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Maximal existence domains of positive solutions for two-parametric systems of elliptic equations

Maximal existence domains of positive solutions for two-parametric systems of elliptic equations

The paper is devoted to the study of two-parametric families of Dirichlet problems for systems of equations with $p, q$-Laplacians and indefinite nonlinearities. Continuous and monotone curves $\Gamma_f$ and $\Gamma_e$ on the parametric plane $\lambda \times \mu$, which are the lower and upper bounds for a maximal domain of existence …