A singular Gierer–Meinhardt system of elliptic equations in

Singular quasilinear elliptic systems in $${\mathbb {R}}^{N}$$RN

“…As far as we know, singular systems in the whole space have been investigated only for p := q := 2, essentially exploiting the linearity of involved differential operators. In such a context, [3,4,17] treat the so called Gierer-Meinhardt system, that arises from the mathematical modeling of important biochemical processes. Nevertheless, even in the semilinear case, (P) cannot be reduced to Gierer-Meinhardt's case once (H f,g ) is assumed.…”

Singular quasilinear convective elliptic systems in $R^N$

“…Singular elliptic problems in R N have a long history, that traces back to [17,6,3,4,19] for semi-linear equations. More recent results, involving also systems, can be found in [23,11,22,25] and the references therein.…”

Singular Quasilinear Elliptic Systems with (super-) Homogeneous Condition

“…The semilinear case in (1.1) (i.e. p = q = 2) was considered in [5,10,17] where the linearity of the principal part is essentialy used. In this context, the singular system (1.1) can be viewed as the elliptic counter-part of a class of Gierer-Meinhardt systems that models some biochemical processes (see, e.g.…”