Boscaggin, Alberto; Colasuonno, Francesca; De Coster, Colette Multiple bounded variation solutions for a prescribed mean curvature equation with Neumann boundary conditions. (English) Zbl 07332799 J. Differ. Equations 285, 607-639 (2021). MSC: 35J93 35A24 35B05 35B09 35B45 PDF BibTeX XML Cite \textit{A. Boscaggin} et al., J. Differ. Equations 285, 607--639 (2021; Zbl 07332799) Full Text: DOI
Corsato, Chiara; De Coster, Colette; Flora, Noemi; Omari, Pierpaolo Radial solutions of the Dirichlet problem for a class of quasilinear elliptic equations arising in optometry. (English) Zbl 1414.35095 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 181, 9-23 (2019). MSC: 35J93 35J25 35B07 35A01 35A02 PDF BibTeX XML Cite \textit{C. Corsato} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 181, 9--23 (2019; Zbl 1414.35095) Full Text: DOI
Okrasiński, Wojciech; Płociniczak, Łukasz Solution estimates for a system of nonlinear integral equations arising in optometry. (English) Zbl 1395.45011 J. Integral Equations Appl. 30, No. 1, 167-179 (2018). Reviewer: Alexander N. Tynda (Penza) MSC: 45G15 34B15 PDF BibTeX XML Cite \textit{W. Okrasiński} and \textit{Ł. Płociniczak}, J. Integral Equations Appl. 30, No. 1, 167--179 (2018; Zbl 1395.45011) Full Text: DOI Euclid
Soranzo, Alessandro; Omari, Pierpaolo; Obersnel, Franco; Coster, Colette De; Corsato, Chiara A prescribed anisotropic mean curvature equation modeling the corneal shape: a paradigm of nonlinear analysis. (English) Zbl 1374.35187 Discrete Contin. Dyn. Syst., Ser. S 11, No. 2, 213-256 (2018). MSC: 35J93 35J25 35J62 35J67 35B09 35B51 35J20 PDF BibTeX XML Cite \textit{A. Soranzo} et al., Discrete Contin. Dyn. Syst., Ser. S 11, No. 2, 213--256 (2018; Zbl 1374.35187) Full Text: DOI
Corsato, Chiara; De Coster, Colette; Omari, Pierpaolo The Dirichlet problem for a prescribed anisotropic mean curvature equation: existence, uniqueness and regularity of solutions. (English) Zbl 1335.35083 J. Differ. Equations 260, No. 5, 4572-4618 (2016). Reviewer: Valery V. Karachik (Chelyabinsk) MSC: 35J93 35J25 35J62 35J67 35B09 35B51 35D30 35J20 PDF BibTeX XML Cite \textit{C. Corsato} et al., J. Differ. Equations 260, No. 5, 4572--4618 (2016; Zbl 1335.35083) Full Text: DOI
Omari, Pierpaolo; De Coster, Colette; Corsato, Chiara Radially symmetric solutions of an anisotropic mean curvature equation modeling the corneal shape. (English) Zbl 1336.35175 Discrete Contin. Dyn. Syst. 2015, Suppl., 297-303 (2015). MSC: 35J93 35J25 35B07 35B09 35A09 35A02 35A24 34A12 PDF BibTeX XML Cite \textit{P. Omari} et al., Discrete Contin. Dyn. Syst. 2015, 297--303 (2015; Zbl 1336.35175) Full Text: DOI
Płociniczak, Ł.; Okrasiński, W. Nonlinear parameter identification in a corneal geometry model. (English) Zbl 1326.65153 Inverse Probl. Sci. Eng. 23, No. 3, 443-456 (2015). MSC: 65N21 35R30 92C30 PDF BibTeX XML Cite \textit{Ł. Płociniczak} and \textit{W. Okrasiński}, Inverse Probl. Sci. Eng. 23, No. 3, 443--456 (2015; Zbl 1326.65153) Full Text: DOI
Pan, Hongjing; Xing, Ruixiang Applications of total positivity theory to 1D prescribed curvature problems. (English) Zbl 1326.34037 J. Math. Anal. Appl. 428, No. 1, 113-144 (2015). MSC: 34B08 34C23 PDF BibTeX XML Cite \textit{H. Pan} and \textit{R. Xing}, J. Math. Anal. Appl. 428, No. 1, 113--144 (2015; Zbl 1326.34037) Full Text: DOI
Płociniczak, Łukasz; Okrasiński, Wojciech; Nieto, Juan J.; Domínguez, Oscar On a nonlinear boundary value problem modeling corneal shape. (English) Zbl 1307.92129 J. Math. Anal. Appl. 414, No. 1, 461-471 (2014). MSC: 92C50 34A12 34D10 PDF BibTeX XML Cite \textit{Ł. Płociniczak} et al., J. Math. Anal. Appl. 414, No. 1, 461--471 (2014; Zbl 1307.92129) Full Text: DOI
Feng, Meiqiang; Zhang, Xuemei Time-map analysis to establish the exact number of positive solutions of one-dimensional prescribed mean curvature equations. (English) Zbl 1307.34049 Bound. Value Probl. 2014, Paper No. 193, 16 p. (2014). MSC: 34B18 34B15 34B09 PDF BibTeX XML Cite \textit{M. Feng} and \textit{X. Zhang}, Bound. Value Probl. 2014, Paper No. 193, 16 p. (2014; Zbl 1307.34049) Full Text: DOI
Coelho, Isabel; Corsato, Chiara; Omari, Pierpaolo A one-dimensional prescribed curvature equation modeling the corneal shape. (English) Zbl 1307.34043 Bound. Value Probl. 2014, Paper No. 127, 19 p. (2014). MSC: 34B15 34B08 34A45 47N20 PDF BibTeX XML Cite \textit{I. Coelho} et al., Bound. Value Probl. 2014, Paper No. 127, 19 p. (2014; Zbl 1307.34043) Full Text: DOI
Okrasiński, Wojciech; Płociniczak, Łukasz Bessel function model of corneal topography. (English) Zbl 1329.92058 Appl. Math. Comput. 223, 436-443 (2013). MSC: 92C50 PDF BibTeX XML Cite \textit{W. Okrasiński} and \textit{Ł. Płociniczak}, Appl. Math. Comput. 223, 436--443 (2013; Zbl 1329.92058) Full Text: DOI
He, Ji-Huan Asymptotic methods for solitary solutions and compactons. (English) Zbl 1257.35158 Abstr. Appl. Anal. 2012, Article ID 916793, 130 p. (2012). MSC: 35Q51 35C08 35R11 35-01 PDF BibTeX XML Cite \textit{J.-H. He}, Abstr. Appl. Anal. 2012, Article ID 916793, 130 p. (2012; Zbl 1257.35158) Full Text: DOI
He, Ji-Huan A remark on “A nonlinear mathematical model of the corneal shape”. (English) Zbl 1257.34010 Nonlinear Anal., Real World Appl. 13, No. 6, 2863-2865 (2012). MSC: 34A45 34B60 34A25 92C05 PDF BibTeX XML Cite \textit{J.-H. He}, Nonlinear Anal., Real World Appl. 13, No. 6, 2863--2865 (2012; Zbl 1257.34010) Full Text: DOI
Zhang, Xuemei; Feng, Meiqiang Exact number of solutions of a one-dimensional prescribed mean curvature equation with concave-convex nonlinearities. (English) Zbl 1250.34020 J. Math. Anal. Appl. 395, No. 1, 393-402 (2012). MSC: 34B18 34B15 PDF BibTeX XML Cite \textit{X. Zhang} and \textit{M. Feng}, J. Math. Anal. Appl. 395, No. 1, 393--402 (2012; Zbl 1250.34020) Full Text: DOI