@misc{10481/103881,
year = {2025},
month = {3},
url = {https://hdl.handle.net/10481/103881},
abstract = {In this paper we show the existence of strictly monotone heteroclinic type solutions of semilinear elliptic equations in cylinders. The motivation of this construction is twofold: first, it implies the existence of an entire bounded solution of a semilinear equation without critical points which is not one-dimensional. Second, this gives an example of a bounded stationary solution for the 2D Euler equations without stagnation points which is not a shear flow, completing previous results of Hamel and Nadirashvili. The proof uses a minimization technique together with a truncation argument, and a limit procedure.},
organization = {Funding for open access publishing: Universidad de Granada/CBUA},
publisher = {Springer Nature},
title = {Monotone heteroclinic solutions to semilinear PDEs in cylinders and applications},
doi = {10.1007/s00526-025-02975-x},
author = {Regibus, Fabio De and Ruiz Aguilar, David},
}