Cambridge Grammar Today states that when problem is followed by a verb, the verb is in the -ing form, and gives have problems doing something rather than have problems to do something. This guidance concerns problem meaning difficulty with an activity; a noun phrase such as problems to solve has different syntax and should not be collapsed into this complement choice.
ReviewedEvidence1 sourceSectionEnglish Usage
Quick answer
Use have a problem/problems + -ing when the verb names what is difficult.
Key details
Confusion Familyverb complement choice
Rule Familyverb complement licensing
TermsHave Problems Doing, Have Problems To Do
Further guidance
Boundary
This guidance concerns problem meaning difficulty with an activity; a noun phrase such as problems to solve has different syntax and should not be collapsed into this complement choice.
Construction
Cambridge Grammar Today states that when problem is followed by a verb, the verb is in the -ing form, and gives have problems doing something rather than have problems to do something.
Decision
Use have a problem/problems + -ing when the verb names what is difficult.
Sources and evidence
Sources are shown with the role they play in this guide. Historical or style-sensitive claims are kept within the evidence boundary described above.
Word patterns: problem↗ (opens in a new tab)Cambridge University Press & Assessment · Preferred Cambridge grammar authority directly documenting have problems doing something and rejecting have problems to do something for that pattern.
Cambridge directly gives accustom yourself to followed by an -ing form for becoming familiar with new conditions. The to belongs to the prepositional construction accustom yourself to something; do not infer an equivalent to-infinitive from the surface word to.
Oxford documents apply yourself to (doing) something for working hard and attentively at a task. This apply-yourself construction takes prepositional to; other senses of apply use different complements and should not be merged into this pattern.
Cambridge directly documents busy + -ing for being occupied with an activity, and separately documents too busy to do something. Busy doing and too busy to do are different constructions with different meanings. Do not treat bare busy to do as a direct alternative to busy doing.
Cambridge directly documents capable of something/doing something for having the ability, power, or qualities needed to do something. The documented adjective complement is capable of + noun or -ing form; do not replace the prepositional complement with capable to + infinitive on the basis of meaning alone.
Cambridge directly documents be good at something/doing something for being skilled or successful at an activity. Good to + infinitive can occur in other constructions and meanings, but it is not a substitute for the documented skill construction be good at + -ing.
Oxford directly documents reduce somebody/something to (doing) something, usually in the passive, for being forced into a worse state or action. Here to introduces the resulting state or activity; the authority does not establish an equivalent be reduced to + bare infinitive pattern.
