Cruz-Blázquez, Sergio; Pistoia, Angela Non-degeneracy of critical points of the squared norm of the second fundamental form on manifolds with minimal boundary. (English) Zbl 1521.58003 J. Geom. Anal. 33, No. 10, Paper No. 332, 16 p. (2023). Reviewer: Marcelo Furtado (Brasília) MSC: 58E05 58J60 53C21 PDFBibTeX XMLCite \textit{S. Cruz-Blázquez} and \textit{A. Pistoia}, J. Geom. Anal. 33, No. 10, Paper No. 332, 16 p. (2023; Zbl 1521.58003) Full Text: DOI arXiv
López-Soriano, Rafael; Malchiodi, Andrea; Ruiz, David Conformal metrics with prescribed Gaussian and geodesic curvatures. (English. French summary) Zbl 1511.30015 Ann. Sci. Éc. Norm. Supér. (4) 55, No. 5, 1289-1328 (2022). Reviewer: Igor V. Nikolaev (New York) MSC: 30F10 30G20 35B44 PDFBibTeX XMLCite \textit{R. López-Soriano} et al., Ann. Sci. Éc. Norm. Supér. (4) 55, No. 5, 1289--1328 (2022; Zbl 1511.30015) Full Text: DOI arXiv
Ahmedou, Mohameden; Ayed, Mohamed Ben Non simple blow ups for the Nirenberg problem on half spheres. (English) Zbl 1502.35004 Discrete Contin. Dyn. Syst. 42, No. 12, 5967-6005 (2022). MSC: 35A15 35J20 35R01 58J05 58E05 PDFBibTeX XMLCite \textit{M. Ahmedou} and \textit{M. B. Ayed}, Discrete Contin. Dyn. Syst. 42, No. 12, 5967--6005 (2022; Zbl 1502.35004) Full Text: DOI arXiv
Ghimenti, Marco G.; Micheletti, Anna Maria Blowing up solutions for supercritical Yamabe problems on manifolds with non-umbilic boundary. (English) Zbl 1501.35216 Commun. Contemp. Math. 24, No. 9, Article ID 2150035, 23 p. (2022). MSC: 35J65 58J05 35A01 35B44 PDFBibTeX XMLCite \textit{M. G. Ghimenti} and \textit{A. M. Micheletti}, Commun. Contemp. Math. 24, No. 9, Article ID 2150035, 23 p. (2022; Zbl 1501.35216) Full Text: DOI arXiv
Cruz-Blázquez, Sergio; Malchiodi, Andrea; Ruiz, David Conformal metrics with prescribed scalar and mean curvature. (English) Zbl 1503.53063 J. Reine Angew. Math. 789, 211-251 (2022). Reviewer: James Hebda (St. Louis) MSC: 53C18 53C20 53C21 PDFBibTeX XMLCite \textit{S. Cruz-Blázquez} et al., J. Reine Angew. Math. 789, 211--251 (2022; Zbl 1503.53063) Full Text: DOI arXiv
Kim, Seunghyeok; Musso, Monica; Wei, Juncheng Compactness of scalar-flat conformal metrics on low-dimensional manifolds with constant mean curvature on boundary. (English) Zbl 1475.35050 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 38, No. 6, 1763-1793 (2021). MSC: 35B40 30F45 35J65 35R01 53A31 53C18 53C21 PDFBibTeX XMLCite \textit{S. Kim} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 38, No. 6, 1763--1793 (2021; Zbl 1475.35050) Full Text: DOI arXiv
Ahmedou, Mohameden; Ben Ayed, Mohamed The Nirenberg problem on high dimensional half spheres: the effect of pinching conditions. (English) Zbl 1473.35241 Calc. Var. Partial Differ. Equ. 60, No. 4, Paper No. 148, 41 p. (2021). MSC: 35J61 35J25 58J05 35A15 PDFBibTeX XMLCite \textit{M. Ahmedou} and \textit{M. Ben Ayed}, Calc. Var. Partial Differ. Equ. 60, No. 4, Paper No. 148, 41 p. (2021; Zbl 1473.35241) Full Text: DOI arXiv
de Souza, Manassés Compactness for a class of Yamabe-type problems on manifolds with boundary. (English) Zbl 1437.35174 J. Differ. Equations 269, No. 4, 3119-3159 (2020). MSC: 35J05 35J65 58J05 PDFBibTeX XMLCite \textit{M. de Souza}, J. Differ. Equations 269, No. 4, 3119--3159 (2020; Zbl 1437.35174) Full Text: DOI
Ho, Pak Tung Prescribed mean curvature equation on the unit ball in the presence of reflection or rotation symmetry. (English) Zbl 1419.53066 Proc. R. Soc. Edinb., Sect. A, Math. 149, No. 3, 781-794 (2019). MSC: 53C44 53A30 35J93 35B44 PDFBibTeX XMLCite \textit{P. T. Ho}, Proc. R. Soc. Edinb., Sect. A, Math. 149, No. 3, 781--794 (2019; Zbl 1419.53066) Full Text: DOI arXiv
Cruz-Blázquez, Sergio; Ruiz, David Prescribing Gaussian and geodesic curvature on disks. (English) Zbl 1397.35084 Adv. Nonlinear Stud. 18, No. 3, 453-468 (2018). MSC: 35J20 53A30 PDFBibTeX XMLCite \textit{S. Cruz-Blázquez} and \textit{D. Ruiz}, Adv. Nonlinear Stud. 18, No. 3, 453--468 (2018; Zbl 1397.35084) Full Text: DOI arXiv
Chen, Xuezhang; Ho, Pak Tung; Sun, Liming Prescribed scalar curvature plus mean curvature flows in compact manifolds with boundary of negative conformal invariant. (English) Zbl 1412.53090 Ann. Global Anal. Geom. 53, No. 1, 121-150 (2018). Reviewer: Sergiu Moroianu (Bucureşti) MSC: 53C44 53C21 35B50 35J60 35K55 35R01 PDFBibTeX XMLCite \textit{X. Chen} et al., Ann. Global Anal. Geom. 53, No. 1, 121--150 (2018; Zbl 1412.53090) Full Text: DOI arXiv
Alghanemi, Azeb; Abdelhedi, Wael; Chtioui, Hichem Prescribing the scalar curvature problem on the four-dimensional half sphere. (English) Zbl 1381.35038 Arab. J. Math. 6, No. 3, 137-151 (2017). MSC: 35J60 35J20 58J05 PDFBibTeX XMLCite \textit{A. Alghanemi} et al., Arab. J. Math. 6, No. 3, 137--151 (2017; Zbl 1381.35038) Full Text: DOI
Jebril, Iqbal H. Nonlinear problem with subcritical exponent in Sobolev space. (English) Zbl 1357.53042 J. Inequal. Appl. 2016, Paper No. 305, 11 p. (2016). MSC: 53C21 35J60 PDFBibTeX XMLCite \textit{I. H. Jebril}, J. Inequal. Appl. 2016, Paper No. 305, 11 p. (2016; Zbl 1357.53042) Full Text: DOI
Ould Bouh, Kamal Blowing up of sign-changing solutions to a subcritical problem. (English) Zbl 1311.35084 Manuscr. Math. 146, No. 1-2, 265-279 (2015). Reviewer: Dagmar Medková (Praha) MSC: 35J20 35J60 35B44 35B40 PDFBibTeX XMLCite \textit{K. Ould Bouh}, Manuscr. Math. 146, No. 1--2, 265--279 (2015; Zbl 1311.35084) Full Text: DOI
Yacoub, Ridha Existence and multiplicity results for the scalar curvature problem on the half-sphere \(\mathbb S^3_+\). (English) Zbl 1314.53067 Geometry 2014, Article ID 582367, 9 p. (2014). MSC: 53C20 PDFBibTeX XMLCite \textit{R. Yacoub}, Geometry 2014, Article ID 582367, 9 p. (2014; Zbl 1314.53067) Full Text: DOI
Gluck, Mathew R.; Guo, Ying; Zhang, Lei A Harnack-type inequality for a prescribed-curvature equation on a domain with boundary. (English) Zbl 1309.35028 Adv. Nonlinear Stud. 14, No. 3, 709-746 (2014). Reviewer: Marlène Frigon (Montréal) MSC: 35J61 35J25 35B09 PDFBibTeX XMLCite \textit{M. R. Gluck} et al., Adv. Nonlinear Stud. 14, No. 3, 709--746 (2014; Zbl 1309.35028) Full Text: DOI arXiv
Ben Ayed, Mohamed; Ghoudi, Rabeh; Ould Bouh, Kamal Existence of conformal metrics with prescribed scalar curvature on the four dimensional half sphere. (English) Zbl 1259.53040 NoDEA, Nonlinear Differ. Equ. Appl. 19, No. 6, 629-662 (2012). MSC: 53C21 35J20 35J60 PDFBibTeX XMLCite \textit{M. Ben Ayed} et al., NoDEA, Nonlinear Differ. Equ. Appl. 19, No. 6, 629--662 (2012; Zbl 1259.53040) Full Text: DOI
de Moura Almaraz, Sérgio Blow-up phenomena for scalar-flat metrics on manifolds with boundary. (English) Zbl 1223.53031 J. Differ. Equations 251, No. 7, 1813-1840 (2011). MSC: 53C20 53C25 53C21 PDFBibTeX XMLCite \textit{S. de Moura Almaraz}, J. Differ. Equations 251, No. 7, 1813--1840 (2011; Zbl 1223.53031) Full Text: DOI arXiv
de Moura Almaraz, Sérgio A compactness theorem for scalar-flat metrics on manifolds with boundary. (English) Zbl 1225.53040 Calc. Var. Partial Differ. Equ. 41, No. 3-4, 341-386 (2011). Reviewer: Dumitru Motreanu (Perpignan) MSC: 53C21 35J65 PDFBibTeX XMLCite \textit{S. de Moura Almaraz}, Calc. Var. Partial Differ. Equ. 41, No. 3--4, 341--386 (2011; Zbl 1225.53040) Full Text: DOI arXiv
Abdelhedi, Wael; Chtioui, Hichem; Ould Ahmedou, Mohameden Conformal metrics with prescribed boundary mean curvature on balls. (English) Zbl 1185.53034 Ann. Global Anal. Geom. 36, No. 4, 327-362 (2009). Reviewer: Alina Stancu (Lowell) MSC: 53C20 58E05 35J65 53C21 35B40 PDFBibTeX XMLCite \textit{W. Abdelhedi} et al., Ann. Global Anal. Geom. 36, No. 4, 327--362 (2009; Zbl 1185.53034) Full Text: DOI arXiv
Zhang, Lei Prescribing curvatures on three dimensional Riemannian manifolds with boundaries. (English) Zbl 1176.53029 Trans. Am. Math. Soc. 361, No. 7, 3463-3481 (2009). Reviewer: Maria Falcitelli (Bari) MSC: 53B20 35J60 PDFBibTeX XMLCite \textit{L. Zhang}, Trans. Am. Math. Soc. 361, No. 7, 3463--3481 (2009; Zbl 1176.53029) Full Text: DOI arXiv
Abdelhedi, Wael; Chtioui, Hichem; Ahmedou, Mohameden Ould A Morse theoretical approach for the boundary mean curvature problem on \(\mathbb B^4\). (English) Zbl 1154.53006 J. Funct. Anal. 254, No. 5, 1307-1341 (2008). MSC: 53A07 53C43 58D17 58J32 PDFBibTeX XMLCite \textit{W. Abdelhedi} et al., J. Funct. Anal. 254, No. 5, 1307--1341 (2008; Zbl 1154.53006) Full Text: DOI
Abdelhedi, Wael; Chtioui, Hichem The prescribed boundary mean curvature problem on the standard \(n\)-dimensional ball. (English) Zbl 1190.53033 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 67, No. 3, 668-686 (2007). MSC: 53C21 35J92 PDFBibTeX XMLCite \textit{W. Abdelhedi} and \textit{H. Chtioui}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 67, No. 3, 668--686 (2007; Zbl 1190.53033) Full Text: DOI
Ahmedou, Mohameden Ould On the prescribed scalar and zero mean curvature on 3-dimensional manifolds with umbilic boundary. (English) Zbl 1111.58008 Adv. Nonlinear Stud. 6, No. 1, 13-46 (2006). Reviewer: Bülent Ünal (Ankara) MSC: 58E05 35J60 53C21 PDFBibTeX XMLCite \textit{M. O. Ahmedou}, Adv. Nonlinear Stud. 6, No. 1, 13--46 (2006; Zbl 1111.58008) Full Text: DOI
Ben Ayed, M.; El Mehdi, K.; Ould Ahmedou, M. The scalar curvature problem on the four dimensional half sphere. (English) Zbl 1130.35048 Calc. Var. Partial Differ. Equ. 22, No. 4, 465-482 (2005). Reviewer: Thierry Aubin (Paris) MSC: 35J60 35J20 58J05 53C21 47J30 PDFBibTeX XMLCite \textit{M. Ben Ayed} et al., Calc. Var. Partial Differ. Equ. 22, No. 4, 465--482 (2005; Zbl 1130.35048) Full Text: DOI arXiv Link
Djadli, Zindine; Malchiodi, Andrea; Ahmedou, Mohameden Ould The prescribed boundary mean curvature problem on \(\mathbb B^4\). (English) Zbl 1108.35070 J. Differ. Equations 206, No. 2, 373-398 (2004). MSC: 35J65 53C21 PDFBibTeX XMLCite \textit{Z. Djadli} et al., J. Differ. Equations 206, No. 2, 373--398 (2004; Zbl 1108.35070) Full Text: DOI
Djadli, Zindine; Malchiodi, Andrea; Ahmedou, Mohameden Ould Prescribing scalar and boundary mean curvature on the three dimensional half sphere. (English) Zbl 1092.53028 J. Geom. Anal. 13, No. 2, 255-289 (2003). MSC: 53C21 35B45 35J60 53A30 PDFBibTeX XMLCite \textit{Z. Djadli} et al., J. Geom. Anal. 13, No. 2, 255--289 (2003; Zbl 1092.53028) Full Text: DOI arXiv