Who are the Gaudiya Vaishnava?

Devotees of Visnu are called Vaiṣṇavas, devotees of Krsna are called kāṛṣṇas, and the devotees of Sri Radha are called Gaudīyas.

Lord Gauranga’s devotees, who are under the shelter of parakīya-madhurya-rati and who follow Sri Rúpa, are called Gaudīyas. The Gaudīyas Vaisnavas follow Sri Svarūpa Dāmodara Gosvāmī, the incarnation of Lalitā. Therefore they can be defined as followers of Sri Svarūpa and Sri Rúpa. Therefore Mahaprabhu commented to Sri Svarūpa Dāmodara Prabhu, This is the behavior of your Gaudiya devotees.

The Gaudiya Vaisnavas are interested in mañjari-bhava, and Śrī Radha-Govinda, Śrī Radha-Gopinatha, and Śrī Radha Madana mohana are their worshipable Deities.

Madana-mohan is the same Krsna described in the eighteen-syllable mantra worshiped by Gaudīya Vaisnavas, and Govinda is that same Govinda and Gopijana-vallabha is that same Gopinatha. Realization of Madana-mohana Krsna is sambandha realization, service to Govinda is abhidheya realization, and attraction to Gopijana-vallabha is prayojana realization, because Madana-mohana Krsna is the predominating Lord of sambandha, Govinda is the predominating Lord of abhidheya, and Gopinatha is the predominating Lord of prayojana.

Generally, Lord Gauranga’s devotees are known as Gaudīyas, and the devotees in Gauḍadeśa (Bengal) are also called Gaudīyas, just as the devotees in Utkala are called Oḍiyās.