3 papers
math.AP2016
Uniqueness of singular self-similar solutions of a semilinear parabolic equation
Pavol Quittner
We study the uniqueness of singular radial (forward and backward) self-similar positive solutions of the equation where $p\geq(n+2)/(…
math.AP2016
Threshold and strong threshold solutions of a semilinear parabolic equation
Pavol Quittner
If then the equation possesses both positive global solutions and positive solutions which blow up in finite time. We study…
math.AP2015
Liouville theorems, universal estimates and periodic solutions for cooperative parabolic Lotka-Volterra systems
Pavol Quittner
We consider positive solutions of cooperative parabolic Lotka-Volterra systems with equal diffusion coefficients, in bounded and unbounded domains. The systems are complemented by…