The phrase "to support the publication" means to assist or help in promoting and making a piece of writing or information available to the public. Full definition
Additionally, I will encourage the members to support your publication which can only be described as a voice of reason and common sense throughout this entire ordeal. (rocklandtimes.com)
If you click an affiliate link and buy a product we may receive a small commission which helps support the publication. (roadtovr.com)
By supporting the publication of the series, the foundation aims to encourage public understanding of science. (newscientist.com)