Minimal energy solutions for cooperative nonlinear Schrödinger systems R Mandel NoDEA Nonlinear Differential Equations Appl 22 (2), 239-262, 2015 | 45 | 2015 |
Oscillating solutions for nonlinear Helmholtz equations R Mandel, E Montefusco, B Pellacci Zeitschrift für angewandte Mathematik und Physik 68 (6), 121, 2017 | 33 | 2017 |
A priori bounds and global bifurcation results for frequency combs modeled by the Lugiato--Lefever equation R Mandel, W Reichel SIAM Journal on Applied Mathematics 77 (1), 315-345, 2017 | 30 | 2017 |
Non-homogeneous Gagliardo-Nirenberg inequalities in RN and application to a biharmonic non-linear Schrödinger equation AJ Fernández, L Jeanjean, R Mandel, M Mariş Journal of Differential Equations 330, 1-65, 2022 | 21* | 2022 |
Uncountably many solutions for nonlinear Helmholtz and curl-curl equations R Mandel Advanced Nonlinear Studies 19 (3), 569-593, 2019 | 20 | 2019 |
Bandwidth and conversion efficiency analysis of dissipative Kerr soliton frequency combs based on bifurcation theory J Gärtner, P Trocha, R Mandel, C Koos, T Jahnke, W Reichel Physical Review A 100 (3), 033819, 2019 | 18 | 2019 |
The limiting absorption principle for periodic differential operators and applications to nonlinear Helmholtz equations R Mandel Communications in Mathematical Physics 368 (2), 799-842, 2019 | 17 | 2019 |
Explicit formulas, symmetry and symmetry breaking for Willmore surfaces of revolution R Mandel Annals of Global Analysis and Geometry 54, 187-236, 2018 | 16 | 2018 |
Time-harmonic solutions for Maxwell’s equations in anisotropic media and Bochner–Riesz estimates with negative index for non-elliptic surfaces R Mandel, R Schippa Annales Henri Poincaré 23 (5), 1831-1882, 2022 | 15 | 2022 |
Minimal energy solutions for repulsive nonlinear Schrödinger systems R Mandel Journal of Differential Equations 257 (2), 450-468, 2014 | 15 | 2014 |
On a fourth‐order nonlinear Helmholtz equation D Bonheure, JB Casteras, R Mandel Journal of the London Mathematical Society 99 (3), 831-852, 2019 | 13 | 2019 |
Boundary value problems for Willmore curves in R Mandel Calculus of Variations and Partial Differential Equations 54, 3905-3925, 2015 | 13 | 2015 |
Minimal energy solutions and infinitely many bifurcating branches for a class of saturated nonlinear Schrödinger systems R Mandel Advanced Nonlinear Studies 16 (1), 95-113, 2016 | 11 | 2016 |
The Stein–Tomas inequality under the effect of symmetries R Mandel, D Oliveira e Silva Journal d'Analyse Mathématique 150 (2), 547-582, 2023 | 10 | 2023 |
Variational methods for breather solutions of nonlinear wave equations R Mandel, D Scheider Nonlinearity 34 (6), 3618, 2021 | 9 | 2021 |
Inverse medium scattering for a nonlinear Helmholtz equation R Griesmaier, M Knöller, R Mandel Journal of Mathematical Analysis and Applications 515 (1), 126356, 2022 | 8 | 2022 |
A limiting absorption principle for Helmholtz systems and time-harmonic isotropic Maxwell's equations L Cossetti, R Mandel Journal of Functional Analysis 281 (11), 109233, 2021 | 8 | 2021 |
Dual variational methods for a nonlinear Helmholtz system R Mandel, D Scheider arXiv preprint arXiv:1710.04526, 2017 | 8 | 2017 |
Dispersive estimates, blow-up and failure of Strichartz estimates for the Schrödinger equation with slowly decaying initial data R Mandel Pure and Applied Analysis 2 (2), 519-532, 2020 | 7 | 2020 |
Dual variational methods for a nonlinear Helmholtz equation with sign-changing nonlinearity R Mandel, D Scheider, T Yeşil Calculus of variations and partial differential equations 60 (4), 133, 2021 | 6* | 2021 |