Oral appliance therapy for the treatment of OSA and snoring is well researched and documented. There are numerous publications reporting the efficacy, compliance and overall clinical success of oral devices. Please reference below the clinical practice guidelines for oral appliance therapy, as dictated by the American Academy of Dental Sleep Medicine (AADSM) as well as a sample of supporting studies. 

Clinical Practice Guideline for the Treatment of Obstructive Sleep Apnea and Snoring with Oral Appliance Therapy: An Update for 2015

http://aadsm.org/resources/pdf/oral_appliance-OSA.pdf

Publications:

Oral Appliance Treatment for Obstructive Sleep Apnea: An Update. Sutherland K, Vanderveken O, Tsuda H, Marklund M, Gagnadoux F, Kushida C, Cistulli P, Source, Journal of Clinical Sleep Medicine, Vol 10 No 2, 2014.

http://www.ncbi.nlm.nih.gov/pubmed/24533007

CPAP vs. Mandibular Advancement Devices and Blood Pressure in Patients With Obstructive Sleep Apnea: A Systematic Review and Meta-analysis. Bratton DJ, Gaisl T, Wons A<, Kohler M, JAMA. 2015 Dec 1; 314(21):2280-93

http://www.ncbi.nlm.nih.gov/pubmed/26624827

Meta-analysis of randomised controlled trials of oral mandibular advancement devices and continuous positive airway pressure for obstructive sleep apnoea-hypopnoea. Linda Sharples, Abigail Clutterbuck-James, Matthew Glover, Maxine Bennett, Rebecca Chadwick, Marcus Pittman, Timothy Quinnell. Sleep Med Review 2015 May 30;

http://www.ncbi.nlm.nih.gov/pubmed/26163056

Effects of treatment with oral appliance on 24-h blood pressure in patients with obstructive sleep apnea and hypertension: a randomized clinical trial. Andrén A1, Hedberg P, Walker-Engström ML, Wahlén P, Tegelberg A. Sleep Breath. 2013 May;17(2):705-12.

http://www.ncbi.nlm.nih.gov/pubmed/22821223

Patient preferences and experiences of CPAP and oral appliances for the treatment of obstructive sleep apnea: a qualitative analysis. Almeida FR1, Henrich N, Marra C, Lynd LD, Lowe AA, Tsuda H, Fleetham JA, Pliska B, Ayas N. Sleep Breath. 2013 May;17(2):659-66.

http://www.ncbi.nlm.nih.gov/pubmed/22833346

Treatment of snoring and obstructive sleep apnea with mandibular repositioning appliances. Peter A. Cistulli, Helen Gotsopoulos, Marie Marklund and Alan A. Lowe. Sleep Med Reviews, Vol 8 Iss 6 pp 427-499 (2004) Copyright © 2005 Elsevier Ltd. All rights reserved.

http://www.ncbi.nlm.nih.gov/pubmed/15556377