Edit Profile (opens in new tab) Bonheure, Denis Co-Author Distance Author ID: bonheure.denis Published as: Bonheure, Denis; Bonheure, D. External Links: MGP Documents Indexed: 83 Publications since 2001, including 1 Book and 3 Additional arXiv Preprints 1 Contribution as Editor Reviewing Activity: 13 Reviews Co-Authors: 68 Co-Authors with 81 Joint Publications 1,636 Co-Co-Authors all top 5 Co-Authors 3 single-authored 10 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 Nys, Manon 4 Obersnel, Franco 4 Tavares, Hugo 3 Cingolani, Silvia 3 De Coster, Colette 3 Grumiau, Christopher 3 Iacopetti, Alessandro 3 Nascimento, Robson 3 Omari, Pierpaolo 3 Serra, Enrico 2 Bouchez, Vincent 2 Coelho, Isabel 2 d’Avenia, Pietro 2 Derlet, Ann 2 Di Cosmo, Jonathan 2 Dolbeault, Jean 2 Esteban, Maria J. 2 Galdi, Giovanni Paolo 2 Gou, Tianxiang 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 Colasuonno, Francesca 1 Cuesta, Mabel 1 De Valeriola, Sébastien 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 Premoselli, Bruno 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 Archive for Rational Mechanics and Analysis 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 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 61 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 Differential geometry (53-XX) 4 Quantum theory (81-XX) 3 Functional analysis (46-XX) 3 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 2 Biology and other natural sciences (92-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 77 Publications have been cited 1,091 times in 762 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 On the electrostatic Born-Infeld equation with extended charges. Zbl 1365.35170 Bonheure, Denis; d’Avenia, Pietro; Pomponio, Alessio 49 2016 Hamiltonian elliptic systems: a guide to variational frameworks. Zbl 1326.35126 Bonheure, D.; dos Santos, Ederson Moreira; Tavares, Hugo 41 2014 Groundstates for the nonlinear Schrödinger equation with potential vanishing at infinity. Zbl 1189.35059 Bonheure, Denis; Van Schaftingen, Jean 40 2010 Bound state solutions for a class of nonlinear Schrödinger equations. Zbl 1156.35084 Bonheure, Denis; van Schaftingen, Jean 40 2008 Forced singular oscillators and the method of lower and upper solutions. Zbl 1108.34033 Bonheure, Denis; De Coster, Colette 39 2003 Increasing radial solutions for Neumann problems without growth restrictions. Zbl 1248.35079 Bonheure, Denis; Noris, Benedetta; Weth, Tobias 37 2012 Ground state and non-ground state solutions of some strongly coupled elliptic systems. Zbl 1250.35093 Bonheure, Denis; Dos Santos, Ederson Moreira; Ramos, Miguel 37 2012 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 Normalized solutions to the mixed dispersion nonlinear Schrödinger equation in the mass critical and supercritical regime. Zbl 1420.35343 Bonheure, Denis; Casteras, Jean-Baptiste; Gou, Tianxiang; Jeanjean, Louis 35 2019 Embedding theorems and existence results for nonlinear Schrödinger-Poisson systems with unbounded and vanishing potentials. Zbl 1223.35130 Bonheure, Denis; Mercuri, Carlo 33 2011 Multiple positive solutions of superlinear elliptic problems with sign-changing weight. Zbl 1210.35089 Bonheure, Denis; Gomes, José Maria; Habets, Patrick 32 2005 Multiple radial positive solutions of semilinear elliptic problems with Neumann boundary conditions. Zbl 1354.35041 Bonheure, Denis; Grumiau, Christopher; Troestler, Christophe 32 2016 Orbitally stable standing waves of a mixed dispersion nonlinear Schrödinger equation. Zbl 1404.35403 Bonheure, Denis; Casteras, Jean-Baptiste; dos Santos, Ederson Moreira; Nascimento, Robson 28 2018 Periodic solutions of forced isochronous oscillators at resonance. Zbl 1021.34032 Bonheure, D.; Fabry, C.; Smets, D. 26 2002 The logarithmic Choquard equation: sharp asymptotics and nondegeneracy of the groundstate. Zbl 1386.35052 Bonheure, Denis; Cingolani, Silvia; Van Schaftingen, Jean 25 2017 Radial positive solutions of elliptic systems with Neumann boundary conditions. Zbl 1285.35030 Bonheure, Denis; Serra, Enrico; Tilli, Paolo 20 2013 Multi-layer radial solutions for a supercritical Neumann problem. Zbl 1341.35061 Bonheure, Denis; Grossi, Massimo; Noris, Benedetta; Terracini, Susanna 19 2016 Periodic motions in impact oscillators with perfectly elastic bounces. Zbl 1019.34044 Bonheure, D.; Fabry, C. 19 2002 Periodic solutions and torsional instability in a nonlinear nonlocal plate equation. Zbl 1437.35452 Bonheure, Denis; Gazzola, Filippo; Dos Santos, Ederson Moreira 17 2019 Symmetry and symmetry breaking for ground state solutions of some strongly coupled elliptic systems. Zbl 1278.35069 Bonheure, Denis; dos Santos, Ederson Moreira; Ramos, Miguel 16 2013 Multiple positive radial solutions on annuli for nonlinear Neumann problems with large growth. Zbl 1216.35048 Bonheure, Denis; Serra, Enrico 15 2011 Multiple positive solutions of the stationary Keller-Segel system. Zbl 1375.35097 Bonheure, Denis; Casteras, Jean-Baptiste; Noris, Benedetta 15 2017 Nonlinear Schrödinger equations with potentials vanishing at infinity. Zbl 1099.35127 Bonheure, Denis; van Schaftingen, Jean 14 2006 Positive solutions of a second-order singular ordinary differential equation. Zbl 1082.34019 Bonheure, D.; Gomes, J. M.; Sanchez, L. 14 2005 Heteroclinic connections between nonconsecutive equilibria of a fourth order differential equation. Zbl 1031.34043 Bonheure, D.; Sanchez, L.; Tarallo, M.; Terracini, S. 14 2003 Properties of ground states of nonlinear Schrödinger equations under a weak constant magnetic field. Zbl 1416.35088 Bonheure, Denis; Nys, Manon; Van Schaftingen, Jean 14 2019 Infinitely many radial solutions of a mean curvature equation in Lorentz-Minkowski space. Zbl 1268.35068 Bonheure, Denis; de Coster, Colette; Derlet, Ann 14 2012 Nonlinear Schrödinger equation with unbounded or vanishing potentials: solutions concentrating on lower dimensional spheres. Zbl 1232.35057 Bonheure, Denis; Di Cosmo, Jonathan; Van Schaftingen, Jean 12 2012 Nonlinear Schrödinger equation: concentration on circles driven by an external magnetic field. Zbl 1362.35280 Bonheure, Denis; Cingolani, Silvia; Nys, Manon 12 2016 Multitransition kinks and pulses for fourth order equations with a bistable nonlinearity. Zbl 1073.34044 Bonheure, Denis 12 2004 Waveguide solutions for a nonlinear Schrödinger equation with mixed dispersion. Zbl 1334.35310 Bonheure, Denis; Nascimento, Robson 12 2015 Asymptotics and symmetries of least energy nodal solutions of Lane-Emden problems with slow growth. Zbl 1156.35037 Bonheure, Denis; Bouchez, Vincent; Grumiau, Christopher; van Schaftingen, Jean 12 2008 Multiple critical points of perturbed symmetric strongly indefinite functionals. Zbl 1163.35013 Bonheure, Denis; Ramos, Miguel 11 2009 Heteroclinic solutions of the prescribed curvature equation with a double-well potential. Zbl 1313.34132 Bonheure, Denis; Obersnel, Franco; Omari, Pierpaolo 11 2013 Symmetry of extremal functions in Moser-Trudinger inequalities and a Hénon type problem in dimension two. Zbl 1173.35044 Bonheure, Denis; Serra, Enrico; Tarallo, Massimo 11 2008 On the Born-Infeld equation for electrostatic fields with a superposition of point charges. Zbl 1420.35395 Bonheure, Denis; Colasuonno, Francesca; Földes, Juraj 11 2019 Existence and symmetry of least energy nodal solutions for Hamiltonian elliptic systems. Zbl 1328.35039 Bonheure, Denis; Moreira dos Santos, Ederson; Ramos, Miguel; Tavares, Hugo 10 2015 On the regularity of the minimizer of the electrostatic Born-Infeld energy. Zbl 1411.49020 Bonheure, Denis; Iacopetti, Alessandro 10 2019 Strong instability of ground states to a fourth order Schrödinger equation. Zbl 1462.35347 Bonheure, Denis; Castéras, Jean-Baptiste; Gou, Tianxiang; Jeanjean, Louis 10 2019 Paths to uniqueness of critical points and applications to partial differential equations. Zbl 1397.49027 Bonheure, Denis; Földes, Juraj; Moreira dos Santos, Ederson; Saldaña, Alberto; Tavares, Hugo 10 2018 Layered solutions with unbounded mass for the Keller-Segel equation. Zbl 1375.35096 Bonheure, Denis; Casteras, Jean-Baptiste; Noris, Benedetta 9 2017 Eight(y) mathematical questions on fluids and structures. Zbl 1447.76016 Bonheure, Denis; Gazzola, Filippo; Sperone, Gianmarco 9 2019 Bounded and homoclinic-like solutions of a second-order singular differential equation. Zbl 1244.34029 Bonheure, Denis; Torres, Pedro J. 8 2012 One-dimensional symmetry and Liouville type results for the fourth order Allen-Cahn equation in \(\mathbb{R}^N\). Zbl 1367.35050 Bonheure, Denis; Hamel, François 8 2017 Concentration on circles for nonlinear Schrödinger-Poisson systems with unbounded potentials vanishing at infinity. Zbl 1250.35077 Bonheure, Denis; Di Cosmo, Jonathan; Mercuri, Carlo 7 2012 Concentration phenomena for the Schrödinger-Poisson system in \(\mathbb{R}^2\). Zbl 1480.35153 Bonheure, Denis; Cingolani, Silvia; Secchi, Simone 7 2021 Heteroclinics for fourth order symmetric bistable equations. Zbl 1115.34040 Bonheure, D.; Habets, P.; Sanchez, L. 6 2004 Spacelike radial graphs of prescribed mean curvature in the Lorentz-Minkowski space. Zbl 1430.53008 Bonheure, Denis; Iacopetti, Alessandro 6 2019 On a fourth-order nonlinear Helmholtz equation. Zbl 1422.35068 Bonheure, Denis; Casteras, Jean-Baptiste; Mandel, Rainer 6 2019 Heteroclinic solutions of singular quasilinear bistable equations. Zbl 1375.34071 Bonheure, Denis; Coelho, Isabel; Nys, Manon 5 2017 Equilibrium configuration of a rectangular obstacle immersed in a channel flow. Zbl 1455.35168 Bonheure, Denis; Galdi, Giovanni P.; Gazzola, Filippo 5 2020 The limit as \({p\to\infty}\) in the eigenvalue problem for a system of \(p\)-Laplacians. Zbl 1352.35083 Bonheure, Denis; Rossi, Julio D.; Saintier, Nicolas 5 2016 Asymptotics and symmetries of ground-state and least energy nodal solutions for boundary-value problems with slowly growing superlinearities. Zbl 1240.35198 Bonheure, Denis; Bouchez, Vincent; Grumiau, Christopher 4 2009 Problems at resonance for equations with periodic nonlinearities. Zbl 1046.34034 Bonheure, D.; Fabry, C.; Ruiz, D. 4 2003 Erratum to: “Multiple critical points of perturbed symmetric strongly indefinite functionals”. Zbl 1170.35383 Bonheure, Denis; Ramos, Miguel 4 2009 Littlewood’s problem for isochronous oscillators. Zbl 1194.34057 Bonheure, Denis; Fabry, Christian 4 2009 Qualitative properties of solutions to mixed-diffusion bistable equations. Zbl 1346.35070 Bonheure, Denis; Földes, Juraj; Saldaña, Alberto 4 2016 On the multiplicity of nodal solutions of a prescribed mean curvature problem. Zbl 1281.35054 Bonheure, Denis; Derlet, Ann; De Valeriola, Sébastien 4 2013 Long-time dynamics of a hinged-free plate driven by a nonconservative force. Zbl 1511.35043 Bonheure, Denis; Gazzola, Filippo; Lasiecka, Irena; Webster, Justin 4 2022 Positive solutions of a second order singular ordinary differential equation. Zbl 1109.34310 Bonheure, D.; Gomes, J. M.; Sanchez, L. 3 2005 Unbounded solutions of forced isochronous oscillators at resonance. Zbl 1030.70011 Bonheure, D.; Fabry, C. 3 2002 Singular radial solutions for the Keller-Segel equation in high dimension. Zbl 1442.35156 Bonheure, Denis; Casteras, Jean-Baptiste; Foldes, Juraj 3 2020 A sharp gradient estimate and \(W^{2, q}\) regularity for the prescribed mean curvature equation in the Lorentz-Minkowski space. Zbl 07754927 Bonheure, Denis; Iacopetti, Alessandro 3 2023 Bifurcation analysis of the Hardy-Sobolev equation. Zbl 1468.35016 Bonheure, Denis; Casteras, Jean-Baptiste; Gladiali, Francesca 3 2021 Symmetry results in two-dimensional inequalities for Aharonov-Bohm magnetic fields. Zbl 1439.81049 Bonheure, Denis; Dolbeault, Jean; Esteban, Maria J.; Laptev, Ari; Loss, Michael 3 2020 Equilibrium measures and equilibrium potentials in the Born-Infeld model. Zbl 1440.35184 Bonheure, Denis; d’Avenia, Pietro; Pomponio, Alessio; Reichel, Wolfgang 3 2020 A variational approach to resonance for asymmetric oscillators. Zbl 1137.34016 Bonheure, Denis; Fabry, Christian 2 2007 Heteroclinic solutions for a class of fourth order ordinary differential equations. Zbl 1192.34054 Bonheure, Denis 2 2006 Nodal solutions for sublinear-type problems with Dirichlet boundary conditions. Zbl 1485.35228 Bonheure, Denis; Moreira dos Santos, Ederson; Parini, Enea; Tavares, Hugo; Weth, Tobias 2 2022 Unbounded mass radial solutions for the Keller-Segel equation in the disk. Zbl 1472.35060 Bonheure, Denis; Casteras, Jean-Baptiste; Román, Carlos 2 2021 Inequalities involving Aharonov-Bohm magnetic potentials in dimensions \(2\) and \(3\). Zbl 1499.81058 Bonheure, Denis; Dolbeault, Jean; Esteban, Maria J.; Laptev, Ari; Loss, Michael 2 2021 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 Multitransition connections for fourth order equations with a bistable nonlinearity. Zbl 1107.34327 Bonheure, Denis 1 2005 The behavior of solutions to an elliptic equation involving a \(p\)-Laplacian and a \(q\)-Laplacian for large \(p\). Zbl 1356.35104 Bonheure, Denis; Rossi, Julio D. 1 2017 Optimal profiles in a phase-transition model with a saturating flux. Zbl 1327.35126 Bonheure, Denis; Obersnel, Franco 1 2015 Representation theorems for Sobolev spaces on intervals and multiplicity results for nonlinear ODEs. Zbl 1218.34022 Bonheure, Denis; dos Santos, Ederson Moreira 1 2010 A sharp gradient estimate and \(W^{2, q}\) regularity for the prescribed mean curvature equation in the Lorentz-Minkowski space. Zbl 07754927 Bonheure, Denis; Iacopetti, Alessandro 3 2023 Long-time dynamics of a hinged-free plate driven by a nonconservative force. Zbl 1511.35043 Bonheure, Denis; Gazzola, Filippo; Lasiecka, Irena; Webster, Justin 4 2022 Nodal solutions for sublinear-type problems with Dirichlet boundary conditions. Zbl 1485.35228 Bonheure, Denis; Moreira dos Santos, Ederson; Parini, Enea; Tavares, Hugo; Weth, Tobias 2 2022 Concentration phenomena for the Schrödinger-Poisson system in \(\mathbb{R}^2\). Zbl 1480.35153 Bonheure, Denis; Cingolani, Silvia; Secchi, Simone 7 2021 Bifurcation analysis of the Hardy-Sobolev equation. Zbl 1468.35016 Bonheure, Denis; Casteras, Jean-Baptiste; Gladiali, Francesca 3 2021 Unbounded mass radial solutions for the Keller-Segel equation in the disk. Zbl 1472.35060 Bonheure, Denis; Casteras, Jean-Baptiste; Román, Carlos 2 2021 Inequalities involving Aharonov-Bohm magnetic potentials in dimensions \(2\) and \(3\). Zbl 1499.81058 Bonheure, Denis; Dolbeault, Jean; Esteban, Maria J.; Laptev, Ari; Loss, Michael 2 2021 Equilibrium configuration of a rectangular obstacle immersed in a channel flow. Zbl 1455.35168 Bonheure, Denis; Galdi, Giovanni P.; Gazzola, Filippo 5 2020 Singular radial solutions for the Keller-Segel equation in high dimension. Zbl 1442.35156 Bonheure, Denis; Casteras, Jean-Baptiste; Foldes, Juraj 3 2020 Symmetry results in two-dimensional inequalities for Aharonov-Bohm magnetic fields. Zbl 1439.81049 Bonheure, Denis; Dolbeault, Jean; Esteban, Maria J.; Laptev, Ari; Loss, Michael 3 2020 Equilibrium measures and equilibrium potentials in the Born-Infeld model. Zbl 1440.35184 Bonheure, Denis; d’Avenia, Pietro; Pomponio, Alessio; Reichel, Wolfgang 3 2020 Normalized solutions to the mixed dispersion nonlinear Schrödinger equation in the mass critical and supercritical regime. Zbl 1420.35343 Bonheure, Denis; Casteras, Jean-Baptiste; Gou, Tianxiang; Jeanjean, Louis 35 2019 Periodic solutions and torsional instability in a nonlinear nonlocal plate equation. Zbl 1437.35452 Bonheure, Denis; Gazzola, Filippo; Dos Santos, Ederson Moreira 17 2019 Properties of ground states of nonlinear Schrödinger equations under a weak constant magnetic field. Zbl 1416.35088 Bonheure, Denis; Nys, Manon; Van Schaftingen, Jean 14 2019 On the Born-Infeld equation for electrostatic fields with a superposition of point charges. Zbl 1420.35395 Bonheure, Denis; Colasuonno, Francesca; Földes, Juraj 11 2019 On the regularity of the minimizer of the electrostatic Born-Infeld energy. Zbl 1411.49020 Bonheure, Denis; Iacopetti, Alessandro 10 2019 Strong instability of ground states to a fourth order Schrödinger equation. Zbl 1462.35347 Bonheure, Denis; Castéras, Jean-Baptiste; Gou, Tianxiang; Jeanjean, Louis 10 2019 Eight(y) mathematical questions on fluids and structures. Zbl 1447.76016 Bonheure, Denis; Gazzola, Filippo; Sperone, Gianmarco 9 2019 Spacelike radial graphs of prescribed mean curvature in the Lorentz-Minkowski space. Zbl 1430.53008 Bonheure, Denis; Iacopetti, Alessandro 6 2019 On a fourth-order nonlinear Helmholtz equation. Zbl 1422.35068 Bonheure, Denis; Casteras, Jean-Baptiste; Mandel, Rainer 6 2019 Orbitally stable standing waves of a mixed dispersion nonlinear Schrödinger equation. Zbl 1404.35403 Bonheure, Denis; Casteras, Jean-Baptiste; dos Santos, Ederson Moreira; Nascimento, Robson 28 2018 Paths to uniqueness of critical points and applications to partial differential equations. Zbl 1397.49027 Bonheure, Denis; Földes, Juraj; Moreira dos Santos, Ederson; Saldaña, Alberto; Tavares, Hugo 10 2018 The logarithmic Choquard equation: sharp asymptotics and nondegeneracy of the groundstate. Zbl 1386.35052 Bonheure, Denis; Cingolani, Silvia; Van Schaftingen, Jean 25 2017 Multiple positive solutions of the stationary Keller-Segel system. Zbl 1375.35097 Bonheure, Denis; Casteras, Jean-Baptiste; Noris, Benedetta 15 2017 Layered solutions with unbounded mass for the Keller-Segel equation. Zbl 1375.35096 Bonheure, Denis; Casteras, Jean-Baptiste; Noris, Benedetta 9 2017 One-dimensional symmetry and Liouville type results for the fourth order Allen-Cahn equation in \(\mathbb{R}^N\). Zbl 1367.35050 Bonheure, Denis; Hamel, François 8 2017 Heteroclinic solutions of singular quasilinear bistable equations. Zbl 1375.34071 Bonheure, Denis; Coelho, Isabel; Nys, Manon 5 2017 The behavior of solutions to an elliptic equation involving a \(p\)-Laplacian and a \(q\)-Laplacian for large \(p\). Zbl 1356.35104 Bonheure, Denis; Rossi, Julio D. 1 2017 On the electrostatic Born-Infeld equation with extended charges. Zbl 1365.35170 Bonheure, Denis; d’Avenia, Pietro; Pomponio, Alessio 49 2016 Multiple radial positive solutions of semilinear elliptic problems with Neumann boundary conditions. Zbl 1354.35041 Bonheure, Denis; Grumiau, Christopher; Troestler, Christophe 32 2016 Multi-layer radial solutions for a supercritical Neumann problem. Zbl 1341.35061 Bonheure, Denis; Grossi, Massimo; Noris, Benedetta; Terracini, Susanna 19 2016 Nonlinear Schrödinger equation: concentration on circles driven by an external magnetic field. Zbl 1362.35280 Bonheure, Denis; Cingolani, Silvia; Nys, Manon 12 2016 The limit as \({p\to\infty}\) in the eigenvalue problem for a system of \(p\)-Laplacians. Zbl 1352.35083 Bonheure, Denis; Rossi, Julio D.; Saintier, Nicolas 5 2016 Qualitative properties of solutions to mixed-diffusion bistable equations. Zbl 1346.35070 Bonheure, Denis; Földes, Juraj; Saldaña, Alberto 4 2016 Waveguide solutions for a nonlinear Schrödinger equation with mixed dispersion. Zbl 1334.35310 Bonheure, Denis; Nascimento, Robson 12 2015 Existence and symmetry of least energy nodal solutions for Hamiltonian elliptic systems. Zbl 1328.35039 Bonheure, Denis; Moreira dos Santos, Ederson; Ramos, Miguel; Tavares, Hugo 10 2015 Optimal profiles in a phase-transition model with a saturating flux. Zbl 1327.35126 Bonheure, Denis; Obersnel, Franco 1 2015 Hamiltonian elliptic systems: a guide to variational frameworks. Zbl 1326.35126 Bonheure, D.; dos Santos, Ederson Moreira; Tavares, Hugo 41 2014 Radial positive solutions of elliptic systems with Neumann boundary conditions. Zbl 1285.35030 Bonheure, Denis; Serra, Enrico; Tilli, Paolo 20 2013 Symmetry and symmetry breaking for ground state solutions of some strongly coupled elliptic systems. Zbl 1278.35069 Bonheure, Denis; dos Santos, Ederson Moreira; Ramos, Miguel 16 2013 Heteroclinic solutions of the prescribed curvature equation with a double-well potential. Zbl 1313.34132 Bonheure, Denis; Obersnel, Franco; Omari, Pierpaolo 11 2013 On the multiplicity of nodal solutions of a prescribed mean curvature problem. Zbl 1281.35054 Bonheure, Denis; Derlet, Ann; De Valeriola, Sébastien 4 2013 Increasing radial solutions for Neumann problems without growth restrictions. Zbl 1248.35079 Bonheure, Denis; Noris, Benedetta; Weth, Tobias 37 2012 Ground state and non-ground state solutions of some strongly coupled elliptic systems. Zbl 1250.35093 Bonheure, Denis; Dos Santos, Ederson Moreira; Ramos, Miguel 37 2012 Infinitely many radial solutions of a mean curvature equation in Lorentz-Minkowski space. Zbl 1268.35068 Bonheure, Denis; de Coster, Colette; Derlet, Ann 14 2012 Nonlinear Schrödinger equation with unbounded or vanishing potentials: solutions concentrating on lower dimensional spheres. Zbl 1232.35057 Bonheure, Denis; Di Cosmo, Jonathan; Van Schaftingen, Jean 12 2012 Bounded and homoclinic-like solutions of a second-order singular differential equation. Zbl 1244.34029 Bonheure, Denis; Torres, Pedro J. 8 2012 Concentration on circles for nonlinear Schrödinger-Poisson systems with unbounded potentials vanishing at infinity. Zbl 1250.35077 Bonheure, Denis; Di Cosmo, Jonathan; Mercuri, Carlo 7 2012 Embedding theorems and existence results for nonlinear Schrödinger-Poisson systems with unbounded and vanishing potentials. Zbl 1223.35130 Bonheure, Denis; Mercuri, Carlo 33 2011 Multiple positive radial solutions on annuli for nonlinear Neumann problems with large growth. Zbl 1216.35048 Bonheure, Denis; Serra, Enrico 15 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 1189.35059 Bonheure, Denis; Van Schaftingen, Jean 40 2010 Representation theorems for Sobolev spaces on intervals and multiplicity results for nonlinear ODEs. Zbl 1218.34022 Bonheure, Denis; dos Santos, Ederson Moreira 1 2010 Multiple critical points of perturbed symmetric strongly indefinite functionals. Zbl 1163.35013 Bonheure, Denis; Ramos, Miguel 11 2009 Asymptotics and symmetries of ground-state and least energy nodal solutions for boundary-value problems with slowly growing superlinearities. Zbl 1240.35198 Bonheure, Denis; Bouchez, Vincent; Grumiau, Christopher 4 2009 Erratum to: “Multiple critical points of perturbed symmetric strongly indefinite functionals”. Zbl 1170.35383 Bonheure, Denis; Ramos, Miguel 4 2009 Littlewood’s problem for isochronous oscillators. Zbl 1194.34057 Bonheure, Denis; Fabry, Christian 4 2009 Bound state solutions for a class of nonlinear Schrödinger equations. Zbl 1156.35084 Bonheure, Denis; van Schaftingen, Jean 40 2008 Asymptotics and symmetries of least energy nodal solutions of Lane-Emden problems with slow growth. Zbl 1156.35037 Bonheure, 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 1173.35044 Bonheure, Denis; Serra, Enrico; Tarallo, Massimo 11 2008 Classical and non-classical solutions of a prescribed curvature equation. Zbl 1136.34023 Bonheure, Denis; Habets, Patrick; Obersnel, Franco; Omari, Pierpaolo 82 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 A variational approach to resonance for asymmetric oscillators. Zbl 1137.34016 Bonheure, Denis; Fabry, Christian 2 2007 Nonlinear Schrödinger equations with potentials vanishing at infinity. Zbl 1099.35127 Bonheure, Denis; van Schaftingen, Jean 14 2006 Heteroclinic solutions for a class of fourth order ordinary differential equations. Zbl 1192.34054 Bonheure, Denis 2 2006 Multiple positive solutions of superlinear elliptic problems with sign-changing weight. Zbl 1210.35089 Bonheure, Denis; Gomes, José Maria; Habets, Patrick 32 2005 Positive solutions of a second-order singular ordinary differential equation. Zbl 1082.34019 Bonheure, D.; Gomes, J. M.; Sanchez, L. 14 2005 Positive solutions of a second order singular ordinary differential equation. Zbl 1109.34310 Bonheure, D.; Gomes, J. M.; Sanchez, L. 3 2005 Multitransition connections for fourth order equations with a bistable nonlinearity. Zbl 1107.34327 Bonheure, Denis 1 2005 Multitransition kinks and pulses for fourth order equations with a bistable nonlinearity. Zbl 1073.34044 Bonheure, Denis 12 2004 Heteroclinics for fourth order symmetric bistable equations. Zbl 1115.34040 Bonheure, D.; Habets, P.; Sanchez, L. 6 2004 Forced singular oscillators and the method of lower and upper solutions. Zbl 1108.34033 Bonheure, Denis; De Coster, Colette 39 2003 Heteroclinic connections between nonconsecutive equilibria of a fourth order differential equation. Zbl 1031.34043 Bonheure, D.; Sanchez, L.; Tarallo, M.; Terracini, S. 14 2003 Problems at resonance for equations with periodic nonlinearities. Zbl 1046.34034 Bonheure, D.; Fabry, C.; Ruiz, D. 4 2003 Periodic solutions of forced isochronous oscillators at resonance. Zbl 1021.34032 Bonheure, D.; Fabry, C.; Smets, D. 26 2002 Periodic motions in impact oscillators with perfectly elastic bounces. Zbl 1019.34044 Bonheure, D.; Fabry, C. 19 2002 Unbounded solutions of forced isochronous oscillators at resonance. Zbl 1030.70011 Bonheure, D.; Fabry, C. 3 2002 all cited Publications top 5 cited Publications all top 5 Cited by 815 Authors 45 Bonheure, Denis 18 Boscaggin, Alberto 17 Omari, Pierpaolo 16 Gazzola, Filippo 16 Moreira dos Santos, Ederson 14 Van Schaftingen, Jean 13 Colasuonno, Francesca 12 Feltrin, Guglielmo 12 Figueiredo, Giovany Malcher 12 Ma, Ruyun 12 Noris, Benedetta 12 Rădulescu, Vicenţiu D. 11 Garrione, Maurizio 11 Pan, Hongjing 11 Tang, Xianhua 10 Alves, Claudianor Oliveira 10 Chu, Jifeng 10 Saldaña, Alberto 9 Castéras, Jean-baptiste 9 Pomponio, Alessio 9 Qian, Dingbian 9 Rachůnková, Irena 9 Xing, Ruixiang 8 Lu, Shiping 8 Tomeček, Jan 8 Zanolin, Fabio 8 Zhang, Jian 8 Zhang, Ziheng 7 Do Ó, João M. Bezerra 7 López-Gómez, Julián 7 Miyagaki, Olimpio Hiroshi 7 Souto de Medeiros, Everaldo 7 Sovrano, Elisa 7 Tavares, Hugo 7 Weth, Tobias 7 Zou, Wenming 6 Carvalho, Jonison Lucas 6 Cassani, Daniele 6 Chen, Tianlan 6 Corsato, Chiara 6 De Coster, Colette 6 Dolbeault, Jean 6 Feng, Meiqiang 6 Földes, Juraj 6 Furtado, Marcelo Fernandes 6 Jeanjean, Louis 6 Li, Shengjun 6 Mercuri, Carlo 6 Obersnel, Franco 6 Peng, Shuangjie 6 Sfecci, Andrea 6 Torres, Pedro José 6 Ubilla, Pedro 6 Wu, Xian 6 Zhang, Zhitao 6 Zhou, Zhan 5 An, Xiaoming 5 Azzollini, Antonio 5 Badiale, Marino 5 Chen, Shaowei 5 Cingolani, Silvia 5 d’Avenia, Pietro 5 Fonda, Alessandro 5 Gou, Tianxiang 5 Grumiau, Christopher 5 Iacopetti, Alessandro 5 Kong, Fanchao 5 Li, Jin 5 Moroz, Vitaly 5 Papageorgiou, Nikolaos S. 5 Ramos, Miguel 5 Zhang, Jianjun 4 Barile, Sara 4 Cerda, Patricio 4 Chen, Haibo 4 Cheng, Yan-Hsiou 4 Deng, Shengbing 4 Deng, Shengfu 4 Di Cosmo, Jonathan 4 Esteban, Maria J. 4 Feng, Binhua 4 Hajaiej, Hichem 4 Hung, Kuo-Chih 4 Li, Quanqing 4 Liu, Bin 4 Liu, Hongliang 4 Liu, Qihuai 4 Loss, Michael 4 Lu, Yanqiong 4 Luo, Tingjian 4 Mandel, Rainer 4 Mawhin, Jean L. 4 Pacella, Filomena 4 Ramos Quoirin, Humberto 4 Rolando, Sergio 4 Secchi, Simone 4 Soares, Sérgio H. Monari 4 Sperone, Gianmarco 4 Torres Ledesma, César Enrique 4 Troestler, Christophe ...and 715 more Authors all top 5 Cited in 155 Serials 61 Journal of Differential Equations 61 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 54 Journal of Mathematical Analysis and Applications 31 Calculus of Variations and Partial Differential Equations 26 Boundary Value Problems 25 NoDEA. Nonlinear Differential Equations and Applications 21 Discrete and Continuous Dynamical Systems 21 Advanced Nonlinear Studies 15 Nonlinearity 14 Communications in Contemporary Mathematics 13 Journal of Mathematical Physics 13 ZAMP. Zeitschrift für angewandte Mathematik und Physik 12 Annali di Matematica Pura ed Applicata. Serie Quarta 12 Communications on Pure and Applied Analysis 11 Nonlinear Analysis. Real World Applications 10 Journal of Functional Analysis 10 Advances in Difference Equations 9 Applied Mathematics Letters 9 Proceedings of the Royal Society of Edinburgh. 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(English Edition) 2 Journal of Applied Mathematics and Computing 2 Milan Journal of Mathematics 2 Analysis and Applications (Singapore) 2 Advances in Mathematical Physics 2 Analysis and Mathematical Physics 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 Letters in Mathematical Physics 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 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics ...and 55 more Serials all top 5 Cited in 31 Fields 536 Partial differential equations (35-XX) 217 Ordinary differential equations (34-XX) 84 Operator theory (47-XX) 41 Global analysis, analysis on manifolds (58-XX) 38 Dynamical systems and ergodic theory (37-XX) 33 Functional analysis (46-XX) 25 Calculus of variations and optimal control; optimization (49-XX) 23 Mechanics of deformable solids (74-XX) 18 Differential geometry (53-XX) 18 Fluid mechanics (76-XX) 16 Quantum theory (81-XX) 14 Optics, electromagnetic theory (78-XX) 13 Difference and functional equations (39-XX) 11 Mechanics of particles and systems (70-XX) 10 Potential theory (31-XX) 10 Numerical analysis (65-XX) 7 Biology and other natural sciences (92-XX) 6 Real functions (26-XX) 5 Integral equations (45-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Relativity and gravitational theory (83-XX) 2 General topology (54-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 2 Systems theory; control (93-XX) 1 Combinatorics (05-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Algebraic topology (55-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year