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Publication list of Denis Bonheure

Last preprints available on arXiv.org

Published papers
D.B., Jean-Baptiste Castéras, Juraj Földes, Singular solutions for the static Keller-Segel system, to appear in Journal de mathématiques pures and appliquées
D.B., Hussein Cheikh Ali, Robson Nascimento, A Paneitz-Branson type equation with Neumann boundary conditions, to appear in Advances in Calculus of Variations
D.B., Jean Dolbeault, Maria Esteban, Ari Laptev, Michael Loss. Symmetry results in two-dimensional inequalities for Aharonov-Bohm magnetic fields, Communications in Mathematical Physics (2019), https://doi.org/10.1007/s00220-019-03560-y
D.B., Filippo Gazzola, Ederson Moreira dos Santos, Periodic solutions and torsional instability in a nonlinear nonlocal plate equation, SIAM J. Math. Anal. 51(4) (2019), 3052-3091
D.B., Alessandro Iacopetti, Spacelike radial graphs of prescribed mean curvature in the Lorentz-Minkowski space, Analysis & PDE 12-7 (2019), 1805-1842
D.B., Jean-Baptiste Castéras, Tianxiang Gou, Louis Jeanjean, Normalized solutions to the mixed dispersion nonlinear Schrödinger equation in the mass critical and supercritical regime, Transactions of the American Mathematical Society 372 (2019) 2167-2212
D.B., Jean-Baptiste Casteras, Rainer Mandel, On a fourth order nonlinear Helmholtz equation, Journal of the London Math. Society 99 (2019) 831-852
D.B., Alessandro Iacopetti, On the regularity of minimizers for the Born-Infeld electrostatic model, Arch. Rat. Mech. and Analysis 232 (2019) 697-725
D.B., Manon Nys and Jean Van Schaftingen, Groundstates of nonlinear Schrödinger equations with constant magnetic field, Journal de mathématiques pures and appliquées 124 (2019) 123-168
D.B., Francesca Colasuonno, Juraj Földes, On the Born-Infeld equation for electrostatic fields with a superposition of point charges, Ann. Mat. Pura ed Applicata 198 (2019), Issue 3, 749-772
D.B., Jean-Baptiste Castéras, Tianxiang Gou, Louis Jeanjean, Strong Instability of Ground States to a Fourth Order Schrödinger Equation, Int. Math. Res. Not. IMRN 2019, no. 17, 5299-5315
D.B., Juraj Földes, Ederson Moreira dos Santos, Alberto Saldaña, Hugo Tavares, Paths to uniqueness of critical points, Transactions of the American Mathematical Society 370 (2018) 7081-7127
D.B., Jean-Baptiste Casteras, Ederson Moreira dos Santos, Robson Nascimento, Orbitally Stable Standing Waves of a Mixed Dispersion Nonlinear Schrödinger Equation , SIAM Journal on Mathematical Analysis 50 (2018), no. 5, 5027-5071
D.B., Jean-Baptiste Casteras, Benedetta Noris, Multi-layer radial solutions of the Keller-Segel system, Calc. Var. Partial Differential Equations (2017) 56 74
D.B., Silvia Cingolani, Jean Van Schaftingen, The logarithmic Choquard equation: Sharp asymptotics and nondegeneracy of the groundstate, Journal of Functional Analysis 272 (2017) 5255-5281
D.B., Isabel Coelho and Manon Nys, Heteroclinic solutions of singular quasilinear bistable equations, Nonlinear Differential Equations and Applications (2017) 24: 2
D.B. and Julio D. Rossi, The behavior of solutions to an elliptic equation involving a $p-$Laplacian and a $q-$Laplacian for large $p$, Nonlinear Analysis 150 (2017) 104-113
D.B., Christopher Grumiau and Christophe Troestler, Multiple radial positive solutions of semilinear elliptic problems with Neumann boundary conditions, Nonlinear Analysis 147 (2016) 236-273.
D.B., Silvia Cingolani, Manon Nys, Nonlinear Schrödinger equation: concentration on circles driven by an external magnetic field, Calc. Var. Partial Differential Equations 55 (2016) 1-33
D.B., Földes Juraj, Saldaña Alberto, Qualitative properties of solutions to mixed-diffusion bistable equations, Calc. Var. Partial Differential Equations 55 (2016) 1-23
D.B., Pietro d'Avenia, Alessio Pomponio, On the electrostatic Born-Infeld equation with extended charges, Comm. Math. Phys. (2016) 346:877-906
D.B., Julio D. Rossi and N. Saintier, The limit as $p\to\infty$ in the eigenvalue problem for a system of $p-$Laplacians, Annali di Matematica Pura ed Applicata (2016) 195:1771-1785
D.B., Massimo Grossi, Benedetta Noris and Susanna Terracini, Multi-layer radial solutions for a supercritical Neumann problem, Journal of Differential Equations 261 (2016), 455 - 504.
D.B., Ederson Moreira dos Santos, Miguel Ramos, Hugo Tavares, Existence and symmetry of least energy nodal solutions for Hamiltonian elliptic systems, Journal de mathématiques pures and appliquées 104 (2015), 1075-1107.
D.B. and Franco Obersnel, Optimal profiles in a phase transition model with a saturating flux, Nonlinear Analysis 125 (2015), 334-357.
D.B., José Angel Cid, Colette De Coster and Luis Sanchez, Heteroclinics for some non autonomous third order differential equations, Topological Methods in Nonlinear Analysis 43 (2014), 53-68.
D.B., Ann Derlet and Sébastien De Valeriola, On the multiplicity of nodal solutions of a prescribed mean curvature problem, Mathematische Nachrichten 286 (2013), 1072-1086.
D.B., Franco Obersnel and Pierpaolo Omari, Heteroclinic solutions of the prescribed curvature equation with a double-well potential, Differential and Integral Equations 26 (2013), 1411-1428.
D.B., Enrico Serra and Paolo Tilli, Neumann problem for supercritical elliptic systems in the ball, Journal of Functional Analysis 265 (2013),375-398.
D.B., Ederson Moreira dos Santos and Miguel Ramos, Symmetry and symmetry breaking for ground state solutions of some strongly coupled elliptic systems, Journal of Functional Analysis 264 (2013), 62-96.
D.B., Benedetta Noris and Tobias Weth, Increasing radial solutions for supercritical Neumann problems, Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire 29 (2012), 573-588.
D.B., Jonathan Di Cosmo and Jean Van Schaftingen, Nonlinear Schrödinger equation with unbounded or vanishing potentials: solutions concentrating on lower dimensional spheres, Journal of Differential Equations 252 (2012), 941-968.
D.B., Jonathan Di Cosmo and Carlo Mercuri, Concentration on circles for nonlinear Schrödinger-Poisson systems with unbounded potentials vanishing at infinity, Comm. Contemp. Math. 14 (2012), 1250009-1-1250009-31.
D.B. and Pedro J. Torres, Bounded and homoclinic solutions of a second order singular differential equation, Bulletin of the London Mathematical Society 44 (2012), 47-54.
D.B., Ederson Moreira dos Santos and Miguel Ramos, Ground state and non ground state solutions of some strongly coupled elliptic systems, Transactions of the American Mathematical Society, Volume 364 (2012), 447-491.
D.B. and Carlo Mercuri, Embedding theorems and existence results for nonlinear Schrödinger-Poisson systems with unbounded and vanishing potentials, Journal of Differential Equations 251 (2011), 1056-1085.
D.B. and Enrico Serra, Multiple positive radial solutions on annuli for nonlinear Neumann problems with large growth, Nonlinear Differential Equations and Applications, Volume 18 (2011), 217-235.
D.B. and Ederson Moreira dos Santos, Representation theorems for Sobolev spaces on intervals and multiplicity results for nonlinear ODEs, Journal of Differential Equations 249 (2010), 3148-3173.
D.B. and Jean Van Schaftingen, Groundstates for the nonlinear Schrödinger equation with potential vanishing at infinity, Annali di Matematica Pura ed Applicata 189 (2010) 273-301.
D.B. and Christian Fabry, Littlewood's problem for isochronous oscillators, Archiv. Der Mat. 93 (2010) Number 4, 379-388.
D.B. and Miguel Ramos, Multiple critical points of perturbed symmetric strongly indefinite functionals, Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire - AN 26 (2009) 675-688 (Erratum AN 26 (2009) 1049-1054)
D.B., Enrico Serra and Massimo Tarallo, Symmetry of extremal functions in Moser-Trudinger inequalities and a Hénon type problem in dimension two, Advances in Diff. Eq. 13, 1-2 (2008), 105-138
D.B., Vincent Bouchez, Christopher Grumiau and 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).
D.B. and Jean Van Schaftingen, Bound state solutions for a class of nonlinear Schrödinger equations, Revista Matematica Iberoamericana, 24 (2008), no. 1, 297-351
D.B., Patrick Habets, Franco Obersnel and 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
D.B. and Christian Fabry, A Variational approach to resonance for assymmetric oscillators, Communications on Pure and Applied Analysis 6 (2007), 163-181
D.B., Patrick Habets, Franco Obersnel and Pierpaolo Omari, Classical and non-classical solutions of a prescribed curvature equation, Journal of Differential Equations, 243 (2007) 208-237
D.B. and Jean Van Schaftingen, Nonlinear Schrödinger equations with potentials vanishing at infinity, C. R. Acad. Sci. Paris, Ser. I 342 (2006), 903-908
D.B., José-Maria Gomes and Luis Sanchez, Positive solutions of a second order singular ordinary differential equation, Nonlinear Analysis 61 (2005), 1383-1399
D.B., José-Maria Gomes and Patrick Habets, Multiple positive solutions of superlinear elliptic problems with sign-changing weight, Journal of Differential Equations 214 (2005), 36-64
D.B., Multitransition kinks and pulses for fourth order equations with a bistable nonlinearity, Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire 21 (2004), no. 3, 319-340
D.B., Patrick Habets and Luis Sanchez, Heteroclinics for fourth order symmetric bistable equations, Atti Sem. Mat. Fis. Univ. Modena e Reggio Emilia 52 (2004), 213-227
D.B., Christian Fabry and David Ruiz, Problems at resonance for equations with periodic nonlinearities, Nonlinear Analysis 55 (2003), no. 5, 557-581
D.B. and Colette De Coster, Forced singular oscillators and the method of lower and upper solutions, Topol. Methods Nonlinear Anal 22 (2003), no. 2, 297-318
D.B., Luis Sanchez, Massimo Tarallo and Susanna Terracini, Heteroclinic connections between nonconsecutive equilibria of a fourth order differential equation, Calc. Var. Partial Differential Equations 17 (2003), no. 4, 341-356
D.B. and Christian Fabry, Unbounded solutions of forced isochronous oscillators at resonance, Differential and Integral Equations 15 (2002), no. 9, 1139-1152
D.B., Christian Fabry and Didier Smets, Periodic solutions of forced isochronous oscillators at resonance, Discrete Contin. Dyn. Syst. 8 (2002), no. 4, 907-930
D.B. and Christian Fabry, Periodic motions in impact oscillators with perfectly elastic bounces, Nonlinearity 15 (2002), no.~4, 1281-1297
D.B., Francis Buekenhout and Dimitri Leemans, On the Petrials of thin rank $3$ geometries, J. Geom. 71 (2001), no. 1-2, 19-25

Book and book chapters

Invited contributions in special issues
in honor of Vladimir Maz'ya - D.B., Filippo Gazzola and Gianmarco Sperone, Eight(y) mathematical questions on fluids and structures, Rendiconti Lincei - Matematica e Applicazioni 30(4) (2019) 759-815. doi:10.4171/RLM/870
in honor of Haïm Brezis - D.B., François Hamel, One-dimensional symmetry and Liouville type results for the fourth order Allen-Cahn equation in R^n, Chin. Ann. Math. 38B(1) (2017) 149-172
in honor of Paul Rabinowitz - D.B., Jean-Baptiste Casteras and Benedetta Noris, Layered solutions with unbounded mass for the Keller-Segel equation, J. Fixed Point Theory Appl. 19 (2017) 529-558
in honor of Djairo de Figueiredo - D.B. and Robson Nascimento, Waveguide solutions for a nonlinear Schrödinger equation with mixed dispersion, Contributions to Nonlinear Elliptic Equations and Systems, A Tribute to Djairo Guedes de Figueiredo on the Occasion of his 80th Birthday. Progress in Nonlinear Differential Equations and Their Applications Volume 86 (2015), 31-53
in memory of Miguel Ramos - D.B., Ederson Moreira dos Santos and Hugo Tavares, Hamiltonian elliptic systems: a guide to variational frameworks, Portugal. Math. (N.S.) 71(2014), 301-395.
in honor of Fabio Zanolin - D.B., Ann Derlet and Colette De Coster, Infinitely many radial solutions of a mean curvature equation in Lorentz-Minkowski space, Rend. Istit. Mat. Univ. Trieste 44 (2012), 1-26.
in honor of Patrick Habets and Jean Mawhin - D.B., Vincent Bouchez and 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.

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