Cavallina, Lorenzo Nondegeneracy implies the existence of parametrized families of free boundaries. (English) Zbl 07796896 J. Differ. Equations 383, 1-23 (2024). Reviewer: Mariana Vega Smit (Bellingham) MSC: 35R35 35A15 35B32 35J15 35N25 35Q93 49Q10 PDFBibTeX XMLCite \textit{L. Cavallina}, J. Differ. Equations 383, 1--23 (2024; Zbl 07796896) Full Text: DOI
Djité, Ababacar Sadikhe; Seck, Diaraf A Riemannian point of view for a quadrature surface free boundary problem. (English) Zbl 07799435 Seck, Diaraf (ed.) et al., Nonlinear analysis, geometry and applications. Proceedings of the second NLAGA-BIRS symposium, Cap Skirring, Senegal, January 25–30, 2022. Cham: Springer. Trends Math., 339-374 (2022). MSC: 35N25 35J25 35R01 35R35 58J05 PDFBibTeX XMLCite \textit{A. S. Djité} and \textit{D. Seck}, in: Nonlinear analysis, geometry and applications. Proceedings of the second NLAGA-BIRS symposium, Cap Skirring, Senegal, January 25--30, 2022. Cham: Springer. 339--374 (2022; Zbl 07799435) Full Text: DOI
Cuomo, Salvatore; Giampaolo, Fabio; Izzo, Stefano; Nitsch, Carlo; Piccialli, Francesco; Trombetti, Cristina A physics-informed learning approach to Bernoulli-type free boundary problems. (English) Zbl 1504.65231 Comput. Math. Appl. 128, 34-43 (2022). MSC: 65M99 35Q35 PDFBibTeX XMLCite \textit{S. Cuomo} et al., Comput. Math. Appl. 128, 34--43 (2022; Zbl 1504.65231) Full Text: DOI
Jarohs, Sven; Kulczycki, Tadeusz; Salani, Paolo On the Bernoulli free boundary problems for the half Laplacian and for the spectral half Laplacian. (English) Zbl 1496.35463 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 222, Article ID 112956, 39 p. (2022). Reviewer: Mariana Vega Smit (Bellingham) MSC: 35R35 35J25 35R11 PDFBibTeX XMLCite \textit{S. Jarohs} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 222, Article ID 112956, 39 p. (2022; Zbl 1496.35463) Full Text: DOI arXiv
Cavallina, Lorenzo The simultaneous asymmetric perturbation method for overdetermined free boundary problems. (English) Zbl 1479.35579 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 215, Article ID 112685, 17 p. (2022). MSC: 35N25 35J25 35Q93 35R35 PDFBibTeX XMLCite \textit{L. Cavallina}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 215, Article ID 112685, 17 p. (2022; Zbl 1479.35579) Full Text: DOI arXiv
Henrot, Antoine; Onodera, Michiaki Hyperbolic solutions to Bernoulli’s free boundary problem. (English) Zbl 1462.35210 Arch. Ration. Mech. Anal. 240, No. 2, 761-784 (2021). MSC: 35N25 35R35 35J25 PDFBibTeX XMLCite \textit{A. Henrot} and \textit{M. Onodera}, Arch. Ration. Mech. Anal. 240, No. 2, 761--784 (2021; Zbl 1462.35210) Full Text: DOI arXiv
Dambrine, Marc; Puig, Bénédicte Oriented distance point of view on random sets. (English) Zbl 1459.60020 ESAIM, Control Optim. Calc. Var. 26, Paper No. 84, 24 p. (2020). MSC: 60D05 60F05 PDFBibTeX XMLCite \textit{M. Dambrine} and \textit{B. Puig}, ESAIM, Control Optim. Calc. Var. 26, Paper No. 84, 24 p. (2020; Zbl 1459.60020) Full Text: DOI
Brügger, Rahel; Croce, Roberto; Harbrecht, Helmut Solving a Bernoulli type free boundary problem with random diffusion. (English) Zbl 1453.35199 ESAIM, Control Optim. Calc. Var. 26, Paper No. 56, 16 p. (2020). Reviewer: Antonio André Novotny (Petrópolis) MSC: 35R35 35N25 65C05 65N75 PDFBibTeX XMLCite \textit{R. Brügger} et al., ESAIM, Control Optim. Calc. Var. 26, Paper No. 56, 16 p. (2020; Zbl 1453.35199) Full Text: DOI Link
Rabago, Julius Fergy T.; Azegami, Hideyuki An improved shape optimization formulation of the Bernoulli problem by tracking the Neumann data. (English) Zbl 1423.49006 J. Eng. Math. 117, 1-29 (2019). MSC: 49J35 PDFBibTeX XMLCite \textit{J. F. T. Rabago} and \textit{H. Azegami}, J. Eng. Math. 117, 1--29 (2019; Zbl 1423.49006) Full Text: DOI
Burman, Erik; Elfverson, Daniel; Hansbo, Peter; Larson, Mats G.; Larsson, Karl A cut finite element method for the Bernoulli free boundary value problem. (English) Zbl 1439.65150 Comput. Methods Appl. Mech. Eng. 317, 598-618 (2017). MSC: 65N30 35J25 35R35 PDFBibTeX XMLCite \textit{E. Burman} et al., Comput. Methods Appl. Mech. Eng. 317, 598--618 (2017; Zbl 1439.65150) Full Text: DOI arXiv
Černe, Miran Beurling’s boundary differential relations on multiply connected domains. (English) Zbl 1315.30007 J. Math. Anal. Appl. 428, No. 1, 544-562 (2015). MSC: 30E25 PDFBibTeX XMLCite \textit{M. Černe}, J. Math. Anal. Appl. 428, No. 1, 544--562 (2015; Zbl 1315.30007) Full Text: DOI
Boulkhemair, Abdesslam; Nachaoui, Abdeljalil; Chakib, Abdelkrim A shape optimization approach for a class of free boundary problems of Bernoulli type. (English) Zbl 1274.35062 Appl. Math., Praha 58, No. 2, 205-221 (2013). Reviewer: Vladimír Janovský (Praha) MSC: 35J05 35J20 35J25 PDFBibTeX XMLCite \textit{A. Boulkhemair} et al., Appl. Math., Praha 58, No. 2, 205--221 (2013; Zbl 1274.35062) Full Text: DOI Link
Cardaliaguet, Pierre; Ley, Olivier Some flows in shape optimization. (English) Zbl 1157.35500 Arch. Ration. Mech. Anal. 183, No. 1, 21-58 (2007). MSC: 35R35 35J05 49Q10 76D27 PDFBibTeX XMLCite \textit{P. Cardaliaguet} and \textit{O. Ley}, Arch. Ration. Mech. Anal. 183, No. 1, 21--58 (2007; Zbl 1157.35500) Full Text: DOI arXiv
Ly, Idrissa; Seck, Diaraf Shape optimization and free boundary problem: the case of the \(p\)-Laplacian. (Optimisation de forme et problème à frontière libre: cas du \(p\)-laplacien.) (French) Zbl 1050.35153 Ann. Fac. Sci. Toulouse, VI. Sér., Math. 12, No. 1, 103-126 (2003). Reviewer: Alain Brillard (Mulhouse) MSC: 35R35 35J65 49Q10 PDFBibTeX XMLCite \textit{I. Ly} and \textit{D. Seck}, Ann. Fac. Sci. Toulouse, Math. (6) 12, No. 1, 103--126 (2003; Zbl 1050.35153) Full Text: DOI Numdam EuDML
Okamoto, Hisashi Bifurcation phenomena in a free boundary problem for a circulating flow with surface tension. (English) Zbl 0544.76013 Math. Methods Appl. Sci. 6, 215-233 (1984). Reviewer: Isaac Yevzerov (Kyïv) MSC: 76B45 35R35 35B32 58E07 PDFBibTeX XMLCite \textit{H. Okamoto}, Math. Methods Appl. Sci. 6, 215--233 (1984; Zbl 0544.76013) Full Text: DOI
Danilyuk, I. I. Existence theorem for a nonlinear free boundary-value problem. (English) Zbl 0206.10601 Ukr. Math. J. 20(1968), 22-29 (1969). MSC: 35R35 35K99 PDFBibTeX XMLCite \textit{I. I. Danilyuk}, Ukr. Math. J. 20, 22--29 (1969; Zbl 0206.10601) Full Text: DOI