科研之友
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摘要
We prove the existence of at least two T-periodic solutions, not differing from each other by an integer multiple of 2 pi, of the sine-curvature equation -(u'/root 1 + u'(2))' = Asin u + h(t). We assume that A is an element of R and h is an element of L-loc(1) (R) is a T-periodic function such that f(0)(T) hdt = 0 and, e.g. parallel to h parallel to(L infinity) < 4/T. Our approach is variational and makes use of basic results of non-smooth critical point theory in the space of bounded variation functions.
- 出版日期2011-10
