Entire solutions to a quasilinear purely critical competitive system
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866929730068938752 |
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| author | Clapp, Mónica Vicente-Benítez, Víctor A. |
| author_facet | Clapp, Mónica Vicente-Benítez, Víctor A. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_17765 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Entire solutions to a quasilinear purely critical competitive system Clapp, Mónica Vicente-Benítez, Víctor A. Analysis of PDEs 35J92, 35J47, 35B08, 35B33, 35J20 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. |
| title | Entire solutions to a quasilinear purely critical competitive system |
| topic | Analysis of PDEs 35J92, 35J47, 35B08, 35B33, 35J20 |
| url | https://arxiv.org/abs/2502.17765 |