Edit Profile (opens in new tab) Omari, Pierpaolo Co-Author Distance Author ID: omari.pierpaolo Published as: Omari, Pierpaolo; Omari, P. Homepage: http://www.dmi.units.it/~omari/ External Links: MGP Documents Indexed: 101 Publications since 1983 Reviewing Activity: 54 Reviews Co-Authors: 26 Co-Authors with 94 Joint Publications 346 Co-Co-Authors all top 5 Co-Authors 7 single-authored 25 Obersnel, Franco 21 Zanolin, Fabio 11 Corsato, Chiara 8 Gossez, Jean-Pierre 8 Habets, Patrick 8 López-Gómez, Julián 6 De Coster, Colette 6 Moret, Igor 6 Rivetti, Sabrina 4 do Rosário Grossinho, Maria 4 Villari, Gabriele 3 Bonheure, Denis 3 Njoku, Franic Ikechukwu 3 Trombetta, Maurizio 2 Coelho, Isabel 2 Sovrano, Elisa 2 Ye, Weiyin 1 Afuwape, Anthony Uyi 1 Alif, Mohssine 1 Cuesta, Mabel 1 Del Santo, Daniele 1 Fernandes, M. Lourdes C. 1 Flora, Noemi 1 Iannacci, Rita 1 Nkashama, Mubenga N. 1 Soranzo, Alessandro all top 5 Serials 10 Journal of Differential Equations 5 Journal of Mathematical Analysis and Applications 5 Discrete and Continuous Dynamical Systems 5 Advanced Nonlinear Studies 5 Nonlinear Analysis. Theory, Methods & Applications 4 Applied Mathematics and Computation 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Differential and Integral Equations 4 Communications in Contemporary Mathematics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Proceedings of the American Mathematical Society 2 Journal of Functional Analysis 2 Applied Mathematics Letters 2 Communications in Partial Differential Equations 2 Bollettino della Unione Matemàtica Italiana. Serie VI. B 2 Electronic Journal of Differential Equations (EJDE) 2 Rapport. Séminaire de Mathématique. Nouvelle Série 2 Nonlinear Analysis. Real World Applications 1 IMA Journal of Numerical Analysis 1 Rocky Mountain Journal of Mathematics 1 Archiv der Mathematik 1 Funkcialaj Ekvacioj. Serio Internacia 1 Journal of Computational and Applied Mathematics 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Numerische Mathematik 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Rendiconti del Seminario Matematico della Università di Padova 1 Results in Mathematics 1 Transactions of the American Mathematical Society 1 Rivista di Matemàtica Pura ed Applicata 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 The Journal of Geometric Analysis 1 Atti del Seminario Matematico e Fisico dell’Università di Modena 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Acta Mathematica Sinica. New Series 1 Bollettino della Unione Matemàtica Italiana. Serie VII. A 1 Topological Methods in Nonlinear Analysis 1 Georgian Mathematical Journal 1 Advances in Differential Equations 1 Differential Equations and Dynamical Systems 1 Electronic Journal of Qualitative Theory of Differential Equations 1 Boundary Value Problems 1 Discrete and Continuous Dynamical Systems. Series S 1 Open Mathematics all top 5 Fields 57 Ordinary differential equations (34-XX) 42 Partial differential equations (35-XX) 15 Operator theory (47-XX) 9 Numerical analysis (65-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Differential geometry (53-XX) 4 Integral equations (45-XX) 3 Fluid mechanics (76-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Real functions (26-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 93 Publications have been cited 1,199 times in 607 Documents Cited by ▼ Year ▼ Classical and non-classical solutions of a prescribed curvature equation. Zbl 1136.34023 Bonheure, Denis; Habets, Patrick; Obersnel, Franco; Omari, Pierpaolo 82 2007 Positive solutions of the Dirichlet problem for the one-dimensional Minkowski-curvature equation. Zbl 1263.34028 Coelho, Isabel; Corsato, Chiara; Obersnel, Franco; Omari, Pierpaolo 57 2012 Positive solutions of the Dirichlet problem for the prescribed mean curvature equation. Zbl 1207.35145 Obersnel, Franco; Omari, Pierpaolo 54 2010 Positive solutions of the Dirichlet problem for the prescribed mean curvature equation in Minkowski space. Zbl 1310.35140 Corsato, Chiara; Obersnel, Franco; Omari, Pierpaolo; Rivetti, Sabrina 52 2013 Multiple positive solutions of a one-dimensional prescribed mean curvature problem. Zbl 1153.34015 Habets, Patrick; Omari, Pierpaolo 50 2007 Infinitely many solutions of a quasilinear elliptic problem with an oscillatory potential. Zbl 0856.35046 Omari, Pierpaolo; Zanolin, Fabio 43 1996 Remarks on the lower and upper solutions method for second- and third- order periodic boundary value problems. Zbl 0760.65078 Omari, Pierpaolo; Trombetta, Maurizio 42 1992 Periodic solutions of the Liénard equation with one-sided growth restrictions. Zbl 0615.34037 Omari, Pierpaolo; Villari, Gabriele; Zanolin, Fabio 41 1987 Classical and non-classical positive solutions of a prescribed curvature equation with singularities. Zbl 1160.34015 Bonheure, D.; Habets, P.; Obersnel, F.; Omari, P. 35 2007 Periodic solutions of a second order ordinary differential equation: A necessary and sufficient condition for nonresonance. Zbl 0743.34045 Gossez, Jean-Pierre; Omari, Pierpaolo 33 1991 Nonlinear perturbations of differential operators with nontrivial kernel and applications to third-order periodic boundary value problems. Zbl 0695.47044 Afuwape, Anthony Uyi; Omari, Pierpaolo; Zanolin, Fabio 27 1989 Positive solutions of an indefinite prescribed mean curvature problem on a general domain. Zbl 1137.35035 Habets, Patrick; Omari, Pierpaolo 26 2004 Existence and multiplicity results for the prescribed mean curvature equation via lower and upper solutions. Zbl 1240.35131 Obersnel, Franco; Omari, Pierpaolo 25 2009 Positive solutions of elliptic problems with locally oscillating nonlinearities. Zbl 1293.35120 Obersnel, Franco; Omari, Pierpaolo 21 2006 Positive solutions of a one-dimensional indefinite capillarity-type problem: a variational approach. Zbl 1362.34042 López-Gómez, Julián; Omari, Pierpaolo; Rivetti, Sabrina 20 2017 The Dirichlet problem for a prescribed anisotropic mean curvature equation: existence, uniqueness and regularity of solutions. Zbl 1335.35083 Corsato, Chiara; De Coster, Colette; Omari, Pierpaolo 19 2016 Bifurcation of positive solutions for a one-dimensional indefinite quasilinear Neumann problem. Zbl 1419.34101 López-Gómez, Julián; Omari, Pierpaolo; Rivetti, Sabrina 19 2017 On forced nonlinear oscillations in \(n\)th order differential systems with geometric conditions. Zbl 0542.34037 Omari, Pierpaolo; Zanolin, Fabio 18 1984 Existence and localization of solutions of second order elliptic problems using lower and upper solutions in the reversed order. Zbl 0897.35030 Habets, Patrick; Omari, Pierpaolo 18 1996 Existence, regularity and stability properties of periodic solutions of a capillarity equation in the presence of lower and upper solutions. Zbl 1279.34054 Obersnel, Franco; Omari, Pierpaolo; Rivetti, Sabrina 18 2012 On the lower and upper solution method for the prescribed mean curvature equation in Minkowski space. Zbl 1305.35083 Corsato, Chiara; Obersnel, Franco; Omari, Pierpaolo; Rivetti, Sabrina 16 2013 A note on nonlinear oscillations at resonance. Zbl 0648.34040 Omari, Pierpaolo; Zanolin, Fabio 15 1987 Unstable periodic solutions of a parabolic problem in the presence of non-well-ordered lower and upper solutions. Zbl 0959.35096 De Coster, Colette; Omari, Pierpaolo 15 2000 Stability properties of periodic solutions of a Duffing equation in the presence of lower and upper solutions. Zbl 1034.34060 Njoku, Franic Ikechukwu; Omari, Pierpaolo 14 2003 Characterizing the formation of singularities in a superlinear indefinite problem related to the mean curvature operator. Zbl 1437.35415 López-Gómez, Julián; Omari, Pierpaolo 14 2020 Existence, regularity and boundary behaviour of bounded variation solutions of a one-dimensional capillarity equation. Zbl 1275.34033 Obersnel, Franco; Omari, Pierpaolo 14 2013 On the solvability of a semilinear two-point BVP around the first eigenvalue. Zbl 0715.34037 Fernandes, M. L. C.; Omari, P.; Zanolin, F. 13 1989 Nonresonance with respect to the Fučík spectrum for periodic solutions of second order ordinary differential equations. Zbl 0724.34048 Gossez, Jean-Pierre; Omari, Pierpaolo 13 1990 Global components of positive bounded variation solutions of a one-dimensional indefinite quasilinear Neumann problem. Zbl 1425.35068 López-Gómez, Julian; Omari, Pierpaolo 13 2019 Multiple bounded variation solutions of a periodically perturbed sine-curvature equation. Zbl 1234.34020 Obersnel, Franco; Omari, Pierpaolo 12 2011 An elliptic problem with arbitrarily small positive solutions. Zbl 0959.35059 Omari, Pierpaolo; Zanolin, Fabio 12 2000 A necessary and sufficient condition of nonresonance for a semilinear Neumann problem. Zbl 0755.35041 Gossez, J. P.; Omari, P. 12 1992 Nonresonance conditions on the potential with respect to the Fučik spectrum for the periodic boundary value problem. Zbl 0852.34040 Habets, Patrick; Omari, Pierpaolo; Zanolin, Fabio 11 1995 Old and new results for first order periodic ODEs without uniqueness: A comprehensive study by lower and upper solutions. Zbl 1072.34041 Obersnel, Franco; Omari, Pierpaolo 11 2004 Non-ordered lower and upper solutions in semilinear elliptic problems. Zbl 0814.35019 Gossez, J.-P.; Omari, P. 11 1994 Heteroclinic solutions of the prescribed curvature equation with a double-well potential. Zbl 1313.34132 Bonheure, Denis; Obersnel, Franco; Omari, Pierpaolo 11 2013 Subharmonic solutions of the prescribed curvature equation. Zbl 1341.34046 Corsato, Chiara; Omari, Pierpaolo; Zanolin, Fabio 11 2016 On the existence of periodic solutions of forced Liénard differential equations. Zbl 0644.34030 Omari, Pierpaolo; Zanolin, Fabio 10 1987 Periodic solutions of forced Liénard equations with jumping nonlinearities under nonuniform conditions. Zbl 0693.34046 Iannacci, R.; Nkashama, M. N.; Omari, P.; Zanolin, F. 10 1988 Asymmetric Poincaré inequalities and solvability of capillarity problems. Zbl 1328.46033 Obersnel, Franco; Omari, Pierpaolo; Rivetti, Sabrina 10 2014 The Dirichlet problem for gradient dependent prescribed mean curvature equations in the Lorentz-Minkowski space. Zbl 1360.35079 Corsato, Chiara; Obersnel, Franco; Omari, Pierpaolo 10 2017 Qualitative analysis of a curvature equation modelling MEMS with vertical loads. Zbl 1454.35163 Corsato, Chiara; De Coster, Colette; Obersnel, Franco; Omari, Pierpaolo 10 2020 A monotone method for constructing extremal solutions of second order scalar boundary value problems. Zbl 0625.65075 Omari, Pierpaolo 9 1986 On a continuation lemma for the study of a certain planar system with applications to Liénard and Rayleigh equations. Zbl 0661.34034 Omari, Pierpaolo; Villari, Gabriele 9 1988 The periodic problem for curvature-like equations with asymmetric perturbations. Zbl 1241.34051 Obersnel, Franco; Omari, Pierpaolo 9 2011 Existence results for forced nonlinear periodic BVPs at resonance. Zbl 0589.34005 Omari, Pierpaolo; Zanolin, Fabio 9 1985 Nonresonance with respect to the Fučik spectrum for periodic solutions of second order ordinary differential equations. Zbl 0709.34037 Gossez, Jean-Pierre; Omari, Pierpaolo 9 1990 Radially symmetric solutions of an anisotropic mean curvature equation modeling the corneal shape. Zbl 1336.35175 Omari, Pierpaolo; De Coster, Colette; Corsato, Chiara 9 2015 Multiplicity of positive radial solutions of a quasilinear elliptic problem in a ball. Zbl 0989.35055 Njoku, Franic Ikechukwu; Omari, Pierpaolo; Zanolin, Fabio 8 2000 Nonresonance conditions on the potential for a semilinear elliptic problem. Zbl 0798.35051 Del Santo, Daniele; Omari, Pierpaolo 8 1994 Regular versus singular solutions in a quasilinear indefinite problem with an asymptotically linear potential. Zbl 1515.34030 López-Gómez, Julián; Omari, Pierpaolo 8 2020 An iterative variant of the degenerate kernel method for solving Fredholm integral equations. Zbl 0683.65114 Moret, Igor; Omari, Pierpaolo 7 1989 Necessary and sufficient conditions for the existence of periodic solutions of second-order ordinary differential equations with singular nonlinearities. Zbl 0831.34048 Omari, Pierpaolo; Ye, Weiyin 7 1995 On a semilinear elliptic Neumann problem with asymmetric nonlinearities. Zbl 0831.35062 Gossez, J.-P.; Omari, P. 7 1995 Nonresonance conditions on the potential for a second-order periodic boundary value problem. Zbl 0766.34020 Omari, Pierpaolo; Zanolin, Fabio 7 1993 A prescribed anisotropic mean curvature equation modeling the corneal shape: a paradigm of nonlinear analysis. Zbl 1374.35187 Soranzo, Alessandro; Omari, Pierpaolo; Obersnel, Franco; Coster, Colette De; Corsato, Chiara 7 2018 On a \(p\)-Laplace Neumann problem with asymptotically asymmetric perturbations. Zbl 1157.35354 Alif, Mohssine; Omari, Pierpaolo 7 2002 A one-dimensional prescribed curvature equation modeling the corneal shape. Zbl 1307.34043 Coelho, Isabel; Corsato, Chiara; Omari, Pierpaolo 7 2014 Radial solutions of the Dirichlet problem for a class of quasilinear elliptic equations arising in optometry. Zbl 1414.35095 Corsato, Chiara; De Coster, Colette; Flora, Noemi; Omari, Pierpaolo 7 2019 Period two implies chaos for a class of ODEs. Zbl 1124.34335 Obersnel, Franco; Omari, Pierpaolo 6 2007 A quasi-Newton method for solving fixed point problems in Hilbert spaces. Zbl 0726.65064 Moret, Igor; Omari, Pierpaolo 6 1991 Iterative solution of integral equations by a quasi-Newton method. Zbl 0633.65141 Moret, Igor; Omari, Pierpaolo 5 1987 A survey of recent applications of fixed point theory to periodic solutions of the Lienard equation. Zbl 0656.34031 Omari, P.; Villari, G.; Zanolin, F. 5 1988 Periodic solutions of Liénard equations. Zbl 0584.34045 Omari, Pierpaolo; Zanolin, Fabio 5 1984 Revisiting the sub- and super-solution method for the classical radial solutions of the mean curvature equation. Zbl 1480.35227 Obersnel, Franco; Omari, Pierpaolo 5 2020 Positive solutions of indefinite logistic growth models with flux-saturated diffusion. Zbl 1448.35226 Omari, Pierpaolo; Sovrano, Elisa 5 2020 Multiple non-trivial solutions of the Dirichlet problem for the prescribed mean curvature equation. Zbl 1236.35052 Obersnel, Franco; Omari, Pierpaolo 4 2011 A projective Newton method for semilinear operator equations in Banach spaces. Zbl 0712.65052 Moret, Igor; Omari, Pierpaolo 4 1990 Non-ordered lower and upper solutions and solvability of the periodic problem for the Liénard and the Rayleigh equations. Zbl 0719.34078 Omari, Pierpaolo 4 1988 Resonance at two consecutive eigenvalues for semilinear elliptic equations. Zbl 0791.35042 Omari, Pierpaolo; Zanolin, Fabio 4 1993 Remarks on periodic solutions for first order nonlinear differential systems. Zbl 0507.34033 Omari, Pierpaolo; Zanolin, Fabio 3 1983 Periodic solutions of strongly damped Liénard systems with delay. Zbl 0532.34048 Omari, Pierpaolo 3 1983 Nonresonance to the right of the first eigenvalue for the one-dimensional \(p\)-Laplacian. Zbl 0934.34012 Cuesta, Mabel; Gossez, Jean-Pierre; Omari, Pierpaolo 3 1999 On the Ambrosetti-Prodi problem for first order scalar periodic ODEs. Zbl 1229.34062 Obersnel, F.; Omari, P. 3 2005 Singularly perturbed higher order periodic boundary value problems. Zbl 1070.34035 Njoku, Franic Ikechukwu; Omari, Pierpaolo 3 2004 Sharp non-resonance conditions for periodically perturbed Liènard systems. Zbl 0573.34034 Omari, Pierpaolo; Zanolin, Fabio 3 1986 Branches of positive solutions of a superlinear indefinite problem driven by the one-dimensional curvature operator. Zbl 1493.34057 López-Gómez, Julián; Omari, Pierpaolo 3 2022 On the fast convergence of a Galerkin-like method for equations of the second kind. Zbl 0648.47013 Omari, Pierpaolo 2 1989 Solvability of the Dirichlet-periodic problem for a nonlinear parabolic equation under conditions on the potential. Zbl 0991.35046 Grossinho, Maria do Rosário; Omari, Pierpaolo 2 1998 Periodic solutions of a second order ordinary differential equation with an effective damping. Zbl 0830.34035 Omari, Pierpaolo; Ye, Weiyin 2 1995 A note on periodic solutions for a second order ordinary differential equation. Zbl 0742.34040 Gossez, Jean-Pierre; Omari, Pierpaolo 2 1991 Multiple bounded variation solutions of a capillarity problem. Zbl 1306.35049 Obersnel, Franco; Omari, Pierpaolo 2 2011 On a result of C. V. Coffman and W. K. Ziemer about the prescribed mean curvature equation. Zbl 1306.35050 Obersnel, Franco; Omari, Pierpaolo 2 2011 Optimal regularity results for the one-dimensional prescribed curvature equation via the strong maximum principle. Zbl 1501.35240 López-Gómez, Julián; Omari, Pierpaolo 2 2023 Existence of stable periodic solutions of a semilinear parabolic problem under Hammerstein-type conditions. Zbl 0954.35019 Grossinho, Maria do Rosário; Omari, Pierpaolo 1 1999 Existence and localization of solutions of second order elliptic problems using lower and upper solutions in the reversed order. Zbl 0849.35032 Habets, P.; Omari, P. 1 1994 Boundary value problems for forced nonlinear equations at resonance. Zbl 0573.34010 Omari, Pierpaolo; Zanolin, Fabio 1 1985 A multiplicity result for a class of quasilinear elliptic and parabolic problems. Zbl 0886.35059 do Rosário Grossinho, Maria; Omari, Pierpaolo 1 1997 Periodic solutions of the Rayleigh equation with damping of definite sign. Zbl 0696.34030 Omari, Pierpaolo; Villari, Gabriele 1 1990 A quasi-Newton method for solving fixed point problems in Hilbert spaces. Zbl 0712.65051 Moret, Igor; Omari, Pierpaolo 1 1991 A Krylov subspace method for nonlinear operator equations. Zbl 0776.47040 Moret, Igor; Omari, Pierpaolo 1 1992 On the periodic Ambrosetti-Prodi problem for a class of ODEs with nonlinearities indefinite in sign. Zbl 1453.34062 Obersnel, Franco; Omari, Pierpaolo 1 2021 Positive solutions of superlinear indefinite prescribed mean curvature problems. Zbl 1464.35128 Omari, Pierpaolo; Sovrano, Elisa 1 2021 Optimal regularity results for the one-dimensional prescribed curvature equation via the strong maximum principle. Zbl 1501.35240 López-Gómez, Julián; Omari, Pierpaolo 2 2023 Branches of positive solutions of a superlinear indefinite problem driven by the one-dimensional curvature operator. Zbl 1493.34057 López-Gómez, Julián; Omari, Pierpaolo 3 2022 On the periodic Ambrosetti-Prodi problem for a class of ODEs with nonlinearities indefinite in sign. Zbl 1453.34062 Obersnel, Franco; Omari, Pierpaolo 1 2021 Positive solutions of superlinear indefinite prescribed mean curvature problems. Zbl 1464.35128 Omari, Pierpaolo; Sovrano, Elisa 1 2021 Characterizing the formation of singularities in a superlinear indefinite problem related to the mean curvature operator. Zbl 1437.35415 López-Gómez, Julián; Omari, Pierpaolo 14 2020 Qualitative analysis of a curvature equation modelling MEMS with vertical loads. Zbl 1454.35163 Corsato, Chiara; De Coster, Colette; Obersnel, Franco; Omari, Pierpaolo 10 2020 Regular versus singular solutions in a quasilinear indefinite problem with an asymptotically linear potential. Zbl 1515.34030 López-Gómez, Julián; Omari, Pierpaolo 8 2020 Revisiting the sub- and super-solution method for the classical radial solutions of the mean curvature equation. Zbl 1480.35227 Obersnel, Franco; Omari, Pierpaolo 5 2020 Positive solutions of indefinite logistic growth models with flux-saturated diffusion. Zbl 1448.35226 Omari, Pierpaolo; Sovrano, Elisa 5 2020 Global components of positive bounded variation solutions of a one-dimensional indefinite quasilinear Neumann problem. Zbl 1425.35068 López-Gómez, Julian; Omari, Pierpaolo 13 2019 Radial solutions of the Dirichlet problem for a class of quasilinear elliptic equations arising in optometry. Zbl 1414.35095 Corsato, Chiara; De Coster, Colette; Flora, Noemi; Omari, Pierpaolo 7 2019 A prescribed anisotropic mean curvature equation modeling the corneal shape: a paradigm of nonlinear analysis. Zbl 1374.35187 Soranzo, Alessandro; Omari, Pierpaolo; Obersnel, Franco; Coster, Colette De; Corsato, Chiara 7 2018 Positive solutions of a one-dimensional indefinite capillarity-type problem: a variational approach. Zbl 1362.34042 López-Gómez, Julián; Omari, Pierpaolo; Rivetti, Sabrina 20 2017 Bifurcation of positive solutions for a one-dimensional indefinite quasilinear Neumann problem. Zbl 1419.34101 López-Gómez, Julián; Omari, Pierpaolo; Rivetti, Sabrina 19 2017 The Dirichlet problem for gradient dependent prescribed mean curvature equations in the Lorentz-Minkowski space. Zbl 1360.35079 Corsato, Chiara; Obersnel, Franco; Omari, Pierpaolo 10 2017 The Dirichlet problem for a prescribed anisotropic mean curvature equation: existence, uniqueness and regularity of solutions. Zbl 1335.35083 Corsato, Chiara; De Coster, Colette; Omari, Pierpaolo 19 2016 Subharmonic solutions of the prescribed curvature equation. Zbl 1341.34046 Corsato, Chiara; Omari, Pierpaolo; Zanolin, Fabio 11 2016 Radially symmetric solutions of an anisotropic mean curvature equation modeling the corneal shape. Zbl 1336.35175 Omari, Pierpaolo; De Coster, Colette; Corsato, Chiara 9 2015 Asymmetric Poincaré inequalities and solvability of capillarity problems. Zbl 1328.46033 Obersnel, Franco; Omari, Pierpaolo; Rivetti, Sabrina 10 2014 A one-dimensional prescribed curvature equation modeling the corneal shape. Zbl 1307.34043 Coelho, Isabel; Corsato, Chiara; Omari, Pierpaolo 7 2014 Positive solutions of the Dirichlet problem for the prescribed mean curvature equation in Minkowski space. Zbl 1310.35140 Corsato, Chiara; Obersnel, Franco; Omari, Pierpaolo; Rivetti, Sabrina 52 2013 On the lower and upper solution method for the prescribed mean curvature equation in Minkowski space. Zbl 1305.35083 Corsato, Chiara; Obersnel, Franco; Omari, Pierpaolo; Rivetti, Sabrina 16 2013 Existence, regularity and boundary behaviour of bounded variation solutions of a one-dimensional capillarity equation. Zbl 1275.34033 Obersnel, Franco; Omari, Pierpaolo 14 2013 Heteroclinic solutions of the prescribed curvature equation with a double-well potential. Zbl 1313.34132 Bonheure, Denis; Obersnel, Franco; Omari, Pierpaolo 11 2013 Positive solutions of the Dirichlet problem for the one-dimensional Minkowski-curvature equation. Zbl 1263.34028 Coelho, Isabel; Corsato, Chiara; Obersnel, Franco; Omari, Pierpaolo 57 2012 Existence, regularity and stability properties of periodic solutions of a capillarity equation in the presence of lower and upper solutions. Zbl 1279.34054 Obersnel, Franco; Omari, Pierpaolo; Rivetti, Sabrina 18 2012 Multiple bounded variation solutions of a periodically perturbed sine-curvature equation. Zbl 1234.34020 Obersnel, Franco; Omari, Pierpaolo 12 2011 The periodic problem for curvature-like equations with asymmetric perturbations. Zbl 1241.34051 Obersnel, Franco; Omari, Pierpaolo 9 2011 Multiple non-trivial solutions of the Dirichlet problem for the prescribed mean curvature equation. Zbl 1236.35052 Obersnel, Franco; Omari, Pierpaolo 4 2011 Multiple bounded variation solutions of a capillarity problem. Zbl 1306.35049 Obersnel, Franco; Omari, Pierpaolo 2 2011 On a result of C. V. Coffman and W. K. Ziemer about the prescribed mean curvature equation. Zbl 1306.35050 Obersnel, Franco; Omari, Pierpaolo 2 2011 Positive solutions of the Dirichlet problem for the prescribed mean curvature equation. Zbl 1207.35145 Obersnel, Franco; Omari, Pierpaolo 54 2010 Existence and multiplicity results for the prescribed mean curvature equation via lower and upper solutions. Zbl 1240.35131 Obersnel, Franco; Omari, Pierpaolo 25 2009 Classical and non-classical solutions of a prescribed curvature equation. Zbl 1136.34023 Bonheure, Denis; Habets, Patrick; Obersnel, Franco; Omari, Pierpaolo 82 2007 Multiple positive solutions of a one-dimensional prescribed mean curvature problem. Zbl 1153.34015 Habets, Patrick; Omari, Pierpaolo 50 2007 Classical and non-classical positive solutions of a prescribed curvature equation with singularities. Zbl 1160.34015 Bonheure, D.; Habets, P.; Obersnel, F.; Omari, P. 35 2007 Period two implies chaos for a class of ODEs. Zbl 1124.34335 Obersnel, Franco; Omari, Pierpaolo 6 2007 Positive solutions of elliptic problems with locally oscillating nonlinearities. Zbl 1293.35120 Obersnel, Franco; Omari, Pierpaolo 21 2006 On the Ambrosetti-Prodi problem for first order scalar periodic ODEs. Zbl 1229.34062 Obersnel, F.; Omari, P. 3 2005 Positive solutions of an indefinite prescribed mean curvature problem on a general domain. Zbl 1137.35035 Habets, Patrick; Omari, Pierpaolo 26 2004 Old and new results for first order periodic ODEs without uniqueness: A comprehensive study by lower and upper solutions. Zbl 1072.34041 Obersnel, Franco; Omari, Pierpaolo 11 2004 Singularly perturbed higher order periodic boundary value problems. Zbl 1070.34035 Njoku, Franic Ikechukwu; Omari, Pierpaolo 3 2004 Stability properties of periodic solutions of a Duffing equation in the presence of lower and upper solutions. Zbl 1034.34060 Njoku, Franic Ikechukwu; Omari, Pierpaolo 14 2003 On a \(p\)-Laplace Neumann problem with asymptotically asymmetric perturbations. Zbl 1157.35354 Alif, Mohssine; Omari, Pierpaolo 7 2002 Unstable periodic solutions of a parabolic problem in the presence of non-well-ordered lower and upper solutions. Zbl 0959.35096 De Coster, Colette; Omari, Pierpaolo 15 2000 An elliptic problem with arbitrarily small positive solutions. Zbl 0959.35059 Omari, Pierpaolo; Zanolin, Fabio 12 2000 Multiplicity of positive radial solutions of a quasilinear elliptic problem in a ball. Zbl 0989.35055 Njoku, Franic Ikechukwu; Omari, Pierpaolo; Zanolin, Fabio 8 2000 Nonresonance to the right of the first eigenvalue for the one-dimensional \(p\)-Laplacian. Zbl 0934.34012 Cuesta, Mabel; Gossez, Jean-Pierre; Omari, Pierpaolo 3 1999 Existence of stable periodic solutions of a semilinear parabolic problem under Hammerstein-type conditions. Zbl 0954.35019 Grossinho, Maria do Rosário; Omari, Pierpaolo 1 1999 Solvability of the Dirichlet-periodic problem for a nonlinear parabolic equation under conditions on the potential. Zbl 0991.35046 Grossinho, Maria do Rosário; Omari, Pierpaolo 2 1998 A multiplicity result for a class of quasilinear elliptic and parabolic problems. Zbl 0886.35059 do Rosário Grossinho, Maria; Omari, Pierpaolo 1 1997 Infinitely many solutions of a quasilinear elliptic problem with an oscillatory potential. Zbl 0856.35046 Omari, Pierpaolo; Zanolin, Fabio 43 1996 Existence and localization of solutions of second order elliptic problems using lower and upper solutions in the reversed order. Zbl 0897.35030 Habets, Patrick; Omari, Pierpaolo 18 1996 Nonresonance conditions on the potential with respect to the Fučik spectrum for the periodic boundary value problem. Zbl 0852.34040 Habets, Patrick; Omari, Pierpaolo; Zanolin, Fabio 11 1995 Necessary and sufficient conditions for the existence of periodic solutions of second-order ordinary differential equations with singular nonlinearities. Zbl 0831.34048 Omari, Pierpaolo; Ye, Weiyin 7 1995 On a semilinear elliptic Neumann problem with asymmetric nonlinearities. Zbl 0831.35062 Gossez, J.-P.; Omari, P. 7 1995 Periodic solutions of a second order ordinary differential equation with an effective damping. Zbl 0830.34035 Omari, Pierpaolo; Ye, Weiyin 2 1995 Non-ordered lower and upper solutions in semilinear elliptic problems. Zbl 0814.35019 Gossez, J.-P.; Omari, P. 11 1994 Nonresonance conditions on the potential for a semilinear elliptic problem. Zbl 0798.35051 Del Santo, Daniele; Omari, Pierpaolo 8 1994 Existence and localization of solutions of second order elliptic problems using lower and upper solutions in the reversed order. Zbl 0849.35032 Habets, P.; Omari, P. 1 1994 Nonresonance conditions on the potential for a second-order periodic boundary value problem. Zbl 0766.34020 Omari, Pierpaolo; Zanolin, Fabio 7 1993 Resonance at two consecutive eigenvalues for semilinear elliptic equations. Zbl 0791.35042 Omari, Pierpaolo; Zanolin, Fabio 4 1993 Remarks on the lower and upper solutions method for second- and third- order periodic boundary value problems. Zbl 0760.65078 Omari, Pierpaolo; Trombetta, Maurizio 42 1992 A necessary and sufficient condition of nonresonance for a semilinear Neumann problem. Zbl 0755.35041 Gossez, J. P.; Omari, P. 12 1992 A Krylov subspace method for nonlinear operator equations. Zbl 0776.47040 Moret, Igor; Omari, Pierpaolo 1 1992 Periodic solutions of a second order ordinary differential equation: A necessary and sufficient condition for nonresonance. Zbl 0743.34045 Gossez, Jean-Pierre; Omari, Pierpaolo 33 1991 A quasi-Newton method for solving fixed point problems in Hilbert spaces. Zbl 0726.65064 Moret, Igor; Omari, Pierpaolo 6 1991 A note on periodic solutions for a second order ordinary differential equation. Zbl 0742.34040 Gossez, Jean-Pierre; Omari, Pierpaolo 2 1991 A quasi-Newton method for solving fixed point problems in Hilbert spaces. Zbl 0712.65051 Moret, Igor; Omari, Pierpaolo 1 1991 Nonresonance with respect to the Fučík spectrum for periodic solutions of second order ordinary differential equations. Zbl 0724.34048 Gossez, Jean-Pierre; Omari, Pierpaolo 13 1990 Nonresonance with respect to the Fučik spectrum for periodic solutions of second order ordinary differential equations. Zbl 0709.34037 Gossez, Jean-Pierre; Omari, Pierpaolo 9 1990 A projective Newton method for semilinear operator equations in Banach spaces. Zbl 0712.65052 Moret, Igor; Omari, Pierpaolo 4 1990 Periodic solutions of the Rayleigh equation with damping of definite sign. Zbl 0696.34030 Omari, Pierpaolo; Villari, Gabriele 1 1990 Nonlinear perturbations of differential operators with nontrivial kernel and applications to third-order periodic boundary value problems. Zbl 0695.47044 Afuwape, Anthony Uyi; Omari, Pierpaolo; Zanolin, Fabio 27 1989 On the solvability of a semilinear two-point BVP around the first eigenvalue. Zbl 0715.34037 Fernandes, M. L. C.; Omari, P.; Zanolin, F. 13 1989 An iterative variant of the degenerate kernel method for solving Fredholm integral equations. Zbl 0683.65114 Moret, Igor; Omari, Pierpaolo 7 1989 On the fast convergence of a Galerkin-like method for equations of the second kind. Zbl 0648.47013 Omari, Pierpaolo 2 1989 Periodic solutions of forced Liénard equations with jumping nonlinearities under nonuniform conditions. Zbl 0693.34046 Iannacci, R.; Nkashama, M. N.; Omari, P.; Zanolin, F. 10 1988 On a continuation lemma for the study of a certain planar system with applications to Liénard and Rayleigh equations. Zbl 0661.34034 Omari, Pierpaolo; Villari, Gabriele 9 1988 A survey of recent applications of fixed point theory to periodic solutions of the Lienard equation. Zbl 0656.34031 Omari, P.; Villari, G.; Zanolin, F. 5 1988 Non-ordered lower and upper solutions and solvability of the periodic problem for the Liénard and the Rayleigh equations. Zbl 0719.34078 Omari, Pierpaolo 4 1988 Periodic solutions of the Liénard equation with one-sided growth restrictions. Zbl 0615.34037 Omari, Pierpaolo; Villari, Gabriele; Zanolin, Fabio 41 1987 A note on nonlinear oscillations at resonance. Zbl 0648.34040 Omari, Pierpaolo; Zanolin, Fabio 15 1987 On the existence of periodic solutions of forced Liénard differential equations. Zbl 0644.34030 Omari, Pierpaolo; Zanolin, Fabio 10 1987 Iterative solution of integral equations by a quasi-Newton method. Zbl 0633.65141 Moret, Igor; Omari, Pierpaolo 5 1987 A monotone method for constructing extremal solutions of second order scalar boundary value problems. Zbl 0625.65075 Omari, Pierpaolo 9 1986 Sharp non-resonance conditions for periodically perturbed Liènard systems. Zbl 0573.34034 Omari, Pierpaolo; Zanolin, Fabio 3 1986 Existence results for forced nonlinear periodic BVPs at resonance. Zbl 0589.34005 Omari, Pierpaolo; Zanolin, Fabio 9 1985 Boundary value problems for forced nonlinear equations at resonance. Zbl 0573.34010 Omari, Pierpaolo; Zanolin, Fabio 1 1985 On forced nonlinear oscillations in \(n\)th order differential systems with geometric conditions. Zbl 0542.34037 Omari, Pierpaolo; Zanolin, Fabio 18 1984 Periodic solutions of Liénard equations. Zbl 0584.34045 Omari, Pierpaolo; Zanolin, Fabio 5 1984 Remarks on periodic solutions for first order nonlinear differential systems. Zbl 0507.34033 Omari, Pierpaolo; Zanolin, Fabio 3 1983 Periodic solutions of strongly damped Liénard systems with delay. Zbl 0532.34048 Omari, Pierpaolo 3 1983 all cited Publications top 5 cited Publications all top 5 Cited by 533 Authors 58 Omari, Pierpaolo 36 Zanolin, Fabio 22 Ma, Ruyun 17 Obersnel, Franco 16 Fonda, Alessandro 14 Cabada, Alberto 14 Li, Yongxiang 14 Molica Bisci, Giovanni 13 Jebelean, Petru 13 López-Gómez, Julián 13 Pan, Hongjing 13 Torres, Pedro José 12 Lu, Shiping 12 Mawhin, Jean L. 11 De Coster, Colette 11 Ge, Weigao 11 Wang, Zaihong 10 Corsato, Chiara 10 Feltrin, Guglielmo 10 Gossez, Jean-Pierre 10 Pei, Minghe 10 Xing, Ruixiang 9 He, Zhiqian 9 Moret, Igor 9 Sfecci, Andrea 9 Sovrano, Elisa 9 Wang, Libo 8 Boscaggin, Alberto 8 Garrione, Maurizio 8 Rădulescu, Vicenţiu D. 7 Andres, Jan 7 Bereanu, Cristian 7 Bonanno, Gabriele 7 Bonheure, Denis 7 Habets, Patrick 7 Lee, Yong-Hoon Lee 7 Precup, Radu 7 Xu, Man 7 Yang, Rui 6 Allalou, Chakir 6 Alves, Claudianor Oliveira 6 Cid, José Ángel 6 El Ouaarabi, Mohamed 6 Kristály, Alexandru 6 López Camino, Rafael 6 Melliani, Said 6 Miao, Liangying 6 O’Regan, Donal 6 Qian, Dingbian 6 Serban, Calin-Constantin 6 Zhou, Zhan 5 Dai, Guowei 5 Feng, Meiqiang 5 Huang, Shaoyuan 5 Hung, Kuo-Chih 5 Kong, Fanchao 5 Lu, Yanqiong 5 Ma, Tiantian 5 Papageorgiou, Nikolaos S. 5 Rivetti, Sabrina 5 Romero, Alfonso 5 Villari, Gabriele 4 Afrouzi, Ghasem Alizadeh 4 Afuwape, Anthony Uyi 4 Cheng, Yan-Hsiou 4 do Rosário Grossinho, Maria 4 Klun, Giuliano 4 Nkashama, Mubenga N. 4 Sanchez, Luís 4 Sim, Inbo 4 Su, Xiaoxiao 4 Toader, Rodica 4 Verma, Amit Kumar 4 Wang, Youyu 4 Xu, Xian 4 Zhang, Xuemei 3 Agarwal, Ravi P. 3 Capietto, Anna 3 Coelho, Isabel 3 Cuesta, Mabel 3 de Araujo, Anderson Luis Albuquerque 3 de la Fuente, Daniel 3 Deng, Jiqin 3 Fabry, Christian 3 Gao, Hongliang 3 Gurban, Daniela 3 Heikkilä, Seppo V. 3 Iannacci, Rita 3 Kiguradze, Ivan Tarielovich 3 Le, Vy Khoi 3 Li, Jin 3 Liang, Zaitao 3 Ling, Jiaoxiu 3 Liu, Wenbin 3 Lois, Susana 3 Manasevich, Raul F. 3 da Silva Montenegro, Marcelo 3 Njoku, Franic Ikechukwu 3 Rachůnková, Irena 3 Shen, Tengfei ...and 433 more Authors all top 5 Cited in 152 Serials 63 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 52 Journal of Mathematical Analysis and Applications 42 Journal of Differential Equations 29 Boundary Value Problems 17 Advanced Nonlinear Studies 17 Nonlinear Analysis. Theory, Methods & Applications 15 Applied Mathematics and Computation 15 Advances in Difference Equations 13 Applied Mathematics Letters 12 Proceedings of the American Mathematical Society 12 Journal of Fixed Point Theory and Applications 11 Communications in Contemporary Mathematics 9 Computers & Mathematics with Applications 8 Annali di Matematica Pura ed Applicata. Serie Quarta 8 NoDEA. Nonlinear Differential Equations and Applications 8 Nonlinear Analysis. Real World Applications 7 Mathematical Methods in the Applied Sciences 7 Open Mathematics 6 Czechoslovak Mathematical Journal 6 Journal of Computational and Applied Mathematics 6 Journal of Functional Analysis 6 Discrete and Continuous Dynamical Systems 6 Abstract and Applied Analysis 6 Mediterranean Journal of Mathematics 5 Transactions of the American Mathematical Society 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 Acta Mathematica Sinica. English Series 5 Discrete and Continuous Dynamical Systems. Series S 4 Rocky Mountain Journal of Mathematics 4 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 4 Archiv der Mathematik 4 Monatshefte für Mathematik 4 Physica D 4 International Journal of Computer Mathematics 4 Applied Mathematics. Series B (English Edition) 4 Discrete Dynamics in Nature and Society 4 Communications on Pure and Applied Analysis 4 Journal of Applied Mathematics and Computing 4 Advances in Nonlinear Analysis 3 Applicable Analysis 3 Nonlinearity 3 Numerical Functional Analysis and Optimization 3 Results in Mathematics 3 Acta Mathematicae Applicatae Sinica. English Series 3 Mathematical and Computer Modelling 3 Journal of Integral Equations and Applications 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Calculus of Variations and Partial Differential Equations 3 Communications in Nonlinear Science and Numerical Simulation 3 Qualitative Theory of Dynamical Systems 3 AIMS Mathematics 2 Computing 2 Mathematische Nachrichten 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 2 Acta Applicandae Mathematicae 2 Annals of Global Analysis and Geometry 2 Asymptotic Analysis 2 The Journal of Geometric Analysis 2 Linear Algebra and its Applications 2 Topological Methods in Nonlinear Analysis 2 Electronic Journal of Differential Equations (EJDE) 2 Mathematical Problems in Engineering 2 Journal of Applied Mathematics 2 Portugaliae Mathematica. Nova Série 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Analysis and Applications (Singapore) 2 Boletim da Sociedade Paranaense de Matemática. Terceira Série 2 Fixed Point Theory and Applications 2 São Paulo Journal of Mathematical Sciences 2 International Journal of Differential Equations 2 Journal of Function Spaces 1 Archive for Rational Mechanics and Analysis 1 Bulletin of the Australian Mathematical Society 1 Classical and Quantum Gravity 1 General Relativity and Gravitation 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Ukrainian Mathematical Journal 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Advances in Mathematics 1 Functional Analysis and its Applications 1 Indiana University Mathematics Journal 1 Journal of the London Mathematical Society. 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Series B ...and 52 more Serials all top 5 Cited in 31 Fields 386 Ordinary differential equations (34-XX) 193 Partial differential equations (35-XX) 145 Operator theory (47-XX) 36 Dynamical systems and ergodic theory (37-XX) 31 Global analysis, analysis on manifolds (58-XX) 28 Differential geometry (53-XX) 26 Numerical analysis (65-XX) 22 Difference and functional equations (39-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 9 Integral equations (45-XX) 8 Functional analysis (46-XX) 7 Fluid mechanics (76-XX) 5 Real functions (26-XX) 5 Mechanics of particles and systems (70-XX) 5 Mechanics of deformable solids (74-XX) 4 General topology (54-XX) 4 Optics, electromagnetic theory (78-XX) 4 Biology and other natural sciences (92-XX) 2 Approximations and expansions (41-XX) 2 Quantum theory (81-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Convex and discrete geometry (52-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year