Abstract
The aim of this paper is to discuss the question of existence and multiplicity of strong local minimizers for a relatively large class of functionals Open image in new window : Open image in new window from a purely topological point of view. The basic assumptions on Open image in new window are sequential lower semicontinuity with respect to W1,p-weak convergence and W1,p-weak coercivity, and the target is a multiplicity bound on the number of such minimizers in terms of convenient topological invariants of the manifolds Open image in new window and Open image in new window.
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