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arXiv · 2502.17765

Entire solutions to a quasilinear purely critical competitive system

Mónica Clapp·Víctor A. Vicente-Benítez
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Abstract

We establish the existence of a fully nontrivial solution with nonnegative components for a weakly coupled competitive system for the $p$-Laplacian in $\mathbb{R}^N$ whose nonlinear terms are purely critical. We also show that the purely critical equation for the $p$-Laplacian in $\mathbb{R}^N$ has infinitely many nodal solutions.

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Mónica Clapp, Víctor A. Vicente-Benítez. 2025-02-25. Entire solutions to a quasilinear purely critical competitive system. https://arxiv.org/abs/2502.17765

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