Papers

(Please click on the numbers to get directed to ArXiv respectively the corresponding journal!)

• [39] (Preprint) "Optimal weighted Fourier Restriction Estimates for the Sphere in 2D".

• [38] "Block-radial symmetry breaking for ground states of biharmonic NLS", with D. Oliveira E Silva, Calc. Var. PDEs.

• [37] (Preprint) "The Restriction-Extension operator on Lebesgue spaces with symmetries and applications to PDEs".

• [36] "Real Interpolation for mixed Lorentz spaces and Minkowski's inequality", Z. Anal. Anwend. 42 (2023), no. 3/4, pp. 457-469.

• [35] (Accepted) "On Gagliardo-Nirenberg Inequalities with vanishing symbols", to appear in Analysis & PDE.

• [34] (Preprint) "A simple variational approach to Nonlinear Maxwell Equations".

• [33] "The Stein-Tomas Inequality under the effect of symmetries", with D. Oliveira E Silva, JAMA 150, 547-582 (2023).

• [32] "The Lugiato-Lefever equation with nonlinear damping caused by two photon absorption", with J. Gärtner, W. Reichel, J. Dynam. Differential Equations 34 (2022), no. 3, 2201-2227.

• [31] "Nonlinear Helmholtz Equations with sign-changing diffusion coefficient", with Z. Moitier, B. Verfürth, Comptes Rendus Mathématique 360 (2022), pp. 513-538. 

• [30] "Inverse medium scattering for a nonlinear Helmholtz equation", with R. Griesmaier, M. Knöller, Journal of Mathematical Analysis and Applications 515 (1), 2022. 

• [29] "Non-homogeneous Gagliardo-Nirenberg inequalities and application to a biharmonic non-linear Schrödinger equation", with A. Fernandez, L. Jeanjean, M. Maris, Journal of Differential Equations 330 (2022), 1-65.

• [28] "Time-harmonic solutions for Maxwell's equations in Anisotropic Media and Bochner-Riesz Estimates with Negative Index for Non-elliptic Surfaces", with R. Schippa, Annales Henri Poincaré 23 (2022), no.5, 1831-1882.

• [27] "Ground States for Maxwell's Equations in nonlocal nonlinear media", Partial Diff. Equ. Appl. 3, 22 (2022).

• [26] "A uniqueness result for the sine-Gordon breather", Partial Diff. Equ. Appl. 2 (2021), no. 2, Paper no . 26, 8pp. 

• [25] "A limiting absorption principle for Helmholtz systems and time-harmonic isotropic Maxwell's equations", with L. Cossetti, Journal of Functional Analysis  281, 11 (2021).

• [24] "Variational methods for breather solutions of Nonlinear Wave Equations", with D. Scheider, Nonlinearity 34 (2021), no.6, 2618-3640.

• [23] "Dual variational methods for a nonlinear Helmholtz equation with sign-changing nonlinearity", with D.Scheider, T. Yesil,  Calc. Var. 60, 133 (2021).

• [22] "On Helmholtz equations and counterexamples to Strichartz estimates in hyperbolic space", with J.-B. Casteras, Volume 2021, Issue 7, 4838–4863. 

• [21] "An annulus multiplier and applications to the Limiting absorption principle for Helmholtz equations with a step potential", with D. Scheider, Math. Ann. 379 (2021), no. 1-2, 865–907.

• [20] "Dispersive estimates, blow-up and failure of Strichartz estimates for the Schrödinger equation with slowly decaying initial data", Pure And Applied Analysis, vol. 2 (2020), No. 2, 519-532. 

• [19] "Bifurcations of nontrivial solutions of a cubic Helmholtz system", with D. Scheider,  Adv. Nonlinear Anal. 9 (2020), no. 1, 1026–1045.

• [18] "Bandwidth and conversion efficiency analysis of dissipative Kerr soliton frequency combs based on bifurcation theory", with J. Gärtner, P. Trocha, C. Koos, T. Jahnke, W. Reichel, Sep 2019, Phys. Rev. A 100, 033819. 

• [17] "Uncountably many solutions for nonlinear Helmholtz and curl-curl equations", Adv. Nonlinear Stud. 19 (2019), no. 3, 569–593. 

• [16] "Global secondary bifurcation, symmetry breaking and period-doubling", Topological Methods in Nonlinear Analysis 53 (2019), no.2, 779–800. 

• [15] "On a fourth order nonlinear Helmholtz equation", with D. Bonheure, J.-B. Castéras, Journal of the London Mathematical Society 99 (2019), no. 3, 831-852.

• [14] "The limiting absorption principle for periodic differential operators and applications to nonlinear Helmholtz equations", Commun. Math. Phys. 368 (2019), no. 2 799-842.

• [13] "Explicit formulas, symmetry and symmetry breaking for Willmore surfaces of revolution", Annals of Global Analysis and Geometry 54 (2018), no. 2, 187-236. 

• [12] "Periodic Solutions to a Cahn–Hilliard–Willmore Equation in the Plane", with A. Malchiodi, M. Rizzi, Archive for Rational Mechanics and Analysis 228 (2018), no. 3, 821-866. 

• [11] "Dual variational methods for nonlinear Helmholtz systems", with D.Scheider, NoDEA Nonlinear Differential Equations Appl. 25 (2018), no. 2, Art.13, 26 pp. 

• [10] "A note on the local regularity of distributional solutions and subsolutions", manuscripta mathematica 154 (2017), no. 3-4, 345-35.

• [9] "Oscillating solutions for nonlinear Helmholtz Equations", with E. Montefusco, B. Pellacci, Z. Angew. Math. Phys. 68 (2017), no. 6, Art. 121, 19 pp. 

•  [8] "A priori bounds and global bifurcation results for frequency combs modeled by the Lugiato-Lefever equation", with W. Reichel, SIAM J. Appl. Math. 77 (2017), no. 1, 315-345.

• [7] "Minimal energy solutions and infinitely many bifurcating branches for a class of saturated nonlinear Schrödinger systems", Adv. Nonlinear Stud. 16 (2016), no. 1, 95-113. 

• [6] "Infinitely many global continua bifurcating from a single solution of an elliptic problem with concave-convex nonlinearity", with T. Bartsch, J. Math. Anal. Appl. 433 (2016), no. 2, 1006-1036.

• [5]  "Boundary value problems for Willmore curves in R^2", Calc. Var. Partial Differential Equations 54 (2015), no. 4, 3905-3925.

• [4]  "Minimal energy solutions for cooperative nonlinear Schrödinger systems",  NoDEA Nonlinear Differential Equations Appl. 22 (2015), no. 2, 239–262.

• [3] "Uniqueness results for semilinear elliptic systems on R^n",  Math. Nachr. 287 (2014), no. 16, 1828–1836.

• [2] "Minimal energy solutions for repulsive nonlinear Schrödinger systems",  J. Differential Equations 257 (2014), no. 2, 450–468.

• [1] "Distributional solutions of the stationary nonlinear Schrödinger equation: singularities, regularity and exponential decay", with W.Reichel, Z. Anal. Anwend. 32 (2013), no. 1, 55–82.