In this paper we consider singularly perturbed nonlinear Schrödinger equations with electromagnetic potentials and involving continuous nonlinearities with subcritical, critical or supercritical growth. By means of suitable variational techniques, truncation arguments and Lusternik-Schnirelman theory, we relate the number of nontrivial complex-valued solutions with the topology of the set where the electric potential attains its minimum value.
Multiple solutions for singularly perturbed nonlinear magnetic Schrödinger equations / Ambrosio, V.. - In: ASYMPTOTIC ANALYSIS. - ISSN 0921-7134. - 128:2(2022), pp. 239-272. [10.3233/ASY-211705]
Multiple solutions for singularly perturbed nonlinear magnetic Schrödinger equations
Ambrosio V.
2022-01-01
Abstract
In this paper we consider singularly perturbed nonlinear Schrödinger equations with electromagnetic potentials and involving continuous nonlinearities with subcritical, critical or supercritical growth. By means of suitable variational techniques, truncation arguments and Lusternik-Schnirelman theory, we relate the number of nontrivial complex-valued solutions with the topology of the set where the electric potential attains its minimum value.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
