56 citations · 68 across the 19 of their papers we have counts for
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math.AP2012
Liouville theorems for stable Lane-Emden systems and biharmonic problems
Craig Cowan
We examine the elliptic system given by {equation} \label{system_abstract} -Δu = v^p, \qquad -Δv = u^θ, \qquad \{in} \IR^N, {equation} for and the fourth order scala…
math.AP2012
Regularity of stable solutions of a Lane-Emden type system
Craig Cowan
We examine the system given by \hfill -Δu = λ(v+1)^p \qquad Ω \hfill -Δv = γ(u+1)^θ\qquad Ω, \hfill u = v =0 \qquad \quad \partial Ω, where are positive parameters and where…
math.AP2012
Regularity of the extremal solutions associated to elliptic systems
Craig Cowan, Mostafa Fazly
We examine the two elliptic systems given by [(G)_{λ,γ} \quad -Δu = λf'(u) g(v), \quad -Δv = γf(u) g'(v) \quad in ,] and [(H)_{λ,γ} \quad -Δu = λf(u) g'(v), \quad -Δv = γf'(u)…