The Nehari manifold for elliptic equation involving the square root of the Laplacian

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The Nehari manifold for fractional systems involving critical nonlinearities (2015, background): “We refer to [12, 23, 26, 27, 29, 32] for the subcritical case and to [3, 4, 11, 14, 15, 22, 24, 28] for the critical case.”
On Dirichlet problem for fractional p-Laplacian with singular non-linearity (2016, methodology): “Also, themultiplicity of solutions by themethod of Nehari manifold and fibering maps has been investigated in [26, 45, 46].”
Fractional elliptic equations with critical exponential nonlinearity (2016, methodology): “We refer to [31], where the Laplacian equation is studied, and to [29], where the 1 2 -Laplacian equation is considered.”
Elliptic problems involving the fractional Laplacian in RN (2013, background): “For the existence, non-existence, multiplicity and bifurcation of solutions for square root Laplacian Dirichlet problems in bounded domains with sign-changing weights we refer to [33].”