Yang–Li's conjecture on meromorphic solutions of a polynomial differential equation
Yang–Li's conjecture on meromorphic solutions of a polynomial differential equation
Let , and be non-zero polynomials. Consider the differential equation
Yang–Li's conjecture. The equation has no transcendental meromorphic solution when is a non-zero constant and is not the square of any rational function.
This conjecture concerns the existence of transcendental meromorphic solutions for a first-order nonlinear differential equation with polynomial coefficients. The supplied text gives no evidence that the conjecture has been resolved.
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
Sources & referencesView supporting material
Primary source
Sujoy majumder, Nabadwip Sarkar and Debabrata pramanik, “Meromorphic solutions of a certain type of nonlinear differential equation”, arXiv:2512.15750 (2025).
Solutions 0
Sign in to submit a solution.
No solutions have been posted yet.