Journal article 1480 views 202 downloads
Groundstates and radial solutions to nonlinear Schrödinger–Poisson–Slater equations at the critical frequency
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: |
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URI: | https://cronfa.swan.ac.uk/Record/cronfa30794 |
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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 |