Edit Profile (opens in new tab) Bonheure, Denis Compute Distance To: Compute Author ID: bonheure.denis Published as: Bonheure, Denis; Bonheure, D. External Links: MGP Documents Indexed: 79 Publications since 2001, including 1 Book 1 Contribution as Editor Reviewing Activity: 13 Reviews Co-Authors: 67 Co-Authors with 77 Joint Publications 1,490 Co-Co-Authors all top 5 Co-Authors 3 single-authored 9 Castéras, Jean-baptiste 9 Moreira dos Santos, Ederson 8 Van Schaftingen, Jean 6 Fabry, Christian 5 Habets, Patrick 5 Ramos, Miguel 5 Sanchez, Luís 4 Földes, Juraj 4 Gazzola, Filippo 4 Gomes, José Maria 4 Noris, Benedetta 4 Obersnel, Franco 4 Tavares, Hugo 3 Cingolani, Silvia 3 De Coster, Colette 3 Grumiau, Christopher 3 Nascimento, Robson 3 Nys, Manon 3 Omari, Pierpaolo 3 Serra, Enrico 2 Bouchez, Vincent 2 d’Avenia, Pietro 2 Derlet, Ann 2 Di Cosmo, Jonathan 2 Dolbeault, Jean 2 Esteban, Maria J. 2 Gou, Tianxiang 2 Iacopetti, Alessandro 2 Jeanjean, Louis 2 Laptev, Ari 2 Loss, Michael 2 Mercuri, Carlo 2 Pomponio, Alessio 2 Rossi, Julio Daniel 2 Saldaña, Alberto 2 Tarallo, Massimo 2 Terracini, Susanna 2 Weth, Tobias 1 Ali, Hussein Cheikh 1 Buekenhout, Francis 1 Cid, José Ángel 1 Coelho, Isabel 1 Colasuonno, Francesca 1 Cuesta, Mabel 1 De Valeriola, Sébastien 1 Galdi, Giovanni Paolo 1 Gladiali, Francesca 1 Grossi, Massimo 1 Hamel, François 1 Lami Dozo, Enrique J. 1 Lasiecka, Irena 1 Leemans, Dimitri 1 Mandel, Rainer 1 Parini, Enea 1 Reichel, Wolfgang 1 Román, Carlos 1 Ruiz, David 1 Saintier, Nicolas 1 Secchi, Simone 1 Smets, Didier 1 Sperone, Gianmarco 1 Takáč, Peter 1 Tilli, Paolo 1 Torres, Pedro José 1 Troestler, Christophe 1 Webster, Justin T. 1 Willem, Michel all top 5 Serials 7 Journal of Differential Equations 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 Calculus of Variations and Partial Differential Equations 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Journal of Functional Analysis 3 Transactions of the American Mathematical Society 3 Differential and Integral Equations 2 Communications in Mathematical Physics 2 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 2 IMRN. International Mathematics Research Notices 2 SIAM Journal on Mathematical Analysis 2 Topological Methods in Nonlinear Analysis 2 NoDEA. Nonlinear Differential Equations and Applications 2 Communications in Contemporary Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Archive for Rational Mechanics and Analysis 1 Nonlinearity 1 Reviews in Mathematical Physics 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Journal of Geometry 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Nachrichten 1 Chinese Annals of Mathematics. Series B 1 Revista Matemática Iberoamericana 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Mémoire de la Classe des Sciences. Collection Octavo. 3e Série 1 Advances in Differential Equations 1 Discrete and Continuous Dynamical Systems 1 Portugaliae Mathematica. Nova Série 1 Communications on Pure and Applied Analysis 1 Atti del Seminario Matematico e Fisico dell’ Università di Modena e Reggio Emilia 1 Contemporary Mathematics 1 Journal of Fixed Point Theory and Applications 1 Discrete and Continuous Dynamical Systems. Series S 1 Advances in Calculus of Variations 1 Analysis & PDE all top 5 Fields 59 Partial differential equations (35-XX) 21 Ordinary differential equations (34-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Operator theory (47-XX) 5 Mechanics of particles and systems (70-XX) 5 Optics, electromagnetic theory (78-XX) 4 Quantum theory (81-XX) 3 Functional analysis (46-XX) 3 Differential geometry (53-XX) 3 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 73 Publications have been cited 901 times in 648 Documents Cited by ▼ Year ▼ Classical and non-classical solutions of a prescribed curvature equation. Zbl 1136.34023Bonheure, Denis; Habets, Patrick; Obersnel, Franco; Omari, Pierpaolo 75 2007 Forced singular oscillators and the method of lower and upper solutions. Zbl 1108.34033Bonheure, Denis; De Coster, Colette 38 2003 Bound state solutions for a class of nonlinear Schrödinger equations. Zbl 1156.35084Bonheure, Denis; van Schaftingen, Jean 38 2008 On the electrostatic Born-Infeld equation with extended charges. Zbl 1365.35170Bonheure, Denis; d’Avenia, Pietro; Pomponio, Alessio 37 2016 Groundstates for the nonlinear Schrödinger equation with potential vanishing at infinity. Zbl 1189.35059Bonheure, Denis; Van Schaftingen, Jean 35 2010 Embedding theorems and existence results for nonlinear Schrödinger-Poisson systems with unbounded and vanishing potentials. Zbl 1223.35130Bonheure, Denis; Mercuri, Carlo 33 2011 Classical and non-classical positive solutions of a prescribed curvature equation with singularities. Zbl 1160.34015Bonheure, D.; Habets, P.; Obersnel, F.; Omari, P. 32 2007 Multiple positive solutions of superlinear elliptic problems with sign-changing weight. Zbl 1210.35089Bonheure, Denis; Gomes, José Maria; Habets, Patrick 31 2005 Increasing radial solutions for Neumann problems without growth restrictions. Zbl 1248.35079Bonheure, Denis; Noris, Benedetta; Weth, Tobias 30 2012 Ground state and non-ground state solutions of some strongly coupled elliptic systems. Zbl 1250.35093Bonheure, Denis; Dos Santos, Ederson Moreira; Ramos, Miguel 29 2012 Hamiltonian elliptic systems: a guide to variational frameworks. Zbl 1326.35126Bonheure, D.; dos Santos, Ederson Moreira; Tavares, Hugo 28 2014 Multiple radial positive solutions of semilinear elliptic problems with Neumann boundary conditions. Zbl 1354.35041Bonheure, Denis; Grumiau, Christopher; Troestler, Christophe 26 2016 Periodic solutions of forced isochronous oscillators at resonance. Zbl 1021.34032Bonheure, D.; Fabry, C.; Smets, D. 25 2002 The logarithmic Choquard equation: sharp asymptotics and nondegeneracy of the groundstate. Zbl 1386.35052Bonheure, Denis; Cingolani, Silvia; Van Schaftingen, Jean 22 2017 Normalized solutions to the mixed dispersion nonlinear Schrödinger equation in the mass critical and supercritical regime. Zbl 1420.35343Bonheure, Denis; Casteras, Jean-Baptiste; Gou, Tianxiang; Jeanjean, Louis 20 2019 Periodic motions in impact oscillators with perfectly elastic bounces. Zbl 1019.34044Bonheure, D.; Fabry, C. 18 2002 Multi-layer radial solutions for a supercritical Neumann problem. Zbl 1341.35061Bonheure, Denis; Grossi, Massimo; Noris, Benedetta; Terracini, Susanna 18 2016 Orbitally stable standing waves of a mixed dispersion nonlinear Schrödinger equation. Zbl 1404.35403Bonheure, Denis; Casteras, Jean-Baptiste; dos Santos, Ederson Moreira; Nascimento, Robson 15 2018 Positive solutions of a second-order singular ordinary differential equation. Zbl 1082.34019Bonheure, D.; Gomes, J. M.; Sanchez, L. 14 2005 Heteroclinic connections between nonconsecutive equilibria of a fourth order differential equation. Zbl 1031.34043Bonheure, D.; Sanchez, L.; Tarallo, M.; Terracini, S. 14 2003 Multiple positive radial solutions on annuli for nonlinear Neumann problems with large growth. Zbl 1216.35048Bonheure, Denis; Serra, Enrico 14 2011 Symmetry and symmetry breaking for ground state solutions of some strongly coupled elliptic systems. Zbl 1278.35069Bonheure, Denis; dos Santos, Ederson Moreira; Ramos, Miguel 14 2013 Radial positive solutions of elliptic systems with Neumann boundary conditions. Zbl 1285.35030Bonheure, Denis; Serra, Enrico; Tilli, Paolo 14 2013 Nonlinear Schrödinger equations with potentials vanishing at infinity. Zbl 1099.35127Bonheure, Denis; van Schaftingen, Jean 13 2006 Multiple positive solutions of the stationary Keller-Segel system. Zbl 1375.35097Bonheure, Denis; Casteras, Jean-Baptiste; Noris, Benedetta 13 2017 Periodic solutions and torsional instability in a nonlinear nonlocal plate equation. Zbl 1437.35452Bonheure, Denis; Gazzola, Filippo; Dos Santos, Ederson Moreira 13 2019 Infinitely many radial solutions of a mean curvature equation in Lorentz-Minkowski space. Zbl 1268.35068Bonheure, Denis; de Coster, Colette; Derlet, Ann 13 2012 Multitransition kinks and pulses for fourth order equations with a bistable nonlinearity. Zbl 1073.34044Bonheure, Denis 12 2004 Asymptotics and symmetries of least energy nodal solutions of Lane-Emden problems with slow growth. Zbl 1156.35037Bonheure, Denis; Bouchez, Vincent; Grumiau, Christopher; van Schaftingen, Jean 12 2008 Nonlinear Schrödinger equation with unbounded or vanishing potentials: solutions concentrating on lower dimensional spheres. Zbl 1232.35057Bonheure, Denis; Di Cosmo, Jonathan; Van Schaftingen, Jean 11 2012 Symmetry of extremal functions in Moser-Trudinger inequalities and a Hénon type problem in dimension two. Zbl 1173.35044Bonheure, Denis; Serra, Enrico; Tarallo, Massimo 11 2008 Multiple critical points of perturbed symmetric strongly indefinite functionals. Zbl 1163.35013Bonheure, Denis; Ramos, Miguel 10 2009 Properties of ground states of nonlinear Schrödinger equations under a weak constant magnetic field. Zbl 1416.35088Bonheure, Denis; Nys, Manon; Van Schaftingen, Jean 10 2019 Existence and symmetry of least energy nodal solutions for Hamiltonian elliptic systems. Zbl 1328.35039Bonheure, Denis; Moreira dos Santos, Ederson; Ramos, Miguel; Tavares, Hugo 10 2015 Nonlinear Schrödinger equation: concentration on circles driven by an external magnetic field. Zbl 1362.35280Bonheure, Denis; Cingolani, Silvia; Nys, Manon 9 2016 Heteroclinic solutions of the prescribed curvature equation with a double-well potential. Zbl 1313.34132Bonheure, Denis; Obersnel, Franco; Omari, Pierpaolo 9 2013 Bounded and homoclinic-like solutions of a second-order singular differential equation. Zbl 1244.34029Bonheure, Denis; Torres, Pedro J. 8 2012 Waveguide solutions for a nonlinear Schrödinger equation with mixed dispersion. Zbl 1334.35310Bonheure, Denis; Nascimento, Robson 8 2015 Layered solutions with unbounded mass for the Keller-Segel equation. Zbl 1375.35096Bonheure, Denis; Casteras, Jean-Baptiste; Noris, Benedetta 8 2017 One-dimensional symmetry and Liouville type results for the fourth order Allen-Cahn equation in \(\mathbb{R}^N\). Zbl 1367.35050Bonheure, Denis; Hamel, François 8 2017 Eight(y) mathematical questions on fluids and structures. Zbl 1447.76016Bonheure, Denis; Gazzola, Filippo; Sperone, Gianmarco 8 2019 Concentration on circles for nonlinear Schrödinger-Poisson systems with unbounded potentials vanishing at infinity. Zbl 1250.35077Bonheure, Denis; Di Cosmo, Jonathan; Mercuri, Carlo 7 2012 Heteroclinics for fourth order symmetric bistable equations. Zbl 1115.34040Bonheure, D.; Habets, P.; Sanchez, L. 6 2004 Paths to uniqueness of critical points and applications to partial differential equations. Zbl 1397.49027Bonheure, Denis; Földes, Juraj; Moreira dos Santos, Ederson; Saldaña, Alberto; Tavares, Hugo 6 2018 The limit as \({p\to\infty}\) in the eigenvalue problem for a system of \(p\)-Laplacians. Zbl 1352.35083Bonheure, Denis; Rossi, Julio D.; Saintier, Nicolas 5 2016 On the regularity of the minimizer of the electrostatic Born-Infeld energy. Zbl 1411.49020Bonheure, Denis; Iacopetti, Alessandro 5 2019 On the Born-Infeld equation for electrostatic fields with a superposition of point charges. Zbl 1420.35395Bonheure, Denis; Colasuonno, Francesca; Földes, Juraj 5 2019 Erratum to: “Multiple critical points of perturbed symmetric strongly indefinite functionals”. Zbl 1170.35383Bonheure, Denis; Ramos, Miguel 4 2009 Problems at resonance for equations with periodic nonlinearities. Zbl 1046.34034Bonheure, D.; Fabry, C.; Ruiz, D. 4 2003 Strong instability of ground states to a fourth order Schrödinger equation. Zbl 1462.35347Bonheure, Denis; Castéras, Jean-Baptiste; Gou, Tianxiang; Jeanjean, Louis 4 2019 Asymptotics and symmetries of ground-state and least energy nodal solutions for boundary-value problems with slowly growing superlinearities. Zbl 1240.35198Bonheure, Denis; Bouchez, Vincent; Grumiau, Christopher 4 2009 Positive solutions of a second order singular ordinary differential equation. Zbl 1109.34310Bonheure, D.; Gomes, J. M.; Sanchez, L. 3 2005 Unbounded solutions of forced isochronous oscillators at resonance. Zbl 1030.70011Bonheure, D.; Fabry, C. 3 2002 Littlewood’s problem for isochronous oscillators. Zbl 1194.34057Bonheure, Denis; Fabry, Christian 3 2009 Qualitative properties of solutions to mixed-diffusion bistable equations. Zbl 1346.35070Bonheure, Denis; Földes, Juraj; Saldaña, Alberto 3 2016 Heteroclinic solutions of singular quasilinear bistable equations. Zbl 1375.34071Bonheure, Denis; Coelho, Isabel; Nys, Manon 3 2017 Equilibrium configuration of a rectangular obstacle immersed in a channel flow. Zbl 1455.35168Bonheure, Denis; Galdi, Giovanni P.; Gazzola, Filippo 3 2020 Symmetry results in two-dimensional inequalities for Aharonov-Bohm magnetic fields. Zbl 1439.81049Bonheure, Denis; Dolbeault, Jean; Esteban, Maria J.; Laptev, Ari; Loss, Michael 3 2020 Spacelike radial graphs of prescribed mean curvature in the Lorentz-Minkowski space. Zbl 1430.53008Bonheure, Denis; Iacopetti, Alessandro 3 2019 On a fourth-order nonlinear Helmholtz equation. Zbl 1422.35068Bonheure, Denis; Casteras, Jean-Baptiste; Mandel, Rainer 3 2019 On the multiplicity of nodal solutions of a prescribed mean curvature problem. Zbl 1281.35054Bonheure, Denis; Derlet, Ann; De Valeriola, Sébastien 3 2013 Heteroclinic solutions for a class of fourth order ordinary differential equations. Zbl 1192.34054Bonheure, Denis 2 2006 A variational approach to resonance for asymmetric oscillators. Zbl 1137.34016Bonheure, Denis; Fabry, Christian 2 2007 Nodal solutions for sublinear-type problems with Dirichlet boundary conditions. Zbl 1485.35228Bonheure, Denis; Moreira dos Santos, Ederson; Parini, Enea; Tavares, Hugo; Weth, Tobias 2 2022 Multitransition connections for fourth order equations with a bistable nonlinearity. Zbl 1107.34327Bonheure, Denis 1 2005 The behavior of solutions to an elliptic equation involving a \(p\)-Laplacian and a \(q\)-Laplacian for large \(p\). Zbl 1356.35104Bonheure, Denis; Rossi, Julio D. 1 2017 Equilibrium measures and equilibrium potentials in the Born-Infeld model. Zbl 1440.35184Bonheure, Denis; d’Avenia, Pietro; Pomponio, Alessio; Reichel, Wolfgang 1 2020 Representation theorems for Sobolev spaces on intervals and multiplicity results for nonlinear ODEs. Zbl 1218.34022Bonheure, Denis; dos Santos, Ederson Moreira 1 2010 Inequalities involving Aharonov-Bohm magnetic potentials in dimensions \(2\) and \(3\). Zbl 1499.81058Bonheure, Denis; Dolbeault, Jean; Esteban, Maria J.; Laptev, Ari; Loss, Michael 1 2021 Singular radial solutions for the Keller-Segel equation in high dimension. Zbl 1442.35156Bonheure, Denis; Casteras, Jean-Baptiste; Foldes, Juraj 1 2020 Nonlinear elliptic partial differential equations. Workshop in celebration of Jean-Pierre Gossez’s 65th birthday, Bruxelles, Belgium, September 2–4, 2009. Zbl 1214.35002 1 2011 Optimal profiles in a phase-transition model with a saturating flux. Zbl 1327.35126Bonheure, Denis; Obersnel, Franco 1 2015 Concentration phenomena for the Schrödinger-Poisson system in \(\mathbb{R}^2\). Zbl 1480.35153Bonheure, Denis; Cingolani, Silvia; Secchi, Simone 1 2021 Nodal solutions for sublinear-type problems with Dirichlet boundary conditions. Zbl 1485.35228Bonheure, Denis; Moreira dos Santos, Ederson; Parini, Enea; Tavares, Hugo; Weth, Tobias 2 2022 Inequalities involving Aharonov-Bohm magnetic potentials in dimensions \(2\) and \(3\). Zbl 1499.81058Bonheure, Denis; Dolbeault, Jean; Esteban, Maria J.; Laptev, Ari; Loss, Michael 1 2021 Concentration phenomena for the Schrödinger-Poisson system in \(\mathbb{R}^2\). Zbl 1480.35153Bonheure, Denis; Cingolani, Silvia; Secchi, Simone 1 2021 Equilibrium configuration of a rectangular obstacle immersed in a channel flow. Zbl 1455.35168Bonheure, Denis; Galdi, Giovanni P.; Gazzola, Filippo 3 2020 Symmetry results in two-dimensional inequalities for Aharonov-Bohm magnetic fields. Zbl 1439.81049Bonheure, Denis; Dolbeault, Jean; Esteban, Maria J.; Laptev, Ari; Loss, Michael 3 2020 Equilibrium measures and equilibrium potentials in the Born-Infeld model. Zbl 1440.35184Bonheure, Denis; d’Avenia, Pietro; Pomponio, Alessio; Reichel, Wolfgang 1 2020 Singular radial solutions for the Keller-Segel equation in high dimension. Zbl 1442.35156Bonheure, Denis; Casteras, Jean-Baptiste; Foldes, Juraj 1 2020 Normalized solutions to the mixed dispersion nonlinear Schrödinger equation in the mass critical and supercritical regime. Zbl 1420.35343Bonheure, Denis; Casteras, Jean-Baptiste; Gou, Tianxiang; Jeanjean, Louis 20 2019 Periodic solutions and torsional instability in a nonlinear nonlocal plate equation. Zbl 1437.35452Bonheure, Denis; Gazzola, Filippo; Dos Santos, Ederson Moreira 13 2019 Properties of ground states of nonlinear Schrödinger equations under a weak constant magnetic field. Zbl 1416.35088Bonheure, Denis; Nys, Manon; Van Schaftingen, Jean 10 2019 Eight(y) mathematical questions on fluids and structures. Zbl 1447.76016Bonheure, Denis; Gazzola, Filippo; Sperone, Gianmarco 8 2019 On the regularity of the minimizer of the electrostatic Born-Infeld energy. Zbl 1411.49020Bonheure, Denis; Iacopetti, Alessandro 5 2019 On the Born-Infeld equation for electrostatic fields with a superposition of point charges. Zbl 1420.35395Bonheure, Denis; Colasuonno, Francesca; Földes, Juraj 5 2019 Strong instability of ground states to a fourth order Schrödinger equation. Zbl 1462.35347Bonheure, Denis; Castéras, Jean-Baptiste; Gou, Tianxiang; Jeanjean, Louis 4 2019 Spacelike radial graphs of prescribed mean curvature in the Lorentz-Minkowski space. Zbl 1430.53008Bonheure, Denis; Iacopetti, Alessandro 3 2019 On a fourth-order nonlinear Helmholtz equation. Zbl 1422.35068Bonheure, Denis; Casteras, Jean-Baptiste; Mandel, Rainer 3 2019 Orbitally stable standing waves of a mixed dispersion nonlinear Schrödinger equation. Zbl 1404.35403Bonheure, Denis; Casteras, Jean-Baptiste; dos Santos, Ederson Moreira; Nascimento, Robson 15 2018 Paths to uniqueness of critical points and applications to partial differential equations. Zbl 1397.49027Bonheure, Denis; Földes, Juraj; Moreira dos Santos, Ederson; Saldaña, Alberto; Tavares, Hugo 6 2018 The logarithmic Choquard equation: sharp asymptotics and nondegeneracy of the groundstate. Zbl 1386.35052Bonheure, Denis; Cingolani, Silvia; Van Schaftingen, Jean 22 2017 Multiple positive solutions of the stationary Keller-Segel system. Zbl 1375.35097Bonheure, Denis; Casteras, Jean-Baptiste; Noris, Benedetta 13 2017 Layered solutions with unbounded mass for the Keller-Segel equation. Zbl 1375.35096Bonheure, Denis; Casteras, Jean-Baptiste; Noris, Benedetta 8 2017 One-dimensional symmetry and Liouville type results for the fourth order Allen-Cahn equation in \(\mathbb{R}^N\). Zbl 1367.35050Bonheure, Denis; Hamel, François 8 2017 Heteroclinic solutions of singular quasilinear bistable equations. Zbl 1375.34071Bonheure, Denis; Coelho, Isabel; Nys, Manon 3 2017 The behavior of solutions to an elliptic equation involving a \(p\)-Laplacian and a \(q\)-Laplacian for large \(p\). Zbl 1356.35104Bonheure, Denis; Rossi, Julio D. 1 2017 On the electrostatic Born-Infeld equation with extended charges. Zbl 1365.35170Bonheure, Denis; d’Avenia, Pietro; Pomponio, Alessio 37 2016 Multiple radial positive solutions of semilinear elliptic problems with Neumann boundary conditions. Zbl 1354.35041Bonheure, Denis; Grumiau, Christopher; Troestler, Christophe 26 2016 Multi-layer radial solutions for a supercritical Neumann problem. Zbl 1341.35061Bonheure, Denis; Grossi, Massimo; Noris, Benedetta; Terracini, Susanna 18 2016 Nonlinear Schrödinger equation: concentration on circles driven by an external magnetic field. Zbl 1362.35280Bonheure, Denis; Cingolani, Silvia; Nys, Manon 9 2016 The limit as \({p\to\infty}\) in the eigenvalue problem for a system of \(p\)-Laplacians. Zbl 1352.35083Bonheure, Denis; Rossi, Julio D.; Saintier, Nicolas 5 2016 Qualitative properties of solutions to mixed-diffusion bistable equations. Zbl 1346.35070Bonheure, Denis; Földes, Juraj; Saldaña, Alberto 3 2016 Existence and symmetry of least energy nodal solutions for Hamiltonian elliptic systems. Zbl 1328.35039Bonheure, Denis; Moreira dos Santos, Ederson; Ramos, Miguel; Tavares, Hugo 10 2015 Waveguide solutions for a nonlinear Schrödinger equation with mixed dispersion. Zbl 1334.35310Bonheure, Denis; Nascimento, Robson 8 2015 Optimal profiles in a phase-transition model with a saturating flux. Zbl 1327.35126Bonheure, Denis; Obersnel, Franco 1 2015 Hamiltonian elliptic systems: a guide to variational frameworks. Zbl 1326.35126Bonheure, D.; dos Santos, Ederson Moreira; Tavares, Hugo 28 2014 Symmetry and symmetry breaking for ground state solutions of some strongly coupled elliptic systems. Zbl 1278.35069Bonheure, Denis; dos Santos, Ederson Moreira; Ramos, Miguel 14 2013 Radial positive solutions of elliptic systems with Neumann boundary conditions. Zbl 1285.35030Bonheure, Denis; Serra, Enrico; Tilli, Paolo 14 2013 Heteroclinic solutions of the prescribed curvature equation with a double-well potential. Zbl 1313.34132Bonheure, Denis; Obersnel, Franco; Omari, Pierpaolo 9 2013 On the multiplicity of nodal solutions of a prescribed mean curvature problem. Zbl 1281.35054Bonheure, Denis; Derlet, Ann; De Valeriola, Sébastien 3 2013 Increasing radial solutions for Neumann problems without growth restrictions. Zbl 1248.35079Bonheure, Denis; Noris, Benedetta; Weth, Tobias 30 2012 Ground state and non-ground state solutions of some strongly coupled elliptic systems. Zbl 1250.35093Bonheure, Denis; Dos Santos, Ederson Moreira; Ramos, Miguel 29 2012 Infinitely many radial solutions of a mean curvature equation in Lorentz-Minkowski space. Zbl 1268.35068Bonheure, Denis; de Coster, Colette; Derlet, Ann 13 2012 Nonlinear Schrödinger equation with unbounded or vanishing potentials: solutions concentrating on lower dimensional spheres. Zbl 1232.35057Bonheure, Denis; Di Cosmo, Jonathan; Van Schaftingen, Jean 11 2012 Bounded and homoclinic-like solutions of a second-order singular differential equation. Zbl 1244.34029Bonheure, Denis; Torres, Pedro J. 8 2012 Concentration on circles for nonlinear Schrödinger-Poisson systems with unbounded potentials vanishing at infinity. Zbl 1250.35077Bonheure, Denis; Di Cosmo, Jonathan; Mercuri, Carlo 7 2012 Embedding theorems and existence results for nonlinear Schrödinger-Poisson systems with unbounded and vanishing potentials. Zbl 1223.35130Bonheure, Denis; Mercuri, Carlo 33 2011 Multiple positive radial solutions on annuli for nonlinear Neumann problems with large growth. Zbl 1216.35048Bonheure, Denis; Serra, Enrico 14 2011 Nonlinear elliptic partial differential equations. Workshop in celebration of Jean-Pierre Gossez’s 65th birthday, Bruxelles, Belgium, September 2–4, 2009. Zbl 1214.35002 1 2011 Groundstates for the nonlinear Schrödinger equation with potential vanishing at infinity. Zbl 1189.35059Bonheure, Denis; Van Schaftingen, Jean 35 2010 Representation theorems for Sobolev spaces on intervals and multiplicity results for nonlinear ODEs. Zbl 1218.34022Bonheure, Denis; dos Santos, Ederson Moreira 1 2010 Multiple critical points of perturbed symmetric strongly indefinite functionals. Zbl 1163.35013Bonheure, Denis; Ramos, Miguel 10 2009 Erratum to: “Multiple critical points of perturbed symmetric strongly indefinite functionals”. Zbl 1170.35383Bonheure, Denis; Ramos, Miguel 4 2009 Asymptotics and symmetries of ground-state and least energy nodal solutions for boundary-value problems with slowly growing superlinearities. Zbl 1240.35198Bonheure, Denis; Bouchez, Vincent; Grumiau, Christopher 4 2009 Littlewood’s problem for isochronous oscillators. Zbl 1194.34057Bonheure, Denis; Fabry, Christian 3 2009 Bound state solutions for a class of nonlinear Schrödinger equations. Zbl 1156.35084Bonheure, Denis; van Schaftingen, Jean 38 2008 Asymptotics and symmetries of least energy nodal solutions of Lane-Emden problems with slow growth. Zbl 1156.35037Bonheure, Denis; Bouchez, Vincent; Grumiau, Christopher; van Schaftingen, Jean 12 2008 Symmetry of extremal functions in Moser-Trudinger inequalities and a Hénon type problem in dimension two. Zbl 1173.35044Bonheure, Denis; Serra, Enrico; Tarallo, Massimo 11 2008 Classical and non-classical solutions of a prescribed curvature equation. Zbl 1136.34023Bonheure, Denis; Habets, Patrick; Obersnel, Franco; Omari, Pierpaolo 75 2007 Classical and non-classical positive solutions of a prescribed curvature equation with singularities. Zbl 1160.34015Bonheure, D.; Habets, P.; Obersnel, F.; Omari, P. 32 2007 A variational approach to resonance for asymmetric oscillators. Zbl 1137.34016Bonheure, Denis; Fabry, Christian 2 2007 Nonlinear Schrödinger equations with potentials vanishing at infinity. Zbl 1099.35127Bonheure, Denis; van Schaftingen, Jean 13 2006 Heteroclinic solutions for a class of fourth order ordinary differential equations. Zbl 1192.34054Bonheure, Denis 2 2006 Multiple positive solutions of superlinear elliptic problems with sign-changing weight. Zbl 1210.35089Bonheure, Denis; Gomes, José Maria; Habets, Patrick 31 2005 Positive solutions of a second-order singular ordinary differential equation. Zbl 1082.34019Bonheure, D.; Gomes, J. M.; Sanchez, L. 14 2005 Positive solutions of a second order singular ordinary differential equation. Zbl 1109.34310Bonheure, D.; Gomes, J. M.; Sanchez, L. 3 2005 Multitransition connections for fourth order equations with a bistable nonlinearity. Zbl 1107.34327Bonheure, Denis 1 2005 Multitransition kinks and pulses for fourth order equations with a bistable nonlinearity. Zbl 1073.34044Bonheure, Denis 12 2004 Heteroclinics for fourth order symmetric bistable equations. Zbl 1115.34040Bonheure, D.; Habets, P.; Sanchez, L. 6 2004 Forced singular oscillators and the method of lower and upper solutions. Zbl 1108.34033Bonheure, Denis; De Coster, Colette 38 2003 Heteroclinic connections between nonconsecutive equilibria of a fourth order differential equation. Zbl 1031.34043Bonheure, D.; Sanchez, L.; Tarallo, M.; Terracini, S. 14 2003 Problems at resonance for equations with periodic nonlinearities. Zbl 1046.34034Bonheure, D.; Fabry, C.; Ruiz, D. 4 2003 Periodic solutions of forced isochronous oscillators at resonance. Zbl 1021.34032Bonheure, D.; Fabry, C.; Smets, D. 25 2002 Periodic motions in impact oscillators with perfectly elastic bounces. Zbl 1019.34044Bonheure, D.; Fabry, C. 18 2002 Unbounded solutions of forced isochronous oscillators at resonance. Zbl 1030.70011Bonheure, D.; Fabry, C. 3 2002 all cited Publications top 5 cited Publications all top 5 Cited by 702 Authors 42 Bonheure, Denis 18 Boscaggin, Alberto 16 Omari, Pierpaolo 14 Moreira dos Santos, Ederson 14 Van Schaftingen, Jean 12 Chu, Jifeng 12 Figueiredo, Giovany Malcher 12 Gazzola, Filippo 12 Noris, Benedetta 11 Colasuonno, Francesca 11 Feltrin, Guglielmo 11 Ma, Ruyun 10 Pan, Hongjing 10 Tang, Xianhua 9 Alves, Claudianor Oliveira 9 Qian, Dingbian 9 Rachůnková, Irena 9 Rădulescu, Vicenţiu D. 9 Xing, Ruixiang 8 Castéras, Jean-baptiste 8 Garrione, Maurizio 8 Lu, Shiping 8 Tomeček, Jan 8 Zanolin, Fabio 7 Do Ó, João M. Bezerra 7 Pomponio, Alessio 7 Zhang, Jian 6 Corsato, Chiara 6 De Coster, Colette 6 Feng, Meiqiang 6 Jeanjean, Louis 6 Li, Shengjun 6 López-Gómez, Julián 6 Mercuri, Carlo 6 Moameni, Abbas 6 Obersnel, Franco 6 Saldaña, Alberto 6 Sfecci, Andrea 6 Sovrano, Elisa 6 Tavares, Hugo 6 Torres, Pedro José 6 Wu, Xian 6 Zhang, Ziheng 6 Zhou, Zhan 5 Azzollini, Antonio 5 Badiale, Marino 5 Cassani, Daniele 5 Dolbeault, Jean 5 Földes, Juraj 5 Fonda, Alessandro 5 Grumiau, Christopher 5 Kong, Fanchao 5 Li, Jin 5 Miyagaki, Olimpio Hiroshi 5 Moroz, Vitaly 5 Peng, Shuangjie 5 Ramos, Miguel 5 Ubilla, Pedro 5 Weth, Tobias 5 Zhang, Jianjun 5 Zou, Wenming 4 Barile, Sara 4 Carvalho, Jonison Lucas 4 Chen, Haibo 4 Chen, Shaowei 4 Chen, Tianlan 4 Cheng, Yan-Hsiou 4 Cingolani, Silvia 4 d’Avenia, Pietro 4 Deng, Shengfu 4 Di Cosmo, Jonathan 4 Feng, Binhua 4 Furtado, Marcelo Fernandes 4 Hung, Kuo-Chih 4 Iacopetti, Alessandro 4 Liu, Bin 4 Liu, Hongliang 4 Liu, Qihuai 4 Lu, Yanqiong 4 Mawhin, Jean L. 4 Medeiros, Everaldo S. 4 Pacella, Filomena 4 Pimenta, Marcos T. O. 4 Ramos Quoirin, Humberto 4 Rolando, Sergio 4 Secchi, Simone 4 Soares, Sérgio H. Monari 4 Sperone, Gianmarco 4 Troestler, Christophe 4 Wang, Zaihong 4 Wang, Zhiguo 4 Zhang, Zhitao 3 Amadori, Anna Lisa 3 Ambrosio, Vincenzo 3 An, Xiaoming 3 Bhakta, Mousomi 3 Bobkov, Vladimir E. 3 Cerda, Patricio 3 Chen, Sitong 3 Guedes de Figueiredo, Djairo ...and 602 more Authors all top 5 Cited in 140 Serials 58 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 51 Journal of Mathematical Analysis and Applications 51 Journal of Differential Equations 26 Calculus of Variations and Partial Differential Equations 26 Boundary Value Problems 22 NoDEA. Nonlinear Differential Equations and Applications 19 Advanced Nonlinear Studies 18 Discrete and Continuous Dynamical Systems 14 Communications in Contemporary Mathematics 12 Communications on Pure and Applied Analysis 11 Journal of Mathematical Physics 11 Annali di Matematica Pura ed Applicata. Serie Quarta 11 Nonlinear Analysis. Real World Applications 10 Nonlinearity 10 Advances in Difference Equations 9 ZAMP. Zeitschrift für angewandte Mathematik und Physik 9 Applied Mathematics Letters 8 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 8 Complex Variables and Elliptic Equations 7 Journal of Functional Analysis 7 Transactions of the American Mathematical Society 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 Discrete and Continuous Dynamical Systems. Series S 7 Advances in Nonlinear Analysis 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Acta Mathematica Sinica. English Series 6 Mediterranean Journal of Mathematics 6 Journal of Fixed Point Theory and Applications 5 Computers & Mathematics with Applications 5 Applied Mathematics and Computation 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Applicable Analysis 4 Archive for Rational Mechanics and Analysis 4 Archiv der Mathematik 4 Proceedings of the American Mathematical Society 4 Chinese Annals of Mathematics. Series B 4 SIAM Journal on Mathematical Analysis 4 Abstract and Applied Analysis 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Open Mathematics 3 Communications in Mathematical Physics 3 Mathematical Methods in the Applied Sciences 3 Acta Mathematicae Applicatae Sinica. English Series 3 Asymptotic Analysis 3 The Journal of Geometric Analysis 3 Journal of Dynamics and Differential Equations 3 Topological Methods in Nonlinear Analysis 3 Journal of Applied Mathematics 3 Advances in Mathematical Physics 3 Minimax Theory and its Applications 2 Journal of Statistical Physics 2 Rocky Mountain Journal of Mathematics 2 Advances in Mathematics 2 Mathematische Nachrichten 2 Monatshefte für Mathematik 2 Acta Applicandae Mathematicae 2 Physica D 2 Revista Matemática Iberoamericana 2 Mathematical and Computer Modelling 2 European Journal of Applied Mathematics 2 Journal of Nonlinear Science 2 Bulletin des Sciences Mathématiques 2 Mathematical Problems in Engineering 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Discrete Dynamics in Nature and Society 2 Annales Henri Poincaré 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Applied Mathematics and Computing 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Milan Journal of Mathematics 2 Analysis and Applications (Singapore) 2 Science China. Mathematics 2 Analysis and Mathematical Physics 2 Evolution Equations and Control Theory 2 Journal of Function Spaces 2 Mathematics in Engineering 1 Bulletin of the Australian Mathematical Society 1 Classical and Quantum Gravity 1 Computer Methods in Applied Mechanics and Engineering 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Biology 1 Reviews in Mathematical Physics 1 Chaos, Solitons and Fractals 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 Applied Mathematics and Optimization 1 Indiana University Mathematics Journal 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Results in Mathematics 1 Journal of Scientific Computing 1 Science in China. Series A 1 International Journal of Mathematics 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 IMRN. International Mathematics Research Notices 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Automation and Remote Control 1 Communications in Partial Differential Equations 1 International Journal of Computer Mathematics ...and 40 more Serials all top 5 Cited in 30 Fields 432 Partial differential equations (35-XX) 203 Ordinary differential equations (34-XX) 76 Operator theory (47-XX) 39 Global analysis, analysis on manifolds (58-XX) 35 Dynamical systems and ergodic theory (37-XX) 32 Functional analysis (46-XX) 23 Calculus of variations and optimal control; optimization (49-XX) 16 Fluid mechanics (76-XX) 15 Differential geometry (53-XX) 15 Mechanics of deformable solids (74-XX) 14 Quantum theory (81-XX) 13 Difference and functional equations (39-XX) 12 Optics, electromagnetic theory (78-XX) 10 Mechanics of particles and systems (70-XX) 8 Potential theory (31-XX) 7 Numerical analysis (65-XX) 6 Real functions (26-XX) 5 Integral equations (45-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Biology and other natural sciences (92-XX) 3 Computer science (68-XX) 3 Relativity and gravitational theory (83-XX) 1 Combinatorics (05-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-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