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Author ID: bonheure.denis Recent zbMATH articles by "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
all top 5

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

Publications by Year

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
73
2007
Forced singular oscillators and the method of lower and upper solutions. Zbl 1108.34033
Bonheure, Denis; De Coster, Colette
37
2003
Bound state solutions for a class of nonlinear Schrödinger equations. Zbl 1156.35084
Bonheure, Denis; van Schaftingen, Jean
36
2008
Groundstates for the nonlinear Schrödinger equation with potential vanishing at infinity. Zbl 1189.35059
Bonheure, Denis; Van Schaftingen, Jean
34
2010
On the electrostatic Born-Infeld equation with extended charges. Zbl 1365.35170
Bonheure, Denis; d’Avenia, Pietro; Pomponio, Alessio
33
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.
31
2007
Multiple positive solutions of superlinear elliptic problems with sign-changing weight. Zbl 1210.35089
Bonheure, Denis; Gomes, José Maria; Habets, Patrick
29
2005
Embedding theorems and existence results for nonlinear Schrödinger-Poisson systems with unbounded and vanishing potentials. Zbl 1223.35130
Bonheure, Denis; Mercuri, Carlo
29
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
28
2012
Hamiltonian elliptic systems: a guide to variational frameworks. Zbl 1326.35126
Bonheure, D.; dos Santos, Ederson Moreira; Tavares, Hugo
26
2014
Increasing radial solutions for Neumann problems without growth restrictions. Zbl 1248.35079
Bonheure, Denis; Noris, Benedetta; Weth, Tobias
26
2012
Periodic solutions of forced isochronous oscillators at resonance. Zbl 1021.34032
Bonheure, D.; Fabry, C.; Smets, D.
24
2002
Multiple radial positive solutions of semilinear elliptic problems with Neumann boundary conditions. Zbl 1354.35041
Bonheure, Denis; Grumiau, Christopher; Troestler, Christophe
24
2016
The logarithmic Choquard equation: sharp asymptotics and nondegeneracy of the groundstate. Zbl 1386.35052
Bonheure, Denis; Cingolani, Silvia; Van Schaftingen, Jean
20
2017
Periodic motions in impact oscillators with perfectly elastic bounces. Zbl 1019.34044
Bonheure, D.; Fabry, C.
18
2002
Multi-layer radial solutions for a supercritical Neumann problem. Zbl 1341.35061
Bonheure, Denis; Grossi, Massimo; Noris, Benedetta; Terracini, Susanna
16
2016
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
Radial positive solutions of elliptic systems with Neumann boundary conditions. Zbl 1285.35030
Bonheure, Denis; Serra, Enrico; Tilli, Paolo
14
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
14
2018
Infinitely many radial solutions of a mean curvature equation in Lorentz-Minkowski space. Zbl 1268.35068
Bonheure, Denis; de Coster, Colette; Derlet, Ann
13
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
12
2019
Multiple positive solutions of the stationary Keller-Segel system. Zbl 1375.35097
Bonheure, Denis; Casteras, Jean-Baptiste; Noris, Benedetta
12
2017
Multitransition kinks and pulses for fourth order equations with a bistable nonlinearity. Zbl 1073.34044
Bonheure, Denis
12
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
12
2008
Multiple positive radial solutions on annuli for nonlinear Neumann problems with large growth. Zbl 1216.35048
Bonheure, Denis; Serra, Enrico
12
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
12
2013
Nonlinear Schrödinger equations with potentials vanishing at infinity. Zbl 1099.35127
Bonheure, Denis; van Schaftingen, Jean
12
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
11
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
10
2008
Multiple critical points of perturbed symmetric strongly indefinite functionals. Zbl 1163.35013
Bonheure, Denis; Ramos, Miguel
9
2009
Nonlinear Schrödinger equation: concentration on circles driven by an external magnetic field. Zbl 1362.35280
Bonheure, Denis; Cingolani, Silvia; Nys, Manon
8
2016
Eight(y) mathematical questions on fluids and structures. Zbl 1447.76016
Bonheure, Denis; Gazzola, Filippo; Sperone, Gianmarco
8
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
8
2019
Waveguide solutions for a nonlinear Schrödinger equation with mixed dispersion. Zbl 1334.35310
Bonheure, Denis; Nascimento, Robson
8
2015
Periodic solutions and torsional instability in a nonlinear nonlocal plate equation. Zbl 1437.35452
Bonheure, Denis; Gazzola, Filippo; Dos Santos, Ederson Moreira
8
2019
Heteroclinic solutions of the prescribed curvature equation with a double-well potential. Zbl 1313.34132
Bonheure, Denis; Obersnel, Franco; Omari, Pierpaolo
7
2013
Layered solutions with unbounded mass for the Keller-Segel equation. Zbl 1375.35096
Bonheure, Denis; Casteras, Jean-Baptiste; Noris, Benedetta
7
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
7
2017
Bounded and homoclinic-like solutions of a second-order singular differential equation. Zbl 1244.34029
Bonheure, Denis; Torres, Pedro J.
7
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
7
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
6
2012
Heteroclinics for fourth order symmetric bistable equations. Zbl 1115.34040
Bonheure, D.; Habets, P.; Sanchez, L.
6
2004
On the Born-Infeld equation for electrostatic fields with a superposition of point charges. Zbl 1420.35395
Bonheure, Denis; Colasuonno, Francesca; Földes, Juraj
5
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
5
2018
On the regularity of the minimizer of the electrostatic Born-Infeld energy. Zbl 1411.49020
Bonheure, Denis; Iacopetti, Alessandro
5
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
4
2016
Problems at resonance for equations with periodic nonlinearities. Zbl 1046.34034
Bonheure, D.; Fabry, C.; Ruiz, D.
4
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
4
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
4
2009
Unbounded solutions of forced isochronous oscillators at resonance. Zbl 1030.70011
Bonheure, D.; Fabry, C.
3
2002
On a fourth-order nonlinear Helmholtz equation. Zbl 1422.35068
Bonheure, Denis; Casteras, Jean-Baptiste; Mandel, Rainer
3
2019
On the multiplicity of nodal solutions of a prescribed mean curvature problem. Zbl 1281.35054
Bonheure, Denis; Derlet, Ann; De Valeriola, Sébastien
3
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
3
2020
Equilibrium configuration of a rectangular obstacle immersed in a channel flow. Zbl 1455.35168
Bonheure, Denis; Galdi, Giovanni P.; Gazzola, Filippo
3
2020
Positive solutions of a second order singular ordinary differential equation. Zbl 1109.34310
Bonheure, D.; Gomes, J. M.; Sanchez, L.
3
2005
Littlewood’s problem for isochronous oscillators. Zbl 1194.34057
Bonheure, Denis; Fabry, Christian
3
2009
Qualitative properties of solutions to mixed-diffusion bistable equations. Zbl 1346.35070
Bonheure, Denis; Földes, Juraj; Saldaña, Alberto
3
2016
Strong instability of ground states to a fourth order Schrödinger equation. Zbl 1462.35347
Bonheure, Denis; Castéras, Jean-Baptiste; Gou, Tianxiang; Jeanjean, Louis
3
2019
Heteroclinic solutions of singular quasilinear bistable equations. Zbl 1375.34071
Bonheure, Denis; Coelho, Isabel; Nys, Manon
2
2017
Spacelike radial graphs of prescribed mean curvature in the Lorentz-Minkowski space. Zbl 1430.53008
Bonheure, Denis; Iacopetti, Alessandro
2
2019
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
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
Representation theorems for Sobolev spaces on intervals and multiplicity results for nonlinear ODEs. Zbl 1218.34022
Bonheure, Denis; dos Santos, Ederson Moreira
1
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
1
2011
Optimal profiles in a phase-transition model with a saturating flux. Zbl 1327.35126
Bonheure, Denis; Obersnel, Franco
1
2015
Equilibrium measures and equilibrium potentials in the Born-Infeld model. Zbl 1440.35184
Bonheure, Denis; d’Avenia, Pietro; Pomponio, Alessio; Reichel, Wolfgang
1
2020
Singular radial solutions for the Keller-Segel equation in high dimension. Zbl 1442.35156
Bonheure, Denis; Casteras, Jean-Baptiste; Foldes, Juraj
1
2020
Multitransition connections for fourth order equations with a bistable nonlinearity. Zbl 1107.34327
Bonheure, Denis
1
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
1
2021
Concentration phenomena for the Schrödinger-Poisson system in \(\mathbb{R}^2\). Zbl 1480.35153
Bonheure, Denis; Cingolani, Silvia; Secchi, Simone
1
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
1
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
1
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
1
2021
Concentration phenomena for the Schrödinger-Poisson system in \(\mathbb{R}^2\). Zbl 1480.35153
Bonheure, Denis; Cingolani, Silvia; Secchi, Simone
1
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 configuration of a rectangular obstacle immersed in a channel flow. Zbl 1455.35168
Bonheure, Denis; Galdi, Giovanni P.; Gazzola, Filippo
3
2020
Equilibrium measures and equilibrium potentials in the Born-Infeld model. Zbl 1440.35184
Bonheure, Denis; d’Avenia, Pietro; Pomponio, Alessio; Reichel, Wolfgang
1
2020
Singular radial solutions for the Keller-Segel equation in high dimension. Zbl 1442.35156
Bonheure, 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 1420.35343
Bonheure, Denis; Casteras, Jean-Baptiste; Gou, Tianxiang; Jeanjean, Louis
12
2019
Eight(y) mathematical questions on fluids and structures. Zbl 1447.76016
Bonheure, Denis; Gazzola, Filippo; Sperone, Gianmarco
8
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
8
2019
Periodic solutions and torsional instability in a nonlinear nonlocal plate equation. Zbl 1437.35452
Bonheure, Denis; Gazzola, Filippo; Dos Santos, Ederson Moreira
8
2019
On the Born-Infeld equation for electrostatic fields with a superposition of point charges. Zbl 1420.35395
Bonheure, Denis; Colasuonno, Francesca; Földes, Juraj
5
2019
On the regularity of the minimizer of the electrostatic Born-Infeld energy. Zbl 1411.49020
Bonheure, Denis; Iacopetti, Alessandro
5
2019
On a fourth-order nonlinear Helmholtz equation. Zbl 1422.35068
Bonheure, Denis; Casteras, Jean-Baptiste; Mandel, Rainer
3
2019
Strong instability of ground states to a fourth order Schrödinger equation. Zbl 1462.35347
Bonheure, Denis; Castéras, Jean-Baptiste; Gou, Tianxiang; Jeanjean, Louis
3
2019
Spacelike radial graphs of prescribed mean curvature in the Lorentz-Minkowski space. Zbl 1430.53008
Bonheure, Denis; Iacopetti, Alessandro
2
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
14
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
5
2018
The logarithmic Choquard equation: sharp asymptotics and nondegeneracy of the groundstate. Zbl 1386.35052
Bonheure, Denis; Cingolani, Silvia; Van Schaftingen, Jean
20
2017
Multiple positive solutions of the stationary Keller-Segel system. Zbl 1375.35097
Bonheure, Denis; Casteras, Jean-Baptiste; Noris, Benedetta
12
2017
Layered solutions with unbounded mass for the Keller-Segel equation. Zbl 1375.35096
Bonheure, Denis; Casteras, Jean-Baptiste; Noris, Benedetta
7
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
7
2017
Heteroclinic solutions of singular quasilinear bistable equations. Zbl 1375.34071
Bonheure, Denis; Coelho, Isabel; Nys, Manon
2
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
33
2016
Multiple radial positive solutions of semilinear elliptic problems with Neumann boundary conditions. Zbl 1354.35041
Bonheure, Denis; Grumiau, Christopher; Troestler, Christophe
24
2016
Multi-layer radial solutions for a supercritical Neumann problem. Zbl 1341.35061
Bonheure, Denis; Grossi, Massimo; Noris, Benedetta; Terracini, Susanna
16
2016
Nonlinear Schrödinger equation: concentration on circles driven by an external magnetic field. Zbl 1362.35280
Bonheure, Denis; Cingolani, Silvia; Nys, Manon
8
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
4
2016
Qualitative properties of solutions to mixed-diffusion bistable equations. Zbl 1346.35070
Bonheure, Denis; Földes, Juraj; Saldaña, Alberto
3
2016
Waveguide solutions for a nonlinear Schrödinger equation with mixed dispersion. Zbl 1334.35310
Bonheure, Denis; Nascimento, Robson
8
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
7
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
26
2014
Radial positive solutions of elliptic systems with Neumann boundary conditions. Zbl 1285.35030
Bonheure, Denis; Serra, Enrico; Tilli, Paolo
14
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
12
2013
Heteroclinic solutions of the prescribed curvature equation with a double-well potential. Zbl 1313.34132
Bonheure, Denis; Obersnel, Franco; Omari, Pierpaolo
7
2013
On the multiplicity of nodal solutions of a prescribed mean curvature problem. Zbl 1281.35054
Bonheure, Denis; Derlet, Ann; De Valeriola, Sébastien
3
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
28
2012
Increasing radial solutions for Neumann problems without growth restrictions. Zbl 1248.35079
Bonheure, Denis; Noris, Benedetta; Weth, Tobias
26
2012
Infinitely many radial solutions of a mean curvature equation in Lorentz-Minkowski space. Zbl 1268.35068
Bonheure, Denis; de Coster, Colette; Derlet, Ann
13
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
11
2012
Bounded and homoclinic-like solutions of a second-order singular differential equation. Zbl 1244.34029
Bonheure, Denis; Torres, Pedro J.
7
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
6
2012
Embedding theorems and existence results for nonlinear Schrödinger-Poisson systems with unbounded and vanishing potentials. Zbl 1223.35130
Bonheure, Denis; Mercuri, Carlo
29
2011
Multiple positive radial solutions on annuli for nonlinear Neumann problems with large growth. Zbl 1216.35048
Bonheure, Denis; Serra, Enrico
12
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
34
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
9
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” [Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 2, 675–688 (2009)]. Zbl 1170.35383
Bonheure, Denis; Ramos, Miguel
4
2009
Littlewood’s problem for isochronous oscillators. Zbl 1194.34057
Bonheure, Denis; Fabry, Christian
3
2009
Bound state solutions for a class of nonlinear Schrödinger equations. Zbl 1156.35084
Bonheure, Denis; van Schaftingen, Jean
36
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
10
2008
Classical and non-classical solutions of a prescribed curvature equation. Zbl 1136.34023
Bonheure, Denis; Habets, Patrick; Obersnel, Franco; Omari, Pierpaolo
73
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.
31
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
12
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
29
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
37
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.
24
2002
Periodic motions in impact oscillators with perfectly elastic bounces. Zbl 1019.34044
Bonheure, D.; Fabry, C.
18
2002
Unbounded solutions of forced isochronous oscillators at resonance. Zbl 1030.70011
Bonheure, D.; Fabry, C.
3
2002
all top 5

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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