Regularity for almost-minimizers of variable coefficient Bernoulli-type functionals

Author:

David Guy,Engelstein Max,Smit Vega Garcia Mariana,Toro Tatiana

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference11 articles.

1. Alt, H.W., Caffarelli, L.A.: Existence and regularity for a minimum problem with free boundary. J. Reine Angew. Math. 325, 105–144 (1981)

2. Alt, H.W., Caffarelli, L.A., Friedman, A.: Variational problems with two phases and their free boundaries. Trans. Am. Math. Soc. 282, 431–461 (1984)

3. Anzellotti, G.: On the $$C^{1,\alpha }$$ regularity of $$\omega $$-minima of quadratic functionals. Boll. Unione Mat. Ital., VI. Ser., C, Anal. Funz. Appl. 2, 195–212 (1983)

4. Caffarelli, L.A.: A Harnack inequality approach to the regularity of free boundaries. Part III: existence theory, compactness, and dependence on X. Ann. Del. Sc. Norm. Sup. Di Pisa 15, 583–602 (1988)

5. David, G., Engelstein, M., Toro, T.: Free boundary regularity for almost-minimizers. Adv. Math. 350, 1109–1192 (2019)

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