Afonso, Danilo Gregorin; Iacopetti, Alessandro; Pacella, Filomena Overdetermined problems and relative Cheeger sets in unbounded domains. (English) Zbl 07799900 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 34, No. 2, 531-546 (2023). MSC: 35N25 35J25 49Q10 53A10 PDFBibTeX XMLCite \textit{D. G. Afonso} et al., Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 34, No. 2, 531--546 (2023; Zbl 07799900) Full Text: DOI arXiv
Tasso, Emanuele On the blow-up of GSBV functions under suitable geometric properties of the jump set. (English) Zbl 1497.28003 Adv. Calc. Var. 15, No. 1, 59-108 (2022). MSC: 28A75 26B30 31C15 PDFBibTeX XMLCite \textit{E. Tasso}, Adv. Calc. Var. 15, No. 1, 59--108 (2022; Zbl 1497.28003) Full Text: DOI
Sabina de Lis, José C.; Segura de León, Sergio The limit as \(p\to 1\) of the higher eigenvalues of the \(p\)-Laplacian operator \(\Delta_p\). (English) Zbl 1480.35307 Indiana Univ. Math. J. 70, No. 4, 1395-1439 (2021). Reviewer: Petr Tomiczek (Plzeň) MSC: 35P30 35J25 35J92 49K15 49R05 35B38 PDFBibTeX XMLCite \textit{J. C. Sabina de Lis} and \textit{S. Segura de León}, Indiana Univ. Math. J. 70, No. 4, 1395--1439 (2021; Zbl 1480.35307) Full Text: DOI
Brasco, Lorenzo On principal frequencies and isoperimetric ratios in convex sets. (English. French summary) Zbl 1454.35242 Ann. Fac. Sci. Toulouse, Math. (6) 29, No. 4, 977-1005 (2020). MSC: 35P15 49J40 35J70 35J25 PDFBibTeX XMLCite \textit{L. Brasco}, Ann. Fac. Sci. Toulouse, Math. (6) 29, No. 4, 977--1005 (2020; Zbl 1454.35242) Full Text: DOI arXiv
Patra, Suchismita; Chaudhary, Sudhakar; Srinivas Kumar, V. V. K. Approximation of the first eigenpair of the \(p\)-Laplace operator using web-spline based finite element method. (English) Zbl 1464.74196 Eng. Anal. Bound. Elem. 104, 277-287 (2019). MSC: 74S05 65N30 35J92 35P30 65D07 65N25 PDFBibTeX XMLCite \textit{S. Patra} et al., Eng. Anal. Bound. Elem. 104, 277--287 (2019; Zbl 1464.74196) Full Text: DOI
Ercole, Grey; do Espírito Santo, Júlio César; Martins, Eder Marinho Computing the best constant in the Sobolev inequality for a ball. (English) Zbl 1418.35198 Appl. Anal. 98, No. 7, 1307-1323 (2019). MSC: 35J92 35J40 PDFBibTeX XMLCite \textit{G. Ercole} et al., Appl. Anal. 98, No. 7, 1307--1323 (2019; Zbl 1418.35198) Full Text: DOI
Aghajani, A.; Tehrani, A. Mosleh Lower bounds for the principal eigenvalue of the \(p\)-Laplacian on the unit ball. (English) Zbl 1416.35122 Numer. Funct. Anal. Optim. 39, No. 13, 1440-1465 (2018). MSC: 35J92 35P15 PDFBibTeX XMLCite \textit{A. Aghajani} and \textit{A. M. Tehrani}, Numer. Funct. Anal. Optim. 39, No. 13, 1440--1465 (2018; Zbl 1416.35122) Full Text: DOI
Xu, Cong; Wang, Jizeng; Liu, Xiaojing; Zhang, Lei; Zhou, Youhe Coiflet solution of strongly nonlinear \(p\)-Laplacian equations. (English) Zbl 1367.35087 AMM, Appl. Math. Mech., Engl. Ed. 38, No. 7, 1031-1042 (2017). MSC: 35K92 65N30 PDFBibTeX XMLCite \textit{C. Xu} et al., AMM, Appl. Math. Mech., Engl. Ed. 38, No. 7, 1031--1042 (2017; Zbl 1367.35087) Full Text: DOI
Bobkov, Vladimir; Drábek, Pavel On some unexpected properties of radial and symmetric eigenvalues and eigenfunctions of the \(p\)-Laplacian on a disk. (English) Zbl 1366.35109 J. Differ. Equations 263, No. 3, 1755-1772 (2017). Reviewer: In-Sook Kim (Suwon) MSC: 35P30 35P15 47J10 49R05 PDFBibTeX XMLCite \textit{V. Bobkov} and \textit{P. Drábek}, J. Differ. Equations 263, No. 3, 1755--1772 (2017; Zbl 1366.35109) Full Text: DOI arXiv
Ariturk, Sinan Simons’ cone and equivariant maximization of the first \(p\)-Laplace eigenvalue. (English) Zbl 1364.35225 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 150, 210-233 (2017). MSC: 35P30 35J92 35R01 PDFBibTeX XMLCite \textit{S. Ariturk}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 150, 210--233 (2017; Zbl 1364.35225) Full Text: DOI arXiv
Bobkov, Vladimir; Il’yasov, Yavdat Maximal existence domains of positive solutions for two-parametric systems of elliptic equations. (English) Zbl 1342.35100 Complex Var. Elliptic Equ. 61, No. 5, 587-607 (2016). Reviewer: Marius Ghergu (Dublin) MSC: 35J50 35J60 35J70 35R05 PDFBibTeX XMLCite \textit{V. Bobkov} and \textit{Y. Il'yasov}, Complex Var. Elliptic Equ. 61, No. 5, 587--607 (2016; Zbl 1342.35100) Full Text: DOI arXiv
Ilias, Said; Nelli, Barbara; Soret, Marc On the entropies of hypersurfaces with bounded mean curvature. (English) Zbl 1337.35100 Math. Ann. 364, No. 3-4, 1095-1120 (2016). Reviewer: Andreas Savas-Halilaj (Hannover) MSC: 35P15 53A10 53C40 PDFBibTeX XMLCite \textit{S. Ilias} et al., Math. Ann. 364, No. 3--4, 1095--1120 (2016; Zbl 1337.35100) Full Text: DOI arXiv
Leonardi, Gian Paolo An overview on the Cheeger problem. (English) Zbl 1329.49088 Pratelli, Aldo (ed.) et al., New trends in shape optimization. Cham: Birkhäuser/Springer (ISBN 978-3-319-17562-1/hbk; 978-3-319-17563-8/ebook). ISNM. International Series of Numerical Mathematics 166, 117-139 (2015). MSC: 49Q10 PDFBibTeX XMLCite \textit{G. P. Leonardi}, ISNM, Int. Ser. Numer. Math. 166, 117--139 (2015; Zbl 1329.49088) Full Text: DOI arXiv
Steinerberger, Stefan Sharp \(L^1\)-Poincaré inequalities correspond to optimal hypersurface cuts. (English) Zbl 1337.46028 Arch. Math. 105, No. 2, 179-188 (2015). Reviewer: Zsolt Lángi (Budapest) MSC: 46E35 52A38 52A40 PDFBibTeX XMLCite \textit{S. Steinerberger}, Arch. Math. 105, No. 2, 179--188 (2015; Zbl 1337.46028) Full Text: DOI arXiv
Kuznetsov, Nikolay; Nazarov, Alexander Sharp constants in the Poincaré, Steklov and related inequalities (a survey). (English) Zbl 1321.26042 Mathematika 61, No. 2, 328-344 (2015). Reviewer: József Sándor (Cluj-Napoca) MSC: 26D10 46E35 35A23 PDFBibTeX XMLCite \textit{N. Kuznetsov} and \textit{A. Nazarov}, Mathematika 61, No. 2, 328--344 (2015; Zbl 1321.26042) Full Text: DOI
Ercole, Grey; do Espírito Santo, Júlio César; Martins, Eder Marinho Computing the first eigenpair of the \(p\)-Laplacian in annuli. (English) Zbl 1394.35204 J. Math. Anal. Appl. 422, No. 2, 1277-1307 (2015). MSC: 35J92 35J20 35P30 65N25 PDFBibTeX XMLCite \textit{G. Ercole} et al., J. Math. Anal. Appl. 422, No. 2, 1277--1307 (2015; Zbl 1394.35204) Full Text: DOI
Mao, Jing Eigenvalue inequalities for the \(p\)-Laplacian on a Riemannian manifold and estimates for the heat kernel. (English) Zbl 1285.58013 J. Math. Pures Appl. (9) 101, No. 3, 372-393 (2014). MSC: 58J50 58J35 35P15 53C21 PDFBibTeX XMLCite \textit{J. Mao}, J. Math. Pures Appl. (9) 101, No. 3, 372--393 (2014; Zbl 1285.58013) Full Text: DOI arXiv
Biezuner, Rodney Josué; Brown, Jed; Ercole, Grey; Martins, Eder Marinho Computing the first eigenpair of the \(p\)-Laplacian via inverse iteration of sublinear supersolutions. (English) Zbl 1255.65205 J. Sci. Comput. 52, No. 1, 180-201 (2012). MSC: 65N25 PDFBibTeX XMLCite \textit{R. J. Biezuner} et al., J. Sci. Comput. 52, No. 1, 180--201 (2012; Zbl 1255.65205) Full Text: DOI arXiv
Bueno, H.; Ercole, G. Solutions of the Cheeger problem via torsion functions. (English) Zbl 1260.49080 J. Math. Anal. Appl. 381, No. 1, 263-279 (2011). Reviewer: Wiesław Kotarski (Sosnowiec) MSC: 49Q20 35J92 35J25 PDFBibTeX XMLCite \textit{H. Bueno} and \textit{G. Ercole}, J. Math. Anal. Appl. 381, No. 1, 263--279 (2011; Zbl 1260.49080) Full Text: DOI arXiv
Parini, Enea The second eigenvalue of the \(p\)-Laplacian as \(p\) goes to 1. (English) Zbl 1207.35235 Int. J. Differ. Equ. 2010, Article ID 984671, 23 p. (2010). MSC: 35P05 35B40 35B30 PDFBibTeX XMLCite \textit{E. Parini}, Int. J. Differ. Equ. 2010, Article ID 984671, 23 p. (2010; Zbl 1207.35235) Full Text: DOI EuDML
Caselles, Vicent; Chambolle, Antonin; Novaga, M. Some remarks on uniqueness and regularity of Cheeger sets. (English) Zbl 1198.49042 Rend. Semin. Mat. Univ. Padova 123, 191-201 (2010). MSC: 49Q20 49N60 PDFBibTeX XMLCite \textit{V. Caselles} et al., Rend. Semin. Mat. Univ. Padova 123, 191--201 (2010; Zbl 1198.49042) Full Text: DOI EuDML Link
Bueno, H.; Ercole, G.; Zumpano, A. Positive solutions for the \(p\)-Laplacian and bounds for its first eigenvalue. (English) Zbl 1181.35115 Adv. Nonlinear Stud. 9, No. 2, 313-338 (2009). MSC: 35J92 35B09 35J25 35P15 35J65 35J70 52A38 PDFBibTeX XMLCite \textit{H. Bueno} et al., Adv. Nonlinear Stud. 9, No. 2, 313--338 (2009; Zbl 1181.35115) Full Text: DOI
Biezuner, Rodney Josué; Ercole, Grey; Martins, Eder Marinho Computing the first eigenvalue of the \(p\)-Laplacian via the inverse power method. (English) Zbl 1172.35047 J. Funct. Anal. 257, No. 1, 243-270 (2009). Reviewer: Qin Mengzhao (Beijing) MSC: 35P30 65F15 47J10 PDFBibTeX XMLCite \textit{R. J. Biezuner} et al., J. Funct. Anal. 257, No. 1, 243--270 (2009; Zbl 1172.35047) Full Text: DOI
Alter, François; Caselles, Vicent Uniqueness of the Cheeger set of a convex body. (English) Zbl 1167.52005 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 1, 32-44 (2009). Reviewer: Martin Henk (Magdeburg) MSC: 52A20 49Q20 35J60 52A38 PDFBibTeX XMLCite \textit{F. Alter} and \textit{V. Caselles}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 1, 32--44 (2009; Zbl 1167.52005) Full Text: DOI Link
Fleckinger, Jacqueline; Harrell, Evans M. II; de Thélin, François On the fundamental eigenvalue ratio of the \(p\)-Laplacian. (English) Zbl 1127.35012 Bull. Sci. Math. 131, No. 7, 613-619 (2007). MSC: 35J60 35P15 35J70 PDFBibTeX XMLCite \textit{J. Fleckinger} et al., Bull. Sci. Math. 131, No. 7, 613--619 (2007; Zbl 1127.35012) Full Text: DOI arXiv
Bognár, G.; Szabó, T. Solving nonlinear eigenvalue problems by using \(p\)-version of FEM. (English) Zbl 1049.65125 Comput. Math. Appl. 46, No. 1, 57-68 (2003). MSC: 65N25 65N30 35P30 PDFBibTeX XMLCite \textit{G. Bognár} and \textit{T. Szabó}, Comput. Math. Appl. 46, No. 1, 57--68 (2003; Zbl 1049.65125) Full Text: DOI
Mackerle, Jaroslav Error estimates and adaptive finite element methods. A bibliography (1990–2000). (English) Zbl 0985.65140 Eng. Comput. (Bradf.) 18, No. 5-6, 802-914 (2001). MSC: 65N30 74S05 65N15 65-00 74-00 65M60 65M15 78M10 PDFBibTeX XMLCite \textit{J. Mackerle}, Eng. Comput. (Bradf.) 18, No. 5--6, 802--914 (2001; Zbl 0985.65140) Full Text: DOI