- You cannot return a (plain) array from a function.
- You cannot create a new const char[n]inside a constexpr (§7.1.5/3 dcl.constexpr).
- An address constant expression must refer to an object of static storage duration (§5.19/3 expr.const) - this disallows some tricks with objects of types having a constexpr ctor assembling the array for concatenation and your constexpr fct just converting it to a ptr.
- The arguments passed to a constexpr are not considered to be compile-time constants so you can use the fct at runtime, too - this disallows some tricks with template metaprogramming.
- You cannot get the single char's of a string literal passed to a function as template arguments - this disallows some other template metaprogramming tricks.
So (as far as I know), you cannot get a constexpr that is returning a char const* of a newly constructed string or a char const[n]. Note most of these restrictions don't hold for an std::array as pointed out by Xeo.
And even if you could return some char const*, a return value is not a literal, and only adjacent string literals are concatenated. This happens in translation phase 6 (§2.2), which I would still call a preprocessing phase. Constexpr are evaluated later (ref?). (f(x) f(y) where f is a function is a syntax error afaik)
But you can return from your constexpr fct an object of some other type (with a constexpr ctor or that is an aggregate) that contains both strings and can be inserted/printed into an basic_ostream.
Edit: here's the example. It's quite a bit long o.O
Note you can streamline this in order just to get an additional "\n" add the end of a string. (This is more a generic approach I just wrote down from memory.)
Edit2: Actually, you cannot really streamline it. Creating the arr data member as an "array of const char_type" with the '\n' included (instead of an array of string literals) uses some fancy variadic template code that's actually a bit longer (but it works, see Xeo's answer).
Note: as ct_string_vector (the name's not good) stores pointers, it should be used only with strings of static storage duration (such as literals or global variables). The advantage is that a string does not have to be copied & expanded by template mechanisms. If you use a constexpr to store the result (like in the example main), you compiler should complain if the passed parameters are not of static storage duration.
#include <cstddef>
#include <iostream>
#include <iterator>
template < typename T_Char, std::size_t t_len >
struct ct_string_vector
{
    using char_type = T_Char;
    using stringl_type = char_type const*;
private:
    stringl_type arr[t_len];
public:
    template < typename... TP >
    constexpr ct_string_vector(TP... pp)
        : arr{pp...}
    {}
    constexpr std::size_t length()
    {  return t_len;  }
    template < typename T_Traits >
    friend
    std::basic_ostream < char_type, T_Traits >&
    operator <<(std::basic_ostream < char_type, T_Traits >& o,
        ct_string_vector const& p)
    {
        std::copy( std::begin(p.arr), std::end(p.arr),
            std::ostream_iterator<stringl_type>(o) );
        return o;
    }
};
template < typename T_String >
using get_char_type =
    typename std::remove_const < 
    typename std::remove_pointer <
    typename std::remove_reference <
    typename std::remove_extent <
        T_String
    > :: type > :: type > :: type > :: type;
template < typename T_String, typename... TP >
constexpr
ct_string_vector < get_char_type<T_String>, 1+sizeof...(TP) >
make_ct_string_vector( T_String p, TP... pp )
{
    // can add an "\n" at the end of the {...}
    // but then have to change to 2+sizeof above
    return {p, pp...};
}
// better version of adding an '\n':
template < typename T_String, typename... TP >
constexpr auto
add_newline( T_String p, TP... pp )
-> decltype( make_ct_string_vector(p, pp..., "\n") )
{
    return make_ct_string_vector(p, pp..., "\n");
}
int main()
{
    // ??? (still confused about requirements of constant init, sry)
    static constexpr auto assembled = make_ct_string_vector("hello ", "world");
    enum{ dummy = assembled.length() }; // enforce compile-time evaluation
    std::cout << assembled << std::endl;
    std::cout << add_newline("first line") << "second line" << std::endl;
}