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The Brezis-Nirenberg problem for nonlocal systems
Published 21 Aug 2015 in math.AP | (1508.05206v1)
Abstract: By means of variational methods we investigate existence, non-existence as well as regularity of weak solutions for a system of nonlocal equations involving the fractional laplacian operator and with nonlinearity reaching the critical growth and interacting, in a suitable sense, with the spectrum of the operator.
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