the robin eigenvalue problem. Arch. Ratl. Mech. Anal. 198 (2010) 927–961. [CrossRef] [Google Scholar]
- D. Bucur and S. Luckhaus, Monotonicity formula and regularity for general free discontinuity problems. Arch. Ration. Mech. Anal. 211 (2014) 489–511. [CrossRef] [MathSciNet] [Google Scholar]
- D. Bucur, M. Nahon, C. Nitsch and C. Trombetti, Shape optimization of a thermal insulation problem (2021). cvgmt preprint. [Google Scholar]
- D. Bucur and A. Giacomini, Shape optimization problems with Robin conditions on the free boundary. Ann. Inst. H. Poincaré C Anal. Non Linéaire 33 (2016) 1539–1568. [CrossRef] [MathSciNet] [Google Scholar]
- L.A. Caffarelli and D. Kriventsov, A free boundary problem related to thermal insulation. Commun. Partial Differ. Equ. 41 (2016) 1149–1182. [CrossRef] [Google Scholar]
- A. Cianchi, V. Ferone, C. Nitsch and C. Trombetti, Poincaré trace inequalities in BV(ℝn) with non-standard normalization. J. Geom. Anal. 28 (2018) 3522–3552. [CrossRef] [MathSciNet] [Google Scholar]
- E. De Giorgi, M. Carriero and A. Leaci, Existence theorem for a minimum problem with free discontinuity set. Arch. Ratl. Mech. Anal. 108 (1989) 195–218. [CrossRef] [Google Scholar]
- F. Della Pietra, C. Nitsch, R. Scala and C. Trombetti, An optimization problem in thermal insulation with robin boundary conditions. Commun. Partial Differ. Equ. 46 (2021) 2288–2304. [CrossRef] [Google Scholar]
- L.C. Evans and R.F. Gariepy, Measure Theory and Fine Properties of Functions, Revised Edition. Textbooks in Mathematics. CRC Press (2015). [Google Scholar]
- D. Gilbarg and N.S. Trudinger, Elliptic partial differential equations of second order. Springer-Verlag (2001). Reprint of the 1998 edition. [Google Scholar]
- F. Maggi, Sets of finite perimeter and geometric variational problems, volume 135 of Cambridge Studies in Advanced Mathematics. Cambridge University Press, Cambridge (2012). An introduction to geometric measure theory. [Google Scholar]
- V. Maz’ya, Sobolev spaces with applications to elliptic partial differential equations, volume 342 of Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]. Springer, Heidelberg, augmented edition (2011). [CrossRef] [Google Scholar]
- M.K. Murthy and G. Stampacchia, Boundary value problems for some degenerate-elliptic operators. Ann. Matemat. Pura Appl. 80 (1968) 1–122. [CrossRef] [Google Scholar]
- W.P. Ziemer, Weakly Differentiable Functions. Springer-Verlag, Berlin, Heidelberg (1989). [Google Scholar]
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