On Maximizing an Integral with a Side Condition
نویسنده
چکیده
The class, P, of admissible functions is to include all pix) satisfying Ai: u(x)^p(x)^v(x), A2: Fipix), x) and Gipix), x) summable over E. It will further be assumed that Hi: £ is a compact subset of the reals, H2: m(x) and z>(x) continuous for x£72, H3: Fip, x) and G{p, x) continuous for x££ and w(x) ^p^vix), H4: infpG<p Qip)<c< supplE<p Qip). Under these conditions the problem can often be solved by forming (3) hid, x) = Max hid, x, p)
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