Existence results for a class of Choquard equations with potentials are es- tablished. The potential has a limit at infinity and it is taken invariant under the action of a closed subgroup of linear isometries of RN. As a consequence, the positive solution found will be invariant under the same action. Power nonlinearities with ex- ponent greater or equal than two or less than two will be handled. Our results include the physical case.
SYMMETRIC POSITIVE SOLUTIONS TO NONLINEAR CHOQUARD EQUATIONS WITH POTENTIALS
BENEDETTA PELLACCI;
2022
Abstract
Existence results for a class of Choquard equations with potentials are es- tablished. The potential has a limit at infinity and it is taken invariant under the action of a closed subgroup of linear isometries of RN. As a consequence, the positive solution found will be invariant under the same action. Power nonlinearities with ex- ponent greater or equal than two or less than two will be handled. Our results include the physical case.File in questo prodotto:
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