@misc{10481/105883, year = {2025}, month = {7}, url = {https://hdl.handle.net/10481/105883}, abstract = {This paper explores the cubic-quintic Schrödinger equation in the entire Euclidean space. Our objectives are twofold: first, to advance the understanding of unresolved issues related to this equation, which are well known in the extensively studied Gross-Pitaevskii equation. Second, to consolidate existing results on the cubic-quintic equation, providing partial contributions. Specifically, we determine the explicit constant for the a priori bound and establish a partial existence result for finite energy traveling waves in suitable approximate domains of R d.}, publisher = {Springer Nature}, title = {On the cubic-quintic Schrödinger equation}, doi = {https://doi.org/10.1007/s00030-025-01109-8}, author = {Baldelli, Laura}, }