Demonstrates the existence of nonnegative ground state solutions in nonlinear systems, indicating important theoretical implications.
In this paper we are going to show the existence of nonnegative ground state solution for a class of system involving a quasilinear elliptic operator and a nonlinearity associated which was studied considering three types of growth: subcritical, critical and supercritical. Such class of operators includes the Laplacian, p-Laplacian and p&q-Laplacian operators.
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Costa et al. (2026) studied this question.
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