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Groundstates and radial solutions to nonlinear Schrödinger–Poisson–Slater equations at the critical frequency
Carlo Mercuri 
,
Vitaly Moroz ,
Jean Van Schaftingen
,
Vitaly Moroz ,
Jean Van Schaftingen
Calculus of Variations and Partial Differential Equations, Volume: 55, Issue: 6
Swansea University Authors:
Carlo Mercuri , Vitaly Moroz
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DOI (Published version): 10.1007/s00526-016-1079-3
Abstract
We introduce a functional space which is suitable for the variational analysis of a class of semilinear elliptic equations involving nonlocal potentials, we study the embeddings into L^p spaces given by a new class of Gagliardo-Nirenberg type inequalities, and we prove existence of solutions in both...
| Published in: | Calculus of Variations and Partial Differential Equations |
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| ISSN: | 0944-2669 1432-0835 |
| Published: |
2016
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| Online Access: |
Check full text
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa30794 |
| Abstract: |
We introduce a functional space which is suitable for the variational analysis of a class of semilinear elliptic equations involving nonlocal potentials, we study the embeddings into L^p spaces given by a new class of Gagliardo-Nirenberg type inequalities, and we prove existence of solutions in both a radial and a nonradial setting. |
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| Keywords: |
Gagliardo-Nirenberg inequalities, embeddings, RIesz kernel, Schödinger-Poisson systems. |
| College: |
Faculty of Science and Engineering |
| Issue: |
6 |