Groundstate for the Schrödinger-Poisson-Slater equation involving the Coulomb-Sobolev critical exponent
In this article, we study the existence of ground state solutions for the Schrödinger-Poisson-Slater type equation with the Coulomb-Sobolev critical growth: −Δu+14π∣x∣∗∣u∣2u=∣u∣u+μ∣u∣p−2u,inR3,-\Delta u+\left(\frac{1}{4\pi | x| }\ast | u{| }^{2}\right)u=| u| u+\mu | u{| }^{p-2}u,\hspace{1.0em}{\rm{i...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2023-03-01
|
| Series: | Advances in Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/anona-2022-0299 |