Huiqiang Jiang, Wei-Ming Ni
Published 2006-10-25Version 1
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.
Optimal conditions for $L^\infty$-regularity and a priori estimates for elliptic systems, II: $n(\geq 3)$ components
A priori estimates and bifurcation of solutions for a noncoercive elliptic equation with critical growth in the gradient
A priori estimates for the free-boundary Euler equations with surface tension in three dimensions
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