For p in (p_S, p_JL) there are countably many positive radial solutions w to the self-similar profile equation, and finitely many for p in (p_JL, p_L).
Plech´ aˇ c and V.ˇSver´ ak,Singular and regular solutions of a nonlinear parabolic system, Nonlinearity 16 (2003), 2083–2097
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AP 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
On the multiplicity of self-similar solutions of the semilinear heat equation
For p in (p_S, p_JL) there are countably many positive radial solutions w to the self-similar profile equation, and finitely many for p in (p_JL, p_L).