López-Gómez, Julián; Omari, Pierpaolo Regular versus singular solutions in quasilinear indefinite problems with sublinear potentials. (English) Zbl 07739108 J. Differ. Equations 372, 1-54 (2023). MSC: 34B18 34B09 PDFBibTeX XMLCite \textit{J. López-Gómez} and \textit{P. Omari}, J. Differ. Equations 372, 1--54 (2023; Zbl 07739108) Full Text: DOI arXiv
López-Gómez, Julián; Omari, Pierpaolo Branches of positive solutions of a superlinear indefinite problem driven by the one-dimensional curvature operator. (English) Zbl 1493.34057 Appl. Math. Lett. 126, Article ID 107807, 10 p. (2022). Reviewer: Rui Yang (Changsha) MSC: 34B09 34B18 47N20 PDFBibTeX XMLCite \textit{J. López-Gómez} and \textit{P. Omari}, Appl. Math. Lett. 126, Article ID 107807, 10 p. (2022; Zbl 1493.34057) Full Text: DOI
Omari, Pierpaolo; Sovrano, Elisa Positive solutions of superlinear indefinite prescribed mean curvature problems. (English) Zbl 1464.35128 Commun. Contemp. Math. 23, No. 3, Article ID 2050017, 25 p. (2021). Reviewer: Denise Huet (Nancy) MSC: 35J62 35J93 35J25 35B09 PDFBibTeX XMLCite \textit{P. Omari} and \textit{E. Sovrano}, Commun. Contemp. Math. 23, No. 3, Article ID 2050017, 25 p. (2021; Zbl 1464.35128) Full Text: DOI
López-Gómez, Julián; Omari, Pierpaolo Regular versus singular solutions in a quasilinear indefinite problem with an asymptotically linear potential. (English) Zbl 1515.34030 Adv. Nonlinear Stud. 20, No. 3, 557-578 (2020). MSC: 34B09 34C23 34B18 PDFBibTeX XMLCite \textit{J. López-Gómez} and \textit{P. Omari}, Adv. Nonlinear Stud. 20, No. 3, 557--578 (2020; Zbl 1515.34030) Full Text: DOI Link
López-Gómez, Julián; Omari, Pierpaolo Characterizing the formation of singularities in a superlinear indefinite problem related to the mean curvature operator. (English) Zbl 1437.35415 J. Differ. Equations 269, No. 2, 1544-1570 (2020). MSC: 35J93 35J25 35B09 PDFBibTeX XMLCite \textit{J. López-Gómez} and \textit{P. Omari}, J. Differ. Equations 269, No. 2, 1544--1570 (2020; Zbl 1437.35415) Full Text: DOI
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 PDFBibTeX XMLCite \textit{A. Soranzo} et al., Discrete Contin. Dyn. Syst., Ser. S 11, No. 2, 213--256 (2018; Zbl 1374.35187) Full Text: DOI
López-Gómez, Julián; Omari, Pierpaolo; Rivetti, Sabrina Bifurcation of positive solutions for a one-dimensional indefinite quasilinear Neumann problem. (English) Zbl 1419.34101 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 155, 1-51 (2017). MSC: 34B18 34B15 34B09 34C23 47N20 PDFBibTeX XMLCite \textit{J. López-Gómez} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 155, 1--51 (2017; Zbl 1419.34101) Full Text: DOI
López-Gómez, Julián; Omari, Pierpaolo; Rivetti, Sabrina Positive solutions of a one-dimensional indefinite capillarity-type problem: a variational approach. (English) Zbl 1362.34042 J. Differ. Equations 262, No. 3, 2335-2392 (2017). Reviewer: Giovanni Anello (Messina) MSC: 34B18 34B15 49Q20 53A10 76D45 PDFBibTeX XMLCite \textit{J. López-Gómez} et al., J. Differ. Equations 262, No. 3, 2335--2392 (2017; Zbl 1362.34042) 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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{P. Omari} et al., Discrete Contin. Dyn. Syst. 2015, 297--303 (2015; Zbl 1336.35175) Full Text: DOI
Corsato, Chiara; Obersnel, Franco; Omari, Pierpaolo; Rivetti, Sabrina Positive solutions of the Dirichlet problem for the prescribed mean curvature equation in Minkowski space. (English) Zbl 1310.35140 J. Math. Anal. Appl. 405, No. 1, 227-239 (2013). MSC: 35J93 35B09 PDFBibTeX XMLCite \textit{C. Corsato} et al., J. Math. Anal. Appl. 405, No. 1, 227--239 (2013; Zbl 1310.35140) Full Text: DOI
Coelho, Isabel; Corsato, Chiara; Obersnel, Franco; Omari, Pierpaolo Positive solutions of the Dirichlet problem for the one-dimensional Minkowski-curvature equation. (English) Zbl 1263.34028 Adv. Nonlinear Stud. 12, No. 3, 621-638 (2012). Reviewer: Smail Djebali (Algiers) MSC: 34B18 34B15 34C23 47J30 47N20 PDFBibTeX XMLCite \textit{I. Coelho} et al., Adv. Nonlinear Stud. 12, No. 3, 621--638 (2012; Zbl 1263.34028) Full Text: DOI Link
Obersnel, Franco; Omari, Pierpaolo On a result of C. V. Coffman and W. K. Ziemer about the prescribed mean curvature equation. (English) Zbl 1306.35050 Discrete Contin. Dyn. Syst. 2011, Suppl., 1138-1147 (2011). MSC: 35J93 35J20 35J25 35J60 35A01 35B09 PDFBibTeX XMLCite \textit{F. Obersnel} and \textit{P. Omari}, Discrete Contin. Dyn. Syst. 2011, 1138--1147 (2011; Zbl 1306.35050) Full Text: Link
Obersnel, Franco; Omari, Pierpaolo Positive solutions of the Dirichlet problem for the prescribed mean curvature equation. (English) Zbl 1207.35145 J. Differ. Equations 249, No. 7, 1674-1725 (2010). Reviewer: John Urbas (Canberra) MSC: 35J60 35J25 35J20 35J93 53A10 49Q20 35B09 PDFBibTeX XMLCite \textit{F. Obersnel} and \textit{P. Omari}, J. Differ. Equations 249, No. 7, 1674--1725 (2010; Zbl 1207.35145) Full Text: DOI
Habets, Patrick; Omari, Pierpaolo Multiple positive solutions of a one-dimensional prescribed mean curvature problem. (English) Zbl 1153.34015 Commun. Contemp. Math. 9, No. 5, 701-730 (2007). Reviewer: Wei Nian Li (Binzhou) MSC: 34B18 34B15 34A34 PDFBibTeX XMLCite \textit{P. Habets} and \textit{P. Omari}, Commun. Contemp. Math. 9, No. 5, 701--730 (2007; Zbl 1153.34015) Full Text: DOI
Bonheure, Denis; Habets, Patrick; Obersnel, Franco; Omari, Pierpaolo Classical and non-classical solutions of a prescribed curvature equation. (English) Zbl 1136.34023 J. Differ. Equations 243, No. 2, 208-237 (2007). Reviewer: Marek Galewski (Łódź) MSC: 34B18 34B15 47J30 53A10 PDFBibTeX XMLCite \textit{D. Bonheure} et al., J. Differ. Equations 243, No. 2, 208--237 (2007; Zbl 1136.34023) Full Text: DOI
Obersnel, Franco; Omari, Pierpaolo Positive solutions of elliptic problems with locally oscillating nonlinearities. (English) Zbl 1293.35120 J. Math. Anal. Appl. 323, No. 2, 913-929 (2006). MSC: 35J61 35B09 35J25 47J30 PDFBibTeX XMLCite \textit{F. Obersnel} and \textit{P. Omari}, J. Math. Anal. Appl. 323, No. 2, 913--929 (2006; Zbl 1293.35120) Full Text: DOI
Habets, Patrick; Omari, Pierpaolo Positive solutions of an indefinite prescribed mean curvature problem on a general domain. (English) Zbl 1137.35035 Adv. Nonlinear Stud. 4, No. 1, 1-13 (2004). Reviewer: Pierpaolo Omari (Trieste) MSC: 35J65 53A10 53C42 35J25 35J60 PDFBibTeX XMLCite \textit{P. Habets} and \textit{P. Omari}, Adv. Nonlinear Stud. 4, No. 1, 1--13 (2004; Zbl 1137.35035) Full Text: DOI