Mountain pass on a closed convex set

[摘要] A mountain pass lemma without the Palais-Smale condition on a closed convex subset of a Banach space is established. Then, we apply it to a semilinear elliptic partial differential equation to obtain one negative solution and a positive solution. Hence we generalize an early result of K. C. Chang and L. Nirenberg. (C) 1997 Academic Press.

[发布日期] 1997-01-15