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On elliptic problems with Choquard term and singular nonlinearity

Published 6 May 2023 in math.AP and math.FA | (2305.03974v1)

Abstract: Using variational methods, we establish the existence of infinitely many solutions to an elliptic problem driven by a Choquard term and a singular nonlinearity. We further show that if the problem has a positive solution, then it is bounded a.e. in the domain Ω\Omega and is H\"{o}lder continuous.

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