LJ
Louis Jeanjean
math.APmath.CAmath.MPmath-phmath.FA
On Valency
published · living versionsW_k6xjks38·v1 · currentpublished
Existence and instability of standing waves with prescribed norm for a class of Schrödinger-Poisson equations
with Jacopo Bellazzini, Tingjian Luo
1 version
Preprints & journals
49 papers in the corpus · 2007–2026Blow-up analysis and a priori bounds for NLS equations on metric graphs2605.02879v1 · Pablo Carrillo, Colette De Coster, Damien Galant et al.2026 · 0 citationsarXiv
Normalized solutions to mass supercritical Schrödinger equations with radial potentials2603.06390v3 · Pablo Carrillo, Louis Jeanjean2026 · 1 citationPablo Carrillo and Louis Jeanjean, Normalized solutions to mass supercritical Schr\"odinger equations with radial potentials, Journal of Differential Equations, 481: 114671, 2026
Multiplicity result for a mass supercritical NLS with a partial confinement2502.11472v1 · Louis Jeanjean, Linjie Song2025 · 3 citationsarXiv
Sign-changing prescribed mass solutions for -supercritical NLS on compact metric graphs2501.14642v3 · Louis Jeanjean, Linjie Song2025 · 3 citationsarXiv
Serrin-type Overdetermination in Scaling Limits: Sharp Existence and Asymptotic Behavior of Quasi-linear Schrödinger Energy Ground States2501.03845v2 · Louis Jeanjean, Jianjun Zhang, Xuexiu Zhong2025 · 0 citationsarXiv
Normalized solutions of -supercritical NLS equations on noncompact metric graphs2404.15841v2 · Simone Dovetta, Louis Jeanjean, Enrico Serra2024 · 1 citationarXiv
Infinitely many normalized solutions of -supercritical NLS equations on noncompact metric graphs with localized nonlinearities2403.10959v2 · Pablo Carrillo, Damien Galant, Louis Jeanjean et al.2024 · 2 citationsarXiv
Normalized ground states for a coupled Schrödinger system: Mass super-critical case2311.10994v1 · Louis Jeanjean, Jianjun Zhang, Xuexiu Zhong2023 · 18 citationsarXiv
Normalized solutions of -supercritical NLS equations on noncompact metric graphs with localized nonlinearities2212.04840v2 · Jack Borthwick, Xiaojun Chang, Louis Jeanjean et al.2022 · 32 citationsarXiv
Bounded Palais-Smale sequences with Morse type information for some constrained functionals2210.12626v2 · Jack Borthwick, Xiaojun Chang, Louis Jeanjean et al.2022 · 10 citationsarXiv
Normalized solutions of -supercritical NLS equations on compact metric graphs2204.01043v2 · Xiaojun Chang, Louis Jeanjean, Nicola Soave2022 · 40 citationsarXiv
A global branch approach to normalized solutions for the Schrödinger equation2112.05869v4 · Louis Jeanjean, Jianjun Zhang, Xuexiu Zhong2021 · 35 citationsarXiv
Normalized solutions with positive energies for a coercive problem and application to the cubic-quintic nonlinear Schrödinger equation2111.13020v2 · Louis Jeanjean, Sheng-Sen Lu2021 · 25 citationsMathematical Models and Methods in Applied Sciences 32 (2022) 1557-1588
On global minimizers for a mass constrained problem2108.04142v3 · Louis Jeanjean, Sheng-Sen Lu2021 · 61 citationsCalculus of Variations and Partial Differential Equations, 61 (2022): 214
Logarithmic estimates for mean-field models in dimension two and the Schrödinger-Poisson system2107.00610v2 · Jean Dolbeault, Rupert L. Frank, Louis Jeanjean2021 · 10 citationsarXiv
Multiple normalized solutions for a Sobolev critical Schrödinger-Poisson-Slater equation2103.05575v3 · Louis Jeanjean, Thanh Trung Le2021 · 80 citationsarXiv
Multiple normalized solutions for a Sobolev critical Schrödinger equation2011.02945v2 · Louis Jeanjean, Thanh Trung LE2020 · 191 citationsarXiv
Some non-homogeneous Gagliardo-Nirenberg inequalities and application to a biharmonic non-linear Schrödinger equation2010.01448v3 · Antonio J. Fern'andez, Louis Jeanjean, Rainer Mandel et al.2020 · 34 citationsJournal of Differential Equations 330 (2022), 1-65
Orbital stability of ground states for a Sobolev critical Schrödinger equation2008.12084v4 · Louis Jeanjean, Jacek Jendrej, Thanh Trung Le et al.2020 · 114 citationsarXiv
Nonhomogeneous quasilinear elliptic problems: linear and sublinear cases2002.06813v2 · Louis Jeanjean, Vicentiu D. Radulescu2020 · 16 citationsarXiv
A mass supercritical problem revisited2002.03973v2 · Louis Jeanjean, Sheng-Sen Lu2020 · 187 citationsCalculus of Variations and Partial Differential Equations, 59 (2020): 174
Some remarks on a minimization problem associated to a fourth order nonlinear Schrödinger equation1910.13177v2 · Nabile Boussaid, Antonio J. Fern'andez, Louis Jeanjean2019 · 5 citationsarXiv
Stationary waves with prescribed -norm for the planar Schrödinger-Poisson system1901.02421v3 · Silvia Cingolani, Louis Jeanjean2019 · 126 citationsSIAM J. Math. Anal., 51, 4, 2019, 3533-3568
Nonradial normalized solutions for nonlinear scalar field equations1811.04044v2 · Louis Jeanjean, Sheng-Sen Lu2018 · 125 citationsNonlinearity 32 (2019) 4942-4966
Nonlinear scalar field equations with general nonlinearity1807.07350v2 · Louis Jeanjean, Sheng-Sen Lu2018 · 27 citationsNonlinear Analysis, 190 (2020): 111604
A priori bounds and multiplicity of solutions for an indefinite elliptic problem with critical growth in the gradient1803.02658v2 · Colette De Coster, Antonio J. Fern'andez, Louis Jeanjean2018 · 10 citationsarXiv
Normalized solutions to the mixed dispersion nonlinear Schrödinger equation in the mass critical and supercritical regime1802.09217v2 · Denis Bonheure, Jean-Baptiste Casteras, Tianxiang Gou et al.2018 · 83 citationsarXiv
Multiple positive normalized solutions for nonlinear Schrödinger systems1705.09612v2 · Tianxiang Gou, Louis Jeanjean2017 · 116 citationsarXiv
Strong instability of ground states to a fourth order Schrödinger equation1703.07977v2 · Denis Bonheure, Jean-Baptiste Casteras, Tianxiang Gou et al.2017 · 40 citationsarXiv
Existence and Stability of standing waves for supercritical NLS with a Partial Confinement1607.00739v2 · J. Bellazzini, N. Boussaid, L. Jeanjean et al.2016 · 117 citationsarXiv
Multiple complex-valued solutions for nonlinear magnetic Schrodinger equations1604.06188v2 · Silvia Cingolani, Louis Jeanjean, Kazunaga Tanaka2016 · 0 citationsarXiv
Existence and orbital stability of standing waves for nonlinear Schrödinger systems1512.08952v2 · Tianxiang Gou, Louis Jeanjean2015 · 86 citationsarXiv
Multiplicity results in the non-coercive case for an elliptic problem with critical growth in the gradient1507.04880v2 · Colette De Coster, Louis Jeanjean2015 · 21 citationsarXiv
Normalized solutions for nonlinear Schrödinger systems1507.04649v1 · Thomas Bartsch, Louis Jeanjean2015 · 7 citationsarXiv
Normalized solutions for a system of coupled cubic Schrödinger equations on 1506.02262v1 · Thomas Bartsch, Louis Jeanjean, Nicola Soave2015 · 9 citationsJournal de Math\'ematiques Pures et Appliqu\'ees, 106 (2016), 583--614
On dipolar quantum gases in the unstable regime1410.4767v3 · Jacopo Bellazzini, Louis Jeanjean2014 · 135 citationsarXiv
Multiple solutions for an indefinite elliptic problem with critical growth in the gradient1404.3623v2 · Louis Jeanjean, Humberto Ramos Quoirin2014 · 20 citationsarXiv
Remarks on the uniqueness for quasilinear elliptic equations with quadratic growth conditions1311.0975v1 · David Arcoya, Colette De Coster, Louis Jeanjean et al.2013 · 33 citationsarXiv
Multiplicity of positive solutions of nonlinear Schrödinger équations concentrating at a potential well1305.3685v1 · Silvia Cingolani, Louis Jeanjean, Kazunaga Tanaka2013 · 0 citationsarXiv
Continuum of solutions for an elliptic problem with critical growth in the gradient1304.3066v2 · David Arcoya, Colette De Coster, Louis Jeanjean et al.2013 · 46 citationsarXiv
Sharp non-existence results of prescribed L^2-norm solutions for some class of Schrödinger-Poisson and quasilinear equations1203.6002v2 · Louis Jeanjean, Tingjian Luo2012 · 128 citationsarXiv
Existence and instability of standing waves with prescribed norm for a class of Schrödinger-Poisson equations1111.4668v2 · Jacopo Bellazzini, Louis Jeanjean, Tingjian Luo2011 · 260 citationsarXivon Valency
Some continuation properties via minimax arguments1104.0767v1 · Louis Jeanjean (LM-Besancon)2011 · 21 citationsarXiv
Existence and multiplicity for elliptic problems with quadratic growth in the gradient1010.4520v2 · Louis Jeanjean, Boyan Sirakov2010 · 41 citationsarXiv
Stability and instability results for standing waves of quasi-linear Schrödinger equations0906.5261v2 · Mathieu Colin, Louis Jeanjean, Marco Squassina2009 · 132 citationsarXiv
An approach to minimization under constraint: the added mass technique0906.1081v2 · Louis Jeanjean, Marco Squassina2009 · 0 citationsarXiv
Symmetry and monotonicity of least energy solutions0806.0299v1 · Jaeyoung Byeon, Louis Jeanjean, Mihai Maris2008 · 93 citationsarXiv
Instability for standing waves of nonlinear Klein-Gordon equations via mountain-pass arguments0710.5583v1 · Louis Jeanjean (LM-Besancon), Stefan Le Coz (LM-Besancon)2007 · 27 citationsTransactions of the American Mathematical Society (2009) Trans. Amer. Math. Soc. 361 (2009), 5401-5416
Multi-peak solutions for magnetic NLS equations without non--degeneracy conditions0710.3227v3 · Silvia Cingolani, Louis Jeanjean, Simone Secchi2007 · 77 citationsarXiv
Career total: 121 works. 49 are in this corpus.
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