This page needs an update, soon or later.
Submitted
Denis Bonheure, Jonathan Di Cosmo et Jean Van Schaftingen, Nonlinear Schr\"odinger equation with unbounded or vanishing potentials : solutions concentrating on k-dimensional spheres.
Denis Bonheure et Carlo Mercuri, Embedding theorems and existence results for nonlinear Schr\"odinger-Poisson systems with unbounded and vanishing potentials.
Denis Bonheure, Jonathan Di Cosmo et Carlo Mercuri, Concentration on circles for nonlinear Schr\"odinger-Poisson systems with unbounded potentials vanishing at infinity.
Denis Bonheure et Pedro J. Torres, Bounded and homoclinic solutions of a second order singular differential equation.
In progress
Denis Bonheure, Ederson Moreira dos Santos et Miguel Ramos, The Hénon problem for the Lane-Emden elliptic system, almost finished.
Denis Bonheure, Ann Derlet et Sébastien De Valeriola, Nodal solutions for the mean curvature equation on a general domain, almost finished.
Denis Bonheure, Benedetta Noris et Tobias Weth, Positive radial solutions on balls for nonlinear Neumann problems with supercritical growth, in progress.
Papers
Denis Bonheure et Enrico Serra, Multiple positive radial solutions on annuli for nonlinear Neumann problems with large growth, NODEA, in press.
Denis Bonheure, Ederson Moreira dos Santos et Miguel Ramos, Ground state and non ground state solutions of some strongly coupled elliptic systems, Transactions of AMS, in press.
Denis Bonheure et Ederson Moreira dos Santos, Representation theorems for Sobolev spaces on intervals and multiplicity results for nonlinear ODEs, J. Differential Equations, doi:10.1016/j.jde.2010.08.014
Denis Bonheure et Jean Van Schaftingen, Groundstates for the nonlinear Schrödinger equation with potential vanishing at infinity,
Annali di Matematica Pura ed Applicata 189 (2010) 273--301.Denis Bonheure et Christian Fabry, Littlewood's problem for isochronous oscillators, Archiv. Der Mat. 93 (2010) Number 4, 379--388.
Denis Bonheure, Vincent Bouchez et Christopher Grumiau, Asymptotics and symmetries of ground-state and least energy nodal solutions for boundary value problems with slowly growing superlinearities, Differential and Integral Equations 22, 9-10 (2009), 1047-1074.
Denis Bonheure et Miguel Ramos, Erratum to ``Multiple critical points of perturbed symmetric strongly indefinite functionals'', Ann. I. H. Poincaré -- AN 26 (2009) 1049--1054
Denis Bonheure et Miguel Ramos, Multiple critical points of perturbed symmetric strongly indefinite functionals, Ann. I. H. Poincaré -- AN 26 (2009) 675--688
Denis Bonheure, Vincent Bouchez, Christopher Grumiau et Jean Van Schaftingen, Asymptotics and symmetries of least energy nodal solutions of Lane--Emden problems with slow growth, Comm. Contemp. Math. 10, No. 4 (2008), 1--23
Denis Bonheure, Enrico Serra et Massimo Tarallo, Symmetry of optimal functions in Moser-Trudinger inequalities and a Hénon type problem in dimension two, Advances in Diff. Eq. 13, 1-2 (2008), 105--138
Denis Bonheure et Jean Van Schaftingen, Bound state solutions for a class of nonlinear Schrödinger equations, Revista Matematica Iberoamericana, 24 (2008), no. 1, 297--351
Denis Bonheure, Patrick Habets, Franco Obersnel et Pierpaolo Omari, Classical and non-classical positive solutions of a prescribed curvature equation with singularities, Rend. Istit. Mat. Univ. Trieste Vol. XXXIX (2007), 63--85
Denis Bonheure, Patrick Habets, Franco Obersnel et Pierpaolo Omari, Classical and non-classical solutions of a prescribed curvature equation, J. Differential Equations, 243 (2007) 208-237
Denis Bonheure et Christian Fabry, A Variational approach to resonance for assymmetric oscillators, Communications on Pure and Applied Analysis 6 (2007), 163-181
Denis Bonheure et Jean Van Schaftingen, Nonlinear Schrödinger equations with potentials vanishing at infinity, C. R. Acad. Sci. Paris, Ser. I 342 (2006), 903-908
Denis Bonheure, Jos\'e-Maria Gomes et Lu\'\is Sanchez, Positive solutions of a second order singular ordinary differential equation, Nonlinear Analysis 61 (2005),
1383--1399Denis Bonheure, Jos\'e-Maria Gomes et Patrick Habets, Multiple positive solutions of superlinear elliptic problems with sign-chan\-ging weight, J. Differential Equations 214 (2005), 36--64
Denis Bonheure, Patrick Habets et Lu\'\is Sanchez, Heteroclinics for fourth order symmetric bistable equations, Atti Sem. Mat. Fis. Univ. Modena e Reggio Emilia 52 (2004), 213--227
Denis Bonheure, Multitransition kinks and pulses for fourth \mboxorder equations with a bistable nonlinearity, Ann. Inst. Henri Poincar\'e Analyse non lin\'eaire 21 (2004), no. 3, 319--340
Denis Bonheure et Colette De Coster, Forced singular oscillators and the method of lower and upper solutions, Topol. Methods Nonlinear Anal 22 (2003), no. 2, 297--318
Denis Bonheure, Christian Fabry et David Ruiz, Problems at resonance for equations with periodic nonlinearities, Nonlinear Analysis 55 (2003), no. 5, 557--581
Denis Bonheure, Lu\'\is Sanchez, Massimo Tarallo et Susanna Terracini, Heteroclinic connections between nonconsecutive equilibria of a fourth order differential equation, Calc. Var. Partial Differential Equations 17 (2003), no. 4, 341--356
Denis Bonheure, Christian Fabry et Didier Smets, Periodic solutions of forced isochronous oscillators at resonance, Discrete Contin. Dyn. Syst. 8 (2002), no. 4, 907--930
Denis Bonheure et Christian Fabry, Unbounded solutions of forced iso\-chronous oscillators at resonance, Differential and Integral Equations 15 (2002), no. 9, 1139-1152
Denis Bonheure et Christian Fabry, Periodic motions in impact oscillators with perfectly elastic bounces, Nonlinearity 15 (2002), no.~4, 1281-1297
Denis Bonheure, Francis Buekenhout et Dimitri Leemans, On the Petrials of thin rank $3$ geometries, J. Geom. 71 (2001), no. 1-2, 19-25
Book
Denis Bonheure, Heteroclinic Solutions for a Class of Fourth Order Ordinary Differential Equations, Académie Royale de Belgique XXIII (2006), 188 pages
Book chaptersDenis Bonheure et Michel Willem, Systèmes Hamiltoniens : un aper\c cu variationnel, Encyclopédie des Techniques de l'Ingénieur (Paris), Dossier n°A160 \textscMathématiques Fondamentales.
Denis Bonheure et Luís Sanchez, Heteroclinic orbits for some classes of second and fourth order differential equations, Handbook of Differential Equations Vol. III, Ed. A. Cañada, P. Drabek, A. Fonda, Elsevier Science (2006) 103-202
Proceedings
Denis Bonheure, Jos\'e-Maria Gomes et Patrick Habets, Multiple positive solutions of superlinear elliptic problems with sign-chan\-ging weight, Differential \& difference equations and applications, Florida Institute of Technology, Melbourne August 1--5 2005, Hindawi Publ. Corp., 221--229
Denis Bonheure, Multitransition connections for fourth order equations with a bistable nonlinearity, International Conference on Differential Equations (Equadiff 2003), Hasselt-Belgium July 22-26, World Scientific Publishing 2005, 230--233
Denis Bonheure, Jos\'e-Maria Gomes et Lu\'\is Sanchez, Posi\-tive solutions of a second order singular ordinary differential equation, International Conference on Differential Equations (Equadiff 2003), Hasselt-Belgium July 22-26, World Scientific Publishing 2005, 234--236
Denis Bonheure, Christian Fabry et Didier Smets, On a class of forced nonlinear oscillators at resonance, Equadiff 10 CD-Rom Proceedings Prague 2001, 37--43
In Pdf (more soon or later, or just ask by email)
Multiple critical points of perturbed symmetric strongly indefinite functionals, Annales de l’Institut Henri Poincaré - Analyse non linéaire (2008), doi: 10.1016/j.anihpc.2008.06.002
Bound state solutions for a class of nonlinear Schrödinger equations, Rev. Mat. Iberoamericana 24 (2008), no. 1, 297–351.
Systèmes Hamiltoniens : un aperçu variationnel, to appear in Les Techniques de l'Ingénieur, Dossier AF230.