Symmetric positive solutions to nonlinear Choquard equations with potentials

Existence results for a class of Choquard equations with potentials are established. The potential has a limit at infinity and it is taken invariant under the action of a closed subgroup of linear isometries of R N . As a consequence, the positive solution found will be invariant under the same acti...

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Bibliographic Details
Published in:Calculus of variations and partial differential equations 2022-04, Vol.61 (2), Article 61
Main Authors: Maia, Liliane, Pellacci, Benedetta, Schiera, Delia
Format: Article
Language:English
Subjects:
Analysis
Calculus of Variations and Optimal Control
Optimization
Control
Invariants
Mathematical analysis
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Nonlinearity
Subgroups
Systems Theory
Theoretical
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Summary:Existence results for a class of Choquard equations with potentials are established. The potential has a limit at infinity and it is taken invariant under the action of a closed subgroup of linear isometries of R N . As a consequence, the positive solution found will be invariant under the same action. Power nonlinearities with exponent greater or equal than two or less than two will be handled. Our results include the physical case.
ISSN:0944-2669
1432-0835
DOI:10.1007/s00526-021-02169-1