The Brezis–Nirenberg problem for nonlocal systems
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AbstractBy means of variational methods we investigate existence, nonexistence 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.
2013 ◽
Vol 66
(7)
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pp. 1245-1260
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2016 ◽
Vol 5
(1)
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pp. 57-74
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2012 ◽
Vol 122
(9)
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pp. 3288-3311
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2018 ◽
Vol 28
(06)
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pp. 1199-1231
2012 ◽
Vol 252
(11)
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pp. 6133-6162
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2015 ◽
Vol 143
(6)
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pp. 2571-2578
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