A note on the existence of a unique positive entropy solution to a fractional Laplacian with singular nonlinearities

Abstract

In this paper, we prove the existence of a unique positive entropy solution to a fractional Laplacian problem involving nonlinear singular terms and also a non-negative bounded Radon measure as a source term.

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References in corpus (2)

• Nonlocal equations with measure data
• Existence and stabilization results for a singular parabolic equation involving the fractional Laplacian

Cited by in corpus (1)

• A fractional Laplacian problem with mixed singular nonlinearities and nonregular data