## Bonheure, Denis

Compute Distance To:
 Author ID: bonheure.denis Published as: Bonheure, Denis; Bonheure, D. External Links: MGP
 Documents Indexed: 78 Publications since 2001, including 1 Book 1 Contribution as Editor Reviewing Activity: 13 Reviews Co-Authors: 65 Co-Authors with 76 Joint Publications 1,311 Co-Co-Authors
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### 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 Gomes, José Maria 4 Noris, Benedetta 4 Obersnel, Franco 4 Tavares, Hugo 3 Cingolani, Silvia 3 De Coster, Colette 3 Gazzola, Filippo 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 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 Willem, Michel
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### Serials

 7 Journal of Differential Equations 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Calculus of Variations and Partial Differential Equations 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 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
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### Fields

 58 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 Optics, electromagnetic theory (78-XX) 4 Mechanics of particles and systems (70-XX) 4 Quantum theory (81-XX) 3 Functional analysis (46-XX) 3 Differential geometry (53-XX) 2 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)

### Citations contained in zbMATH Open

73 Publications have been cited 830 times in 599 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
2007
Forced singular oscillators and the method of lower and upper solutions. Zbl 1108.34033
Bonheure, Denis; De Coster, Colette
2003
Bound state solutions for a class of nonlinear Schrödinger equations. Zbl 1156.35084
Bonheure, Denis; van Schaftingen, Jean
2008
Groundstates for the nonlinear Schrödinger equation with potential vanishing at infinity. Zbl 1189.35059
Bonheure, Denis; Van Schaftingen, Jean
2010
On the electrostatic Born-Infeld equation with extended charges. Zbl 1365.35170
Bonheure, Denis; d’Avenia, Pietro; Pomponio, Alessio
2016
Classical and non-classical positive solutions of a prescribed curvature equation with singularities. Zbl 1160.34015
Bonheure, D.; Habets, P.; Obersnel, F.; Omari, P.
2007
Multiple positive solutions of superlinear elliptic problems with sign-changing weight. Zbl 1210.35089
Bonheure, Denis; Gomes, José Maria; Habets, Patrick
2005
Embedding theorems and existence results for nonlinear Schrödinger-Poisson systems with unbounded and vanishing potentials. Zbl 1223.35130
Bonheure, Denis; Mercuri, Carlo
2011
Ground state and non-ground state solutions of some strongly coupled elliptic systems. Zbl 1250.35093
Bonheure, Denis; Dos Santos, Ederson Moreira; Ramos, Miguel
2012
Hamiltonian elliptic systems: a guide to variational frameworks. Zbl 1326.35126
Bonheure, D.; dos Santos, Ederson Moreira; Tavares, Hugo
2014
Increasing radial solutions for Neumann problems without growth restrictions. Zbl 1248.35079
Bonheure, Denis; Noris, Benedetta; Weth, Tobias
2012
Periodic solutions of forced isochronous oscillators at resonance. Zbl 1021.34032
Bonheure, D.; Fabry, C.; Smets, D.
2002
Multiple radial positive solutions of semilinear elliptic problems with Neumann boundary conditions. Zbl 1354.35041
Bonheure, Denis; Grumiau, Christopher; Troestler, Christophe
2016
The logarithmic Choquard equation: sharp asymptotics and nondegeneracy of the groundstate. Zbl 1386.35052
Bonheure, Denis; Cingolani, Silvia; Van Schaftingen, Jean
2017
Periodic motions in impact oscillators with perfectly elastic bounces. Zbl 1019.34044
Bonheure, D.; Fabry, C.
2002
Multi-layer radial solutions for a supercritical Neumann problem. Zbl 1341.35061
Bonheure, Denis; Grossi, Massimo; Noris, Benedetta; Terracini, Susanna
2016
Positive solutions of a second-order singular ordinary differential equation. Zbl 1082.34019
Bonheure, D.; Gomes, J. M.; Sanchez, L.
2005
Heteroclinic connections between nonconsecutive equilibria of a fourth order differential equation. Zbl 1031.34043
Bonheure, D.; Sanchez, L.; Tarallo, M.; Terracini, S.
2003
Radial positive solutions of elliptic systems with Neumann boundary conditions. Zbl 1285.35030
Bonheure, Denis; Serra, Enrico; Tilli, Paolo
2013
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
2018
Infinitely many radial solutions of a mean curvature equation in Lorentz-Minkowski space. Zbl 1268.35068
Bonheure, Denis; de Coster, Colette; Derlet, Ann
2012
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
2019
Multiple positive solutions of the stationary Keller-Segel system. Zbl 1375.35097
Bonheure, Denis; Casteras, Jean-Baptiste; Noris, Benedetta
2017
Multitransition kinks and pulses for fourth order equations with a bistable nonlinearity. Zbl 1073.34044
Bonheure, Denis
2004
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
2008
Multiple positive radial solutions on annuli for nonlinear Neumann problems with large growth. Zbl 1216.35048
Bonheure, Denis; Serra, Enrico
2011
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
2013
Nonlinear Schrödinger equations with potentials vanishing at infinity. Zbl 1099.35127
Bonheure, Denis; van Schaftingen, Jean
2006
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
2012
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
2008
Multiple critical points of perturbed symmetric strongly indefinite functionals. Zbl 1163.35013
Bonheure, Denis; Ramos, Miguel
2009
Nonlinear Schrödinger equation: concentration on circles driven by an external magnetic field. Zbl 1362.35280
Bonheure, Denis; Cingolani, Silvia; Nys, Manon
2016
Eight(y) mathematical questions on fluids and structures. Zbl 1447.76016
Bonheure, Denis; Gazzola, Filippo; Sperone, Gianmarco
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
2019
Waveguide solutions for a nonlinear Schrödinger equation with mixed dispersion. Zbl 1334.35310
Bonheure, Denis; Nascimento, Robson
2015
Periodic solutions and torsional instability in a nonlinear nonlocal plate equation. Zbl 1437.35452
Bonheure, Denis; Gazzola, Filippo; Dos Santos, Ederson Moreira
2019
Heteroclinic solutions of the prescribed curvature equation with a double-well potential. Zbl 1313.34132
Bonheure, Denis; Obersnel, Franco; Omari, Pierpaolo
2013
Layered solutions with unbounded mass for the Keller-Segel equation. Zbl 1375.35096
Bonheure, Denis; Casteras, Jean-Baptiste; Noris, Benedetta
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
2017
Bounded and homoclinic-like solutions of a second-order singular differential equation. Zbl 1244.34029
Bonheure, Denis; Torres, Pedro J.
2012
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
2015
Concentration on circles for nonlinear Schrödinger-Poisson systems with unbounded potentials vanishing at infinity. Zbl 1250.35077
Bonheure, Denis; Di Cosmo, Jonathan; Mercuri, Carlo
2012
Heteroclinics for fourth order symmetric bistable equations. Zbl 1115.34040
Bonheure, D.; Habets, P.; Sanchez, L.
2004
On the Born-Infeld equation for electrostatic fields with a superposition of point charges. Zbl 1420.35395
Bonheure, Denis; Colasuonno, Francesca; Földes, Juraj
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
2018
On the regularity of the minimizer of the electrostatic Born-Infeld energy. Zbl 1411.49020
Bonheure, Denis; Iacopetti, Alessandro
2019
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
2016
Problems at resonance for equations with periodic nonlinearities. Zbl 1046.34034
Bonheure, D.; Fabry, C.; Ruiz, D.
2003
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
2009
Erratum to: “Multiple critical points of perturbed symmetric strongly indefinite functionals” [Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 2, 675–688 (2009)]. Zbl 1170.35383
Bonheure, Denis; Ramos, Miguel
2009
Unbounded solutions of forced isochronous oscillators at resonance. Zbl 1030.70011
Bonheure, D.; Fabry, C.
2002
On a fourth-order nonlinear Helmholtz equation. Zbl 1422.35068
Bonheure, Denis; Casteras, Jean-Baptiste; Mandel, Rainer
2019
On the multiplicity of nodal solutions of a prescribed mean curvature problem. Zbl 1281.35054
Bonheure, Denis; Derlet, Ann; De Valeriola, Sébastien
2013
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
2020
Equilibrium configuration of a rectangular obstacle immersed in a channel flow. Zbl 1455.35168
Bonheure, Denis; Galdi, Giovanni P.; Gazzola, Filippo
2020
Positive solutions of a second order singular ordinary differential equation. Zbl 1109.34310
Bonheure, D.; Gomes, J. M.; Sanchez, L.
2005
Littlewood’s problem for isochronous oscillators. Zbl 1194.34057
Bonheure, Denis; Fabry, Christian
2009
Qualitative properties of solutions to mixed-diffusion bistable equations. Zbl 1346.35070
Bonheure, Denis; Földes, Juraj; Saldaña, Alberto
2016
Strong instability of ground states to a fourth order Schrödinger equation. Zbl 1462.35347
Bonheure, Denis; Castéras, Jean-Baptiste; Gou, Tianxiang; Jeanjean, Louis
2019
Heteroclinic solutions of singular quasilinear bistable equations. Zbl 1375.34071
Bonheure, Denis; Coelho, Isabel; Nys, Manon
2017
Spacelike radial graphs of prescribed mean curvature in the Lorentz-Minkowski space. Zbl 1430.53008
Bonheure, Denis; Iacopetti, Alessandro
2019
A variational approach to resonance for asymmetric oscillators. Zbl 1137.34016
Bonheure, Denis; Fabry, Christian
2007
Heteroclinic solutions for a class of fourth order ordinary differential equations. Zbl 1192.34054
Bonheure, Denis
2006
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.
2017
Representation theorems for Sobolev spaces on intervals and multiplicity results for nonlinear ODEs. Zbl 1218.34022
Bonheure, Denis; dos Santos, Ederson Moreira
2010
Nonlinear elliptic partial differential equations. Workshop in celebration of Jean-Pierre Gossez’s 65th birthday, Bruxelles, Belgium, September 2–4, 2009. Zbl 1214.35002
2011
Optimal profiles in a phase-transition model with a saturating flux. Zbl 1327.35126
Bonheure, Denis; Obersnel, Franco
2015
Equilibrium measures and equilibrium potentials in the Born-Infeld model. Zbl 1440.35184
Bonheure, Denis; d’Avenia, Pietro; Pomponio, Alessio; Reichel, Wolfgang
2020
Singular radial solutions for the Keller-Segel equation in high dimension. Zbl 1442.35156
Bonheure, Denis; Casteras, Jean-Baptiste; Foldes, Juraj
2020
Multitransition connections for fourth order equations with a bistable nonlinearity. Zbl 1107.34327
Bonheure, Denis
2005
Inequalities involving Aharonov-Bohm magnetic potentials in dimensions $$2$$ and $$3$$. Zbl 07409790
Bonheure, Denis; Dolbeault, Jean; Esteban, Maria J.; Laptev, Ari; Loss, Michael
2021
Concentration phenomena for the Schrödinger-Poisson system in $$\mathbb{R}^2$$. Zbl 1480.35153
Bonheure, Denis; Cingolani, Silvia; Secchi, Simone
2021
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
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
2022
Inequalities involving Aharonov-Bohm magnetic potentials in dimensions $$2$$ and $$3$$. Zbl 07409790
Bonheure, Denis; Dolbeault, Jean; Esteban, Maria J.; Laptev, Ari; Loss, Michael
2021
Concentration phenomena for the Schrödinger-Poisson system in $$\mathbb{R}^2$$. Zbl 1480.35153
Bonheure, Denis; Cingolani, Silvia; Secchi, Simone
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
2020
Equilibrium configuration of a rectangular obstacle immersed in a channel flow. Zbl 1455.35168
Bonheure, Denis; Galdi, Giovanni P.; Gazzola, Filippo
2020
Equilibrium measures and equilibrium potentials in the Born-Infeld model. Zbl 1440.35184
Bonheure, Denis; d&rsquo;Avenia, Pietro; Pomponio, Alessio; Reichel, Wolfgang
2020
Singular radial solutions for the Keller-Segel equation in high dimension. Zbl 1442.35156
Bonheure, Denis; Casteras, Jean-Baptiste; Foldes, Juraj
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
2019
Eight(y) mathematical questions on fluids and structures. Zbl 1447.76016
Bonheure, Denis; Gazzola, Filippo; Sperone, Gianmarco
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
2019
Periodic solutions and torsional instability in a nonlinear nonlocal plate equation. Zbl 1437.35452
Bonheure, Denis; Gazzola, Filippo; Dos Santos, Ederson Moreira
2019
On the Born-Infeld equation for electrostatic fields with a superposition of point charges. Zbl 1420.35395
Bonheure, Denis; Colasuonno, Francesca; Földes, Juraj
2019
On the regularity of the minimizer of the electrostatic Born-Infeld energy. Zbl 1411.49020
Bonheure, Denis; Iacopetti, Alessandro
2019
On a fourth-order nonlinear Helmholtz equation. Zbl 1422.35068
Bonheure, Denis; Casteras, Jean-Baptiste; Mandel, Rainer
2019
Strong instability of ground states to a fourth order Schrödinger equation. Zbl 1462.35347
Bonheure, Denis; Castéras, Jean-Baptiste; Gou, Tianxiang; Jeanjean, Louis
2019
Spacelike radial graphs of prescribed mean curvature in the Lorentz-Minkowski space. Zbl 1430.53008
Bonheure, Denis; Iacopetti, Alessandro
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
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
2018
The logarithmic Choquard equation: sharp asymptotics and nondegeneracy of the groundstate. Zbl 1386.35052
Bonheure, Denis; Cingolani, Silvia; Van Schaftingen, Jean
2017
Multiple positive solutions of the stationary Keller-Segel system. Zbl 1375.35097
Bonheure, Denis; Casteras, Jean-Baptiste; Noris, Benedetta
2017
Layered solutions with unbounded mass for the Keller-Segel equation. Zbl 1375.35096
Bonheure, Denis; Casteras, Jean-Baptiste; Noris, Benedetta
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
2017
Heteroclinic solutions of singular quasilinear bistable equations. Zbl 1375.34071
Bonheure, Denis; Coelho, Isabel; Nys, Manon
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.
2017
On the electrostatic Born-Infeld equation with extended charges. Zbl 1365.35170
Bonheure, Denis; d&rsquo;Avenia, Pietro; Pomponio, Alessio
2016
Multiple radial positive solutions of semilinear elliptic problems with Neumann boundary conditions. Zbl 1354.35041
Bonheure, Denis; Grumiau, Christopher; Troestler, Christophe
2016
Multi-layer radial solutions for a supercritical Neumann problem. Zbl 1341.35061
Bonheure, Denis; Grossi, Massimo; Noris, Benedetta; Terracini, Susanna
2016
Nonlinear Schrödinger equation: concentration on circles driven by an external magnetic field. Zbl 1362.35280
Bonheure, Denis; Cingolani, Silvia; Nys, Manon
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
2016
Qualitative properties of solutions to mixed-diffusion bistable equations. Zbl 1346.35070
Bonheure, Denis; Földes, Juraj; Saldaña, Alberto
2016
Waveguide solutions for a nonlinear Schrödinger equation with mixed dispersion. Zbl 1334.35310
Bonheure, Denis; Nascimento, Robson
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
2015
Optimal profiles in a phase-transition model with a saturating flux. Zbl 1327.35126
Bonheure, Denis; Obersnel, Franco
2015
Hamiltonian elliptic systems: a guide to variational frameworks. Zbl 1326.35126
Bonheure, D.; dos Santos, Ederson Moreira; Tavares, Hugo
2014
Radial positive solutions of elliptic systems with Neumann boundary conditions. Zbl 1285.35030
Bonheure, Denis; Serra, Enrico; Tilli, Paolo
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
2013
Heteroclinic solutions of the prescribed curvature equation with a double-well potential. Zbl 1313.34132
Bonheure, Denis; Obersnel, Franco; Omari, Pierpaolo
2013
On the multiplicity of nodal solutions of a prescribed mean curvature problem. Zbl 1281.35054
Bonheure, Denis; Derlet, Ann; De Valeriola, Sébastien
2013
Ground state and non-ground state solutions of some strongly coupled elliptic systems. Zbl 1250.35093
Bonheure, Denis; Dos Santos, Ederson Moreira; Ramos, Miguel
2012
Increasing radial solutions for Neumann problems without growth restrictions. Zbl 1248.35079
Bonheure, Denis; Noris, Benedetta; Weth, Tobias
2012
Infinitely many radial solutions of a mean curvature equation in Lorentz-Minkowski space. Zbl 1268.35068
Bonheure, Denis; de Coster, Colette; Derlet, Ann
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
2012
Bounded and homoclinic-like solutions of a second-order singular differential equation. Zbl 1244.34029
Bonheure, Denis; Torres, Pedro J.
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
2012
Embedding theorems and existence results for nonlinear Schrödinger-Poisson systems with unbounded and vanishing potentials. Zbl 1223.35130
Bonheure, Denis; Mercuri, Carlo
2011
Multiple positive radial solutions on annuli for nonlinear Neumann problems with large growth. Zbl 1216.35048
Bonheure, Denis; Serra, Enrico
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
2011
Groundstates for the nonlinear Schrödinger equation with potential vanishing at infinity. Zbl 1189.35059
Bonheure, Denis; Van Schaftingen, Jean
2010
Representation theorems for Sobolev spaces on intervals and multiplicity results for nonlinear ODEs. Zbl 1218.34022
Bonheure, Denis; dos Santos, Ederson Moreira
2010
Multiple critical points of perturbed symmetric strongly indefinite functionals. Zbl 1163.35013
Bonheure, Denis; Ramos, Miguel
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
2009
Erratum to: “Multiple critical points of perturbed symmetric strongly indefinite functionals” [Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 2, 675–688 (2009)]. Zbl 1170.35383
Bonheure, Denis; Ramos, Miguel
2009
Littlewood’s problem for isochronous oscillators. Zbl 1194.34057
Bonheure, Denis; Fabry, Christian
2009
Bound state solutions for a class of nonlinear Schrödinger equations. Zbl 1156.35084
Bonheure, Denis; van Schaftingen, Jean
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
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
2008
Classical and non-classical solutions of a prescribed curvature equation. Zbl 1136.34023
Bonheure, Denis; Habets, Patrick; Obersnel, Franco; Omari, Pierpaolo
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.
2007
A variational approach to resonance for asymmetric oscillators. Zbl 1137.34016
Bonheure, Denis; Fabry, Christian
2007
Nonlinear Schrödinger equations with potentials vanishing at infinity. Zbl 1099.35127
Bonheure, Denis; van Schaftingen, Jean
2006
Heteroclinic solutions for a class of fourth order ordinary differential equations. Zbl 1192.34054
Bonheure, Denis
2006
Multiple positive solutions of superlinear elliptic problems with sign-changing weight. Zbl 1210.35089
Bonheure, Denis; Gomes, José Maria; Habets, Patrick
2005
Positive solutions of a second-order singular ordinary differential equation. Zbl 1082.34019
Bonheure, D.; Gomes, J. M.; Sanchez, L.
2005
Positive solutions of a second order singular ordinary differential equation. Zbl 1109.34310
Bonheure, D.; Gomes, J. M.; Sanchez, L.
2005
Multitransition connections for fourth order equations with a bistable nonlinearity. Zbl 1107.34327
Bonheure, Denis
2005
Multitransition kinks and pulses for fourth order equations with a bistable nonlinearity. Zbl 1073.34044
Bonheure, Denis
2004
Heteroclinics for fourth order symmetric bistable equations. Zbl 1115.34040
Bonheure, D.; Habets, P.; Sanchez, L.
2004
Forced singular oscillators and the method of lower and upper solutions. Zbl 1108.34033
Bonheure, Denis; De Coster, Colette
2003
Heteroclinic connections between nonconsecutive equilibria of a fourth order differential equation. Zbl 1031.34043
Bonheure, D.; Sanchez, L.; Tarallo, M.; Terracini, S.
2003
Problems at resonance for equations with periodic nonlinearities. Zbl 1046.34034
Bonheure, D.; Fabry, C.; Ruiz, D.
2003
Periodic solutions of forced isochronous oscillators at resonance. Zbl 1021.34032
Bonheure, D.; Fabry, C.; Smets, D.
2002
Periodic motions in impact oscillators with perfectly elastic bounces. Zbl 1019.34044
Bonheure, D.; Fabry, C.
2002
Unbounded solutions of forced isochronous oscillators at resonance. Zbl 1030.70011
Bonheure, D.; Fabry, C.
2002
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### Cited by 641 Authors

 42 Bonheure, Denis 17 Boscaggin, Alberto 15 Omari, Pierpaolo 14 Moreira dos Santos, Ederson 14 Van Schaftingen, Jean 12 Chu, Jifeng 12 Figueiredo, Giovany Malcher 12 Gazzola, Filippo 11 Feltrin, Guglielmo 10 Ma, Ruyun 10 Noris, Benedetta 10 Pan, Hongjing 10 Tang, Xianhua 9 Colasuonno, Francesca 9 Qian, Dingbian 9 Rachůnková, Irena 9 Xing, Ruixiang 8 Alves, Claudianor Oliveira 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 Rădulescu, Vicenţiu D. 6 Corsato, Chiara 6 De Coster, Colette 6 Feng, Meiqiang 6 Jeanjean, Louis 6 Li, Shengjun 6 Mercuri, Carlo 6 Obersnel, Franco 6 Sfecci, Andrea 6 Sovrano, Elisa 6 Tavares, Hugo 6 Torres, Pedro José 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 López-Gómez, Julián 5 Miyagaki, Olimpio Hiroshi 5 Moameni, Abbas 5 Moroz, Vitaly 5 Ramos, Miguel 5 Saldaña, Alberto 5 Wu, Xian 5 Zhang, Jianjun 4 Barile, Sara 4 Chen, Haibo 4 Chen, Shaowei 4 Chen, Tianlan 4 Cingolani, Silvia 4 d’Avenia, Pietro 4 Deng, Shengfu 4 Di Cosmo, Jonathan 4 Furtado, Marcelo Fernandes 4 Liu, Bin 4 Liu, Hongliang 4 Liu, Qihuai 4 Lu, Yanqiong 4 Mawhin, Jean L. 4 Peng, Shuangjie 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 Ubilla, Pedro 4 Wang, Jun 4 Wang, Zaihong 4 Wang, Zhiguo 4 Zhang, Zhitao 4 Zou, Wenming 3 Amadori, Anna Lisa 3 Ambrosio, Vincenzo 3 An, Xiaoming 3 Bhakta, Mousomi 3 Carvalho, Jonison L. 3 Chen, Sitong 3 Cheng, Yan-Hsiou 3 Guedes de Figueiredo, Djairo 3 Deng, Yinbin 3 Esteban, Maria J. 3 Falocchi, Alessio 3 Gao, Hongliang 3 Gou, Tianxiang 3 Hung, Kuo-Chih 3 Iacopetti, Alessandro 3 Isernia, Teresa 3 Li, Xiong ...and 541 more Authors
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### Cited in 132 Serials

 57 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 48 Journal of Differential Equations 41 Journal of Mathematical Analysis and Applications 25 Calculus of Variations and Partial Differential Equations 25 Boundary Value Problems 21 NoDEA. Nonlinear Differential Equations and Applications 16 Advanced Nonlinear Studies 15 Discrete and Continuous Dynamical Systems 14 Communications in Contemporary Mathematics 12 Communications on Pure and Applied Analysis 11 Annali di Matematica Pura ed Applicata. Serie Quarta 10 Journal of Mathematical Physics 10 Nonlinearity 10 Nonlinear Analysis. Real World Applications 10 Advances in Difference Equations 9 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 7 Transactions of the American Mathematical Society 7 Applied Mathematics Letters 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 Complex Variables and Elliptic Equations 7 Discrete and Continuous Dynamical Systems. Series S 7 Advances in Nonlinear Analysis 6 Journal of Functional Analysis 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 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Archiv der Mathematik 4 Proceedings of the American Mathematical Society 4 Chinese Annals of Mathematics. Series B 4 Abstract and Applied Analysis 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Applicable Analysis 3 Archive for Rational Mechanics and Analysis 3 Communications in Mathematical Physics 3 Mathematical Methods in the Applied Sciences 3 Acta Mathematicae Applicatae Sinica. English Series 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 Asymptotic Analysis 2 European Journal of Applied Mathematics 2 The Journal of Geometric Analysis 2 SIAM Journal on Mathematical Analysis 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 Analysis and Mathematical Physics 2 Journal of Function Spaces 2 Open Mathematics 1 Bulletin of the Australian Mathematical Society 1 Classical and Quantum Gravity 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 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 1 Indagationes Mathematicae. New Series 1 Computational and Applied Mathematics 1 Turkish Journal of Mathematics 1 Opuscula Mathematica 1 Advances in Differential Equations ...and 32 more Serials
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### Cited in 29 Fields

 388 Partial differential equations (35-XX) 200 Ordinary differential equations (34-XX) 75 Operator theory (47-XX) 37 Global analysis, analysis on manifolds (58-XX) 34 Dynamical systems and ergodic theory (37-XX) 32 Functional analysis (46-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 15 Fluid mechanics (76-XX) 14 Differential geometry (53-XX) 14 Quantum theory (81-XX) 13 Difference and functional equations (39-XX) 11 Mechanics of deformable solids (74-XX) 11 Optics, electromagnetic theory (78-XX) 9 Mechanics of particles and systems (70-XX) 7 Potential theory (31-XX) 6 Numerical analysis (65-XX) 5 Real functions (26-XX) 5 Integral equations (45-XX) 5 Statistical mechanics, structure of matter (82-XX) 3 Computer science (68-XX) 3 Relativity and gravitational theory (83-XX) 3 Biology and other natural sciences (92-XX) 1 Combinatorics (05-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 General topology (54-XX) 1 Algebraic topology (55-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)