Abstract
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 and on the parametric plane , which are the lower and upper bounds for a maximal domain of existence of weak positive solutions, are introduced. The curve is obtained by developing our previous work and it determines a maximal domain of the applicability of the Nehari manifold and fibering methods. The curve is derived explicitly via minimax variational principle of the extended functional method.
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