This research shows the existence of nonnegative solutions in a quasilinear competitive system, indicating infinitely many nodal solutions.
We establish the existence of a fully nontrivial solution with nonnegative components for a weakly coupled competitive system for the p-Laplacian in RN whose nonlinear terms are purely critical. We also show that the purely critical equation for the p-Laplacian in RN has infinitely many nodal solutions.
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Clapp et al. (2025) studied this question.
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