Brouwer and Wilbrink [3] showed the nonexistence of regular near octagons whose parameters s, t2, t3 and t satisfy s ≥ 2, t2 ≥ 2 and t3 = t2(t2 + 1). Later an arithmetical error was discovered in the proof. Because of this error, the existence problem was still open for the near octagons corresponding with certain values of s, t2 and t3. In the present paper, we will also show the nonexistence ...

This paper establishes a new criterion for global existence and nonexistence of positive solutions of the non-local degenerate parabolic system ut = v p ( ∆u+ a ∫

Key words and phrases: Lotka-Volterra model of 3-species, nonexistence of closed orbits, existence of nonconstant analytic rst integral, application of vector analysis, generalized May-Leonard model.

We show the existence of nodal solutions to perturbed quasilinear elliptic equations with critical Sobolev exponent on compact Riemannian manifolds. A nonexistence result is also given.