Он явно способен справиться.

Способен is the short form of the adjective способный.

In Russian, the short form is often used:

• as the main predicate in a sentence
• especially for meanings like is able, is ready, is glad, is obliged, etc.

So:

• Он способный = He is talented / capable as a general quality
• Он способен справиться = He is capable of handling it / able to cope

In this sentence, Russian needs the predicate form, so способен is the natural choice.

Явно means something like:

• clearly
• obviously
• plainly

So it adds the idea that his ability is easy to see or quite evident.

In this sentence, Он явно способен справиться means:

• He is clearly capable of handling it
• He is obviously able to cope

Depending on context, явно can sound either neutral or a bit emphatic.

Справиться usually means:

• to cope
• to manage
• to handle it successfully

It often implies dealing successfully with a task, problem, or situation.

For example:

• справиться с работой = to cope with the work
• справиться с задачей = to handle the task
• справиться с этим = to manage this

In your sentence, the object is not stated, because it is understood from context.

The important contrast here is between:

• справляться = imperfective
• справиться = perfective

With способен + infinitive, Russian often uses the infinitive that best matches the intended meaning.

Here, справиться is perfective, so it suggests:

• succeeding in dealing with something
• bringing the action to a successful result

That fits English to manage or to cope successfully.

Справляться would sound more like:

• being able to cope in general
• managing habitually or over time

So:

• Он способен справиться = He is capable of managing it / getting through it successfully
• Он способен справляться = He is capable of coping in a more general or repeated sense

Because Russian can leave it unstated when the context already makes it clear.

Very often, you will see:

• справиться с этим = cope with this
• справиться с задачей = cope with the task
• справиться с проблемой = deal with the problem

But if everyone already knows what is being talked about, Russian can simply say:

• Он способен справиться = He is capable of handling it

English often also does this:

• He can handle it
• She’ll manage

So the missing object is completely normal.

Yes. When you state what someone is coping with, справиться normally takes с + instrumental:

• справиться с работой
• справиться с ситуацией
• справиться с этим

So if you expand the sentence, you might get:

• Он явно способен справиться с этим.

That is a very common pattern to remember:

• справиться с чем-то = to cope with something

The structure is:

• Он = subject
• явно = adverb modifying the predicate
• способен = short-form adjective used predicatively
• справиться = infinitive complement

So the pattern is:

кто-то способен + infinitive
= someone is capable of doing something

Examples:

• Она способна понять. = She is capable of understanding.
• Они способны победить. = They are capable of winning.
• Ты способен это сделать? = Are you capable of doing this?

Both can often be translated as He can manage / He is able to cope, but the nuance is different.

• Он может справиться = He can manage
  This focuses more on possibility or ability in the situation.

• Он способен справиться = He is capable of managing
  This sounds a bit stronger and more like a statement about his capacity, competence, or inner ability.

So способен often feels a little more formal or evaluative than может.

The neutral order is:

• Он явно способен справиться.

This sounds natural and straightforward.

If you change the word order, the emphasis can change:

• Явно он способен справиться.
  Stronger focus on obviously/clearly

• Он способен явно справиться.
  Much less natural in most contexts, because явно usually modifies the whole statement, not just the infinitive

So the given order is a very normal one.

Sometimes yes, but it depends on context.

Russian often omits the subject pronoun if it is obvious from the surrounding conversation. For example, after a question about one person, someone might just say:

• Явно способен справиться.

But in a standalone sentence, он is usually kept for clarity:

• Он явно способен справиться.

So the pronoun is natural and expected here.

Он is in the nominative case, because it is the subject of the sentence.

The basic dictionary form is он = he.

Other forms include:

• его = him / his
• ему = to him
• им = by/with him
• нём = about/on him

But here we need the subject, so nominative он is correct.

You can add the thing he is expected to handle after с + instrumental.

For example:

• Он явно способен справиться с этим.
  He is clearly capable of handling this.

• Он явно способен справиться с задачей.
  He is clearly capable of handling the task.

• Он явно способен справиться с трудностями.
  He is clearly capable of coping with difficulties.

This is often how you will see справиться used in full sentences.