Cavallina, Lorenzo Why are the solutions to overdetermined problems usually “as symmetric as possible”? (English) Zbl 07784097 J. Geom. Anal. 34, No. 1, Paper No. 26, 22 p. (2024). MSC: 35N25 35J15 35Q93 PDFBibTeX XMLCite \textit{L. Cavallina}, J. Geom. Anal. 34, No. 1, Paper No. 26, 22 p. (2024; Zbl 07784097) Full Text: DOI arXiv OA License
Cavallina, Lorenzo; Poggesi, Giorgio; Yachimura, Toshiaki Quantitative stability estimates for a two-phase Serrin-type overdetermined problem. (English) Zbl 1491.35296 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 222, Article ID 112919, 17 p. (2022). MSC: 35N25 35B35 35J25 35Q93 PDFBibTeX XMLCite \textit{L. Cavallina} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 222, Article ID 112919, 17 p. (2022; Zbl 1491.35296) Full Text: DOI arXiv
Ji, Lewen; Yang, Zhihui; Yang, Ran Symmetry results for overdetermined problems via \(L_p\) Brunn-Minkowski inequalities. (English) Zbl 1489.35147 Result. Math. 77, No. 3, Paper No. 112, 19 p. (2022). MSC: 35J92 35J25 PDFBibTeX XMLCite \textit{L. Ji} et al., Result. Math. 77, No. 3, Paper No. 112, 19 p. (2022; Zbl 1489.35147) Full Text: DOI
Akman, Murat; Banerjee, Agnid; Garcia, Mariana Smit Vega On a Bernoulli-type overdetermined free boundary problem. (English) Zbl 1478.35152 Ann. Fenn. Math. 46, No. 2, 601-618 (2021). Reviewer: Antonio Greco (Cagliari) MSC: 35N25 35R35 35A01 35J92 35J25 35J70 PDFBibTeX XMLCite \textit{M. Akman} et al., Ann. Fenn. Math. 46, No. 2, 601--618 (2021; Zbl 1478.35152) Full Text: DOI arXiv
Dipierro, Serena; Poggesi, Giorgio; Valdinoci, Enrico A Serrin-type problem with partial knowledge of the domain. (English) Zbl 1462.35209 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 208, Article ID 112330, 44 p. (2021). MSC: 35N25 35J25 53A10 35B35 35A23 PDFBibTeX XMLCite \textit{S. Dipierro} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 208, Article ID 112330, 44 p. (2021; Zbl 1462.35209) Full Text: DOI arXiv
Poggesi, Giorgio Radial symmetry for \(p\)-harmonic functions in exterior and punctured domains. (English) Zbl 1421.35231 Appl. Anal. 98, No. 10, 1785-1798 (2019). Reviewer: Bernhard Kawohl (Köln) MSC: 35N25 35A23 53A10 35J92 PDFBibTeX XMLCite \textit{G. Poggesi}, Appl. Anal. 98, No. 10, 1785--1798 (2019; Zbl 1421.35231) Full Text: DOI arXiv
Fragalà, Ilaria; Velichkov, Bozhidar Serrin-type theorems for triangles. (English) Zbl 1407.35146 Proc. Am. Math. Soc. 147, No. 4, 1615-1626 (2019). MSC: 35N25 35J57 49Q10 PDFBibTeX XMLCite \textit{I. Fragalà} and \textit{B. Velichkov}, Proc. Am. Math. Soc. 147, No. 4, 1615--1626 (2019; Zbl 1407.35146) Full Text: DOI
Ruan, Qi-hua; Wang, Weihua; Huang, Qin An overdetermined problem for a weighted Poisson’s equation. (English) Zbl 1409.35153 Comput. Math. Appl. 75, No. 9, 3139-3146 (2018). MSC: 35N25 35J05 PDFBibTeX XMLCite \textit{Q.-h. Ruan} et al., Comput. Math. Appl. 75, No. 9, 3139--3146 (2018; Zbl 1409.35153) Full Text: DOI
Banerjee, Agnid; Kawohl, Bernd Overdetermined problems for the normalized \(p\)-Laplacian. (English) Zbl 1394.35294 Proc. Am. Math. Soc., Ser. B 5, 18-24 (2018). MSC: 35N25 35J62 35D40 PDFBibTeX XMLCite \textit{A. Banerjee} and \textit{B. Kawohl}, Proc. Am. Math. Soc., Ser. B 5, 18--24 (2018; Zbl 1394.35294) Full Text: DOI arXiv
Ivanyshyn Yaman, Olha; Kress, Rainer Nonlinear integral equations for Bernoulli’s free boundary value problem in three dimensions. (English) Zbl 1397.45005 Comput. Math. Appl. 74, No. 11, 2784-2791 (2017). MSC: 45L05 45G15 35R35 PDFBibTeX XMLCite \textit{O. Ivanyshyn Yaman} and \textit{R. Kress}, Comput. Math. Appl. 74, No. 11, 2784--2791 (2017; Zbl 1397.45005) Full Text: DOI Link
Ros, Antonio; Ruiz, David; Sicbaldi, Pieralberto A rigidity result for overdetermined elliptic problems in the plane. (English) Zbl 1373.35207 Commun. Pure Appl. Math. 70, No. 7, 1223-1252 (2017). Reviewer: Antonio Greco (Cagliari) MSC: 35N25 35J25 PDFBibTeX XMLCite \textit{A. Ros} et al., Commun. Pure Appl. Math. 70, No. 7, 1223--1252 (2017; Zbl 1373.35207) Full Text: DOI arXiv
Brock, F. Symmetry for a general class of overdetermined elliptic problems. (English) Zbl 1361.35016 NoDEA, Nonlinear Differ. Equ. Appl. 23, No. 3, Paper No. 36, 16 p. (2016). MSC: 35B06 35Nxx 28D10 35B05 35B50 35J70 35J66 PDFBibTeX XMLCite \textit{F. Brock}, NoDEA, Nonlinear Differ. Equ. Appl. 23, No. 3, Paper No. 36, 16 p. (2016; Zbl 1361.35016) Full Text: DOI arXiv
Ciraolo, Giulio; Vezzoni, Luigi A remark on an overdetermined problem in Riemannian geometry. (English) Zbl 1356.35150 Gazzola, Filippo (ed.) et al., Geometric properties for parabolic and elliptic PDE’s. Contributions of the 4th Italian-Japanese workshop, GPPEPDEs, Palinuro, Italy, May 25–29, 2015. Cham: Springer (ISBN 978-3-319-41536-9/hbk; 978-3-319-41538-3/ebook). Springer Proceedings in Mathematics & Statistics 176, 87-96 (2016). Reviewer: Antonio Greco (Cagliari) MSC: 35N25 35B06 31C12 58J05 35B51 PDFBibTeX XMLCite \textit{G. Ciraolo} and \textit{L. Vezzoni}, Springer Proc. Math. Stat. 176, 87--96 (2016; Zbl 1356.35150) Full Text: DOI arXiv
Seck, Diaraf On an isoperimetric inequality and various methods for the Bernoulli’s free boundary problems. (English) Zbl 1348.35332 São Paulo J. Math. Sci. 10, No. 1, 36-59 (2016). MSC: 35R35 49Q10 PDFBibTeX XMLCite \textit{D. Seck}, São Paulo J. Math. Sci. 10, No. 1, 36--59 (2016; Zbl 1348.35332) Full Text: DOI
Crasta, Graziano; Fragalà, Ilaria Characterization of stadium-like domains via boundary value problems for the infinity Laplacian. (English) Zbl 1336.35257 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 133, 228-249 (2016). MSC: 35N25 49K30 35J70 49K20 35D40 35J92 PDFBibTeX XMLCite \textit{G. Crasta} and \textit{I. Fragalà}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 133, 228--249 (2016; Zbl 1336.35257) Full Text: DOI arXiv
Crasta, Graziano; Fragalà, Ilaria On the Dirichlet and Serrin problems for the inhomogeneous infinity Laplacian in convex domains: regularity and geometric results. (English) Zbl 1373.35206 Arch. Ration. Mech. Anal. 218, No. 3, 1577-1607 (2015). Reviewer: Bernhard Kawohl (Köln) MSC: 35N25 35D40 35J25 PDFBibTeX XMLCite \textit{G. Crasta} and \textit{I. Fragalà}, Arch. Ration. Mech. Anal. 218, No. 3, 1577--1607 (2015; Zbl 1373.35206) Full Text: DOI arXiv
Dai, Qiuyi; Shi, Feilin Variational formula and overdetermined problem for the principal eigenvalue of \(k\)-Hessian operator. (English) Zbl 1296.49043 J. Differ. Equations 255, No. 11, 4136-4148 (2013). Reviewer: Werner M. Seiler (Kassel) MSC: 49R05 49Q10 35P15 35P99 35J65 35N25 PDFBibTeX XMLCite \textit{Q. Dai} and \textit{F. Shi}, J. Differ. Equations 255, No. 11, 4136--4148 (2013; Zbl 1296.49043) Full Text: DOI
Fragalà, Ilaria Symmetry results for overdetermined problems on convex domains via Brunn-Minkowski inequalities. (English) Zbl 1235.35203 J. Math. Pures Appl. (9) 97, No. 1, 55-65 (2012). Reviewer: Florin Catrina (New York) MSC: 35N25 35B06 35J57 PDFBibTeX XMLCite \textit{I. Fragalà}, J. Math. Pures Appl. (9) 97, No. 1, 55--65 (2012; Zbl 1235.35203) Full Text: DOI
Canuto, B. A local symmetry result for linear elliptic problems with solutions changing sign. (English) Zbl 1242.35182 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 28, No. 4, 551-564 (2011). Reviewer: Stepan Agop Tersian (Rousse) MSC: 35N25 35B06 35J25 PDFBibTeX XMLCite \textit{B. Canuto}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 28, No. 4, 551--564 (2011; Zbl 1242.35182) Full Text: DOI
Enciso, Alberto; Peralta-Salas, Daniel A symmetry result for the \(p\)-Laplacian in a punctured manifold. (English) Zbl 1173.35010 J. Math. Anal. Appl. 354, No. 2, 619-624 (2009). MSC: 35B05 58J05 35N10 58J70 PDFBibTeX XMLCite \textit{A. Enciso} and \textit{D. Peralta-Salas}, J. Math. Anal. Appl. 354, No. 2, 619--624 (2009; Zbl 1173.35010) Full Text: DOI
Enciso, Alberto; Peralta-Salas, Daniel Symmetry for an overdetermined boundary problem in a punctured domain. (English) Zbl 1152.35523 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 2, 1080-1086 (2009). MSC: 35R35 35J60 35J20 PDFBibTeX XMLCite \textit{A. Enciso} and \textit{D. Peralta-Salas}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 2, 1080--1086 (2009; Zbl 1152.35523) Full Text: DOI
Fragalà, Ilaria; Gazzola, Filippo Partially overdetermined elliptic boundary value problems. (English) Zbl 1156.35049 J. Differ. Equations 245, No. 5, 1299-1322 (2008). MSC: 35J70 35J65 35B50 PDFBibTeX XMLCite \textit{I. Fragalà} and \textit{F. Gazzola}, J. Differ. Equations 245, No. 5, 1299--1322 (2008; Zbl 1156.35049) Full Text: DOI
Lewis, John L.; Vogel, Andrew L. Symmetry theorems and uniform rectifiability. (English) Zbl 1154.35097 Bound. Value Probl. 2007, Article ID 30190, 59 p. (2007). Reviewer: Marco Biroli (Milano) MSC: 35R35 35J60 PDFBibTeX XMLCite \textit{J. L. Lewis} and \textit{A. L. Vogel}, Bound. Value Probl. 2007, Article ID 30190, 59 p. (2007; Zbl 1154.35097) Full Text: DOI EuDML
Lewis, John L.; Nyström, Kaj On a parabolic symmetry problem. (English) Zbl 1242.35130 Rev. Mat. Iberoam. 23, No. 2, 513-536 (2007). MSC: 35K05 35A08 35A30 PDFBibTeX XMLCite \textit{J. L. Lewis} and \textit{K. Nyström}, Rev. Mat. Iberoam. 23, No. 2, 513--536 (2007; Zbl 1242.35130) Full Text: DOI Euclid EuDML
Fragalà, Ilaria; Gazzola, Filippo; Kawohl, Bernd Overdetermined problems with possibly degenerate ellipticity, a geometric approach. (English) Zbl 1220.35077 Math. Z. 254, No. 1, 117-132 (2006). MSC: 35J70 35B50 PDFBibTeX XMLCite \textit{I. Fragalà} et al., Math. Z. 254, No. 1, 117--132 (2006; Zbl 1220.35077) Full Text: DOI
Brock, F.; Henrot, Antoine A symmetry result for an overdetermined elliptic problem using continuous rearrangement and domain derivative. (English) Zbl 1194.35282 Rend. Circ. Mat. Palermo (2) 51, No. 3, 375-390 (2002). MSC: 35N10 PDFBibTeX XMLCite \textit{F. Brock} and \textit{A. Henrot}, Rend. Circ. Mat. Palermo (2) 51, No. 3, 375--390 (2002; Zbl 1194.35282) Full Text: DOI
Henrot, Antoine; Shahgholian, Henrik The one phase free boundary problem for the \(p\)-Laplacian with non-constant Bernoulli boundary condition. (English) Zbl 0988.35174 Trans. Am. Math. Soc. 354, No. 6, 2399-2416 (2002). MSC: 35R35 76S05 35J70 PDFBibTeX XMLCite \textit{A. Henrot} and \textit{H. Shahgholian}, Trans. Am. Math. Soc. 354, No. 6, 2399--2416 (2002; Zbl 0988.35174) Full Text: DOI
Brock, F.; Prajapat, J. Some new symmetry results for elliptic problems on the sphere and in Euclidean space. (English) Zbl 1008.35002 Rend. Circ. Mat. Palermo, II. Ser. 49, No. 3, 445-462 (2000). Reviewer: Lubomira G.Softova (Bari) MSC: 35B05 35J60 35J25 35B50 35J65 PDFBibTeX XMLCite \textit{F. Brock} and \textit{J. Prajapat}, Rend. Circ. Mat. Palermo (2) 49, No. 3, 445--462 (2000; Zbl 1008.35002) Full Text: DOI
Sartori, Elena On a free boundary problem for the \(p\)-Laplacian. (English) Zbl 0893.35031 J. Math. Anal. Appl. 218, No. 1, 117-126 (1998). Reviewer: Marco Biroli (Monza) MSC: 35J60 35R35 35B50 PDFBibTeX XMLCite \textit{E. Sartori}, J. Math. Anal. Appl. 218, No. 1, 117--126 (1998; Zbl 0893.35031) Full Text: DOI
Henrot, Antoine; Philippin, Gérard A. On a class of overdetermined eigenvalue problems. (English) Zbl 0881.35082 Math. Methods Appl. Sci. 20, No. 11, 905-914 (1997). MSC: 35N10 35J25 58J70 31B20 35P05 35R35 PDFBibTeX XMLCite \textit{A. Henrot} and \textit{G. A. Philippin}, Math. Methods Appl. Sci. 20, No. 11, 905--914 (1997; Zbl 0881.35082) Full Text: DOI