Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.13674 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914807178854400 |
|---|---|
| author | Colasuonno, Francesca Noris, Benedetta Sovrano, Elisa |
| author_facet | Colasuonno, Francesca Noris, Benedetta Sovrano, Elisa |
| contents | For the following Neumann problem in a ball $$\begin{cases} -Δ_p u+u^{p-1}=u^{q-1}\quad&\text{in }B,\\ u>0,\,u\text{ radial}\quad&\text{in }B,\\ \frac{\partial u}{\partial ν}=0\quad&\text{on }\partial B, \end{cases}$$ with $1<p<q<\infty$, we prove continuous dependence on $p$, for radially nondecreasing solutions. As a byproduct, we obtain an existence result for nonconstant solutions in the case $p\in(1,2)$ and $q$ larger than an explicit threshold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_13674 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Continuous dependence for p-Laplace equations with varying operators Colasuonno, Francesca Noris, Benedetta Sovrano, Elisa Analysis of PDEs For the following Neumann problem in a ball $$\begin{cases} -Δ_p u+u^{p-1}=u^{q-1}\quad&\text{in }B,\\ u>0,\,u\text{ radial}\quad&\text{in }B,\\ \frac{\partial u}{\partial ν}=0\quad&\text{on }\partial B, \end{cases}$$ with $1<p<q<\infty$, we prove continuous dependence on $p$, for radially nondecreasing solutions. As a byproduct, we obtain an existence result for nonconstant solutions in the case $p\in(1,2)$ and $q$ larger than an explicit threshold. |
| title | Continuous dependence for p-Laplace equations with varying operators |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2405.13674 |