A priori estimates of stationary solutions of an activator-inhibitor system

Details A priori estimates of stationary solutions of an activator-inhibitor system A priori estimates of stationary solutions of an activator-inhibitor system

2006-10-25

arxiv.org/abs/math/0610765v1

Mathematics

Analysis of PDEs

40 pages

Scientific paper

We consider positive solutions of the stationary Gierer-Meinhardt system.
Under suitable conditions on the exponents $p,q,r$ and $s$, different types of
a priori estimates are obtained, existence and non-existence results of
nontrivial solutions are derived, for both positive and zero source production
cases.

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