Approximative compactness and nonuniqueness in variational problems, and applications to differential equationsстатья
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Дата последнего поиска статьи во внешних источниках: 26 ноября 2014 г.
Аннотация:The paper is concerned with the study of sets which are approximatively compact with respect to a family of functionals obtained by subtracting affine functionals from some fixed base functional. Nonconvexity of the base functional is shown to imply the minimum in a variational problem with some modified functional is not unique. The results obtained are applied to a specific equation involving the q-Laplacian.