@article{10902/37976,
year = {2023},
url = {https://hdl.handle.net/10902/37976},
abstract = {In this paper, we ascertain the global ?-structure of the set of positive and negative solutions bifurcating from u=0 for the semilinear elliptic BVP-dAu=Ya,Au+u+u2uqin,u=0on,according to the values of d>0 and the integer number q4. Figs. 1.1-1.3 summarize the main findings of this paper according to the values of d and q. Note that the role played by the parameter Y  in this model is very special, because, besides measuring the strength of the convection, it quantifies the amplitude of the nonlinear term Yu2. We regard to this problem as a mathematical toy to generate solution loops and isolas in Reaction Diffusion equations.},
organization = {The authors have been supported by the Research Grants PGC2018-097104-B-I00 and PID2021-123343NB-I00 of the Spanish Ministry of Science and Technology, and by the Institute of Interdisciplinar Mathematics of Complutense University. J.C. Sampedro has been also supported by the Ph.D. Grant PRE2019-1-0220 of the Basque Country Government.},
publisher = {Elsevier},
publisher = {Nonlinear Analysis: Theory, Methods and Applications, 2023, 232, 113268},
title = {Generating loops and isolas in semilinear elliptic BVP's},
author = {López-Gómez, Julián and Sampedro Pascual, Juan Carlos},
}