Existence of minimizers of functionals involving the fractional gradient in the abscence of compactness, symmetry and monotonicity

Hichem Hajaiej

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arXiv · 1107.0396

Existence of minimizers of functionals involving the fractional gradient in the abscence of compactness, symmetry and monotonicity

Hichem Hajaiej

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Abstract

We establish general assumptions under which a constrained vari- ational problem involving the fractional gradient and a local nonlin- earity admits minimizers.

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Hichem Hajaiej. 2011-07-02. Existence of minimizers of functionals involving the fractional gradient in the abscence of compactness, symmetry and monotonicity. https://arxiv.org/abs/1107.0396

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