The Brezis-Nirenberg problem for nonlocal systems
classification
🧮 math.AP
keywords
nonlocaloperatorbrezis-nirenbergcriticalequationsexistencefractionalgrowth
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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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