Abstract
We consider the Dirichlet problem associated to a $2\times 2$ semilinear elliptic system of equations in a bounded domain of $\mathbb R^n$. This system depends on two parameters $(\eta,\mu)$ and the nonlinear terms are of power type. The existence of solutions for such a problem in the plane $(\eta,\mu)$ is discussed. Our results are natural extensions of those obtained for the corresponding nonlinear eigenvalue problem for elliptic scalar equations.
Citation
Flavio Dickstein. "Positive solutions of an elliptic system depending on two parameters." Differential Integral Equations 18 (3) 287 - 297, 2005. https://doi.org/10.57262/die/1356060220
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