Entire solutions to a quasilinear purely critical competitive system
Analysis of PDEs
2025-02-26 v1
Abstract
We establish the existence of a fully nontrivial solution with nonnegative components for a weakly coupled competitive system for the -Laplacian in whose nonlinear terms are purely critical. We also show that the purely critical equation for the -Laplacian in has infinitely many nodal solutions.
Cite
@article{arxiv.2502.17765,
title = {Entire solutions to a quasilinear purely critical competitive system},
author = {Mónica Clapp and Víctor A. Vicente-Benítez},
journal= {arXiv preprint arXiv:2502.17765},
year = {2025}
}