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- W197971033 abstract "Under adequate conditions on g, we show the density in L2((0, π), (0, 2π)) of the set of functions p for which utt(x, t)− uxx(x, t) = g(u(x, t)) + p(x, t) has a weak solution subject to u(x, t) = u(x, t + 2π) u(0, t) = u(π, t) = 0. To achieve this, we prove a Saddle Point Principle by means of a refined variant of the deformation lemma of Rabinowitz. Generally, inf-sup techniques allow the characterization of critical values by taking the minimum of the maximae on some particular class of sets. In this version of the Saddle Point Principle, we introduce sufficient conditions for the existence of a saddle structure which is not restricted to finite-dimensional subspaces." @default.
- W197971033 created "2016-06-24" @default.
- W197971033 creator A5085469819 @default.
- W197971033 date "2012-01-01" @default.
- W197971033 modified "2023-09-26" @default.
- W197971033 title "A Refined Saddle Point Theorem and Applications" @default.
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