Positive solutions for some competitive elliptic systems

Rok, strany: 2014, 61 - 72

Using some potential theory tools and the Schauder fixed point theorem, we prove the existence of positive bounded continuous solutions with a precise global behavior for the semilinear elliptic system $Δ u=p(x)u^αv^r$, $Δ v=q(x)u^s v^β$ in domains $D$ of ${\mathbb{R}}ⁿ$, $n≥ 3$, with compact boundary (bounded or unbounded) subject to some Dirichlet conditions, where $α≥ 1$, $β ≥ 1$, $r≥ 0$, $s≥ 0$ and the potentials $p$, $q$ are nonnegative and belong to the Kato class $K(D)$.

ISO 690:

Alsaedi, R., Mâagli, H., Zeddini, N. 2014. Positive solutions for some competitive elliptic systems. In Mathematica Slovaca, vol. 64, no.1, pp. 61-72. 0139-9918. DOI: https://doi.org/10.2478/s12175-013-0187-1

APA:

Alsaedi, R., Mâagli, H., Zeddini, N. (2014). Positive solutions for some competitive elliptic systems. Mathematica Slovaca, 64(1), 61-72. 0139-9918. DOI: https://doi.org/10.2478/s12175-013-0187-1