Abstract
Let Ω be a bounded domain in IR
N
, N ≥ 2 with C
2 boundary and let f(x, t), g(x, t) : Ω × IR → IR be Carathéodory functions satisfying sf(x, s) ≥ 0, sg(x, s) ≥ 0 for all (x, s) ∈ Ω × IR and . Consider the functional
defined as
Let Ω be a bounded domain in IR
N
, N ≥ 2 with C
2 boundary and let f(x, t), g(x, t) : Ω × IR → IR be Carathéodory functions satisfying sf(x, s) ≥ 0, sg(x, s) ≥ 0 for all (x, s) ∈ Ω × IR and . Consider the functional
defined as
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