Preprints

• B. Bieganowski, P. d'Avenia, J. Schino, D. Strzelecki: A Lichnerowicz equation in the Einstein-scalar field theory on non-CMC closed manifolds, arXiv:2510.17669.

• M. Gallo, J. Schino: A Pohožaev minimization for normalized solutions: fractional sublinear equations of logarithmic type, arXiv:2503.24080.

Articles

1. B. Bieganowski, J. Schino: A generalisation of the Gagliardo–Nirenberg Inequality with applications to mass-critical and mass-subcritical elliptic equations, accepted in Ann. Mat. Pura Appl., arXiv:2604.24981.

2. B. Bieganowski, P. d'Avenia, J. Schino: Finite-energy solutions to Einstein-scalar field Lichnerowicz equations on complete Riemannian manifolds, NoDEA Nonlinear Differential Equations Appl. 33 (2026), Article No. 142. Link 

3. J. Schino, P. Smyrnelis: Some one-dimensional elliptic problems with constraints, Topol. Methods Nonlinear Anal., Online First (2026), DOI 10.12775/TMNA.2025.060. Link  Link to preprint

4. J. Mederski, J. Schino: Travelling waves for Maxwell's equations in nonlinear and symmetric media, Nonlinear Anal. 263 (2026), Paper No. 113976, 14 pp. Link 

5. B. Bieganowski, O. H. Miyagaki, J. Schino: Normalized solutions to polyharmonic equations with Hardy-type potentials and exponential critical nonlinearities, Commun. Contemp. Math. 28 (2026), no. 10, Article No. 2550088. Link  Link to preprint

6. J. Schino, P. Smyrnelis: On the maximum principle for minimizers of variational integrals,  Discrete Cont. Dyn. Syst. 46 (2026), 144–158. Link

7. B. Bieganowski, P. d'Avenia, J. Schino: Existence and dynamics of normalized solutions to Schrödinger equations with generic double-behaviour nonlinearities,  J. Differential Equations 441 (2025), 113489. Link

8. B. Bieganowski, J. Mederski, J. Schino: Normalized solutions to at least mass critical problems: singular polyharmonic equations and related curl-curl problems, J. Geom. Anal. 34 (2024), no. 10, Paper No. 322, 32 pp. Link

9. L. Bociu, E. Ftaka, K. T. Nguyen, J. Schino: Piecewise regular solutions to scalar balance laws with singular nonlocal sources, J. Differential Equations 409 (2024), 181–222. Link

10. J. Mederski, J. Schino: Normalized solutions to Schrödinger equations in the strongly sublinear regime, Calc. Var. Partial Differential Equations 63 (2024), no. 5, Paper No 137, 20 pp. Link

11. M. Gaczkowski, J. Mederski, J. Schino: Multiple solutions to cylindrically symmetric curl-curl problems and related Schrödinger equations with singular potentials, SIAM J. Math. Anal. 55 (2023), no. 5, 4425–4444. Link

12. P. d'Avenia, A. Pomponio, J. Schino: Radial and non-radial multiple solutions to a general mixed dispersion NLS equation, Nonlinearity 36 (2023), no. 3, 1743–1775. Link

13. J. Mederski, J. Schino: Nonlinear curl-curl problems in R³, Minimax Theory Appl. 7 (2022), no. 2, 339–364. Link Link to preprint 

14. J. Schino: Normalized ground states to a cooperative system of Schrödinger equations with generic L²-subcritical or L²-critical nonlinearity, Adv. Differential Equations 27 (2022), no. 7-8, 467–496. Link Link to preprint

15. J. Mederski, J. Schino: Least energy solutions to a cooperative system of Schrödinger equations with prescribed L²-bounds: at least L²-critical growth, Calc. Var. Partial Differential Equations 61 (2022), no. 1, Paper No. 10, 31 pp. Link

16. J. Mederski, J. Schino, A. Szulkin: Multiple solutions to a nonlinear curl-curl problem in R³, Arch. Ration. Mech. Anal. 236 (2020), no. 1, 253–288. Link

Ph.D. thesis

• Ground state, bound state, and normalized solutions to semilinear Maxwell and Schrödinger equations, arXiv:2207.07461.