Solicit

добива́ться

dobivátʹsja

(to persistently endeavor)

домога́ться

domogátʹsja

(to persuade or incite)

досажда́ть

dosaždátʹ

((obsolete, rare in English) to disturb or trouble; to harass)

навязываться

navjazyvatʹsja

(to offer to perform sexual activity, especially when for a payment)

обраща́ться с петицией

obraščátʹsja

(to make a petition)

приставать

pristavatʹ

(to offer to perform sexual activity, especially when for a payment)

уха́живать

uxáživatʹ

(to woo; to court)

ходатайствовать

xodatajstvovatʹ

(to make a petition)