Multiplicity of positive solutions for a fractional Laplacian equations involving critical nonlinearity

Existence and concentration of solution for a class of fractional elliptic equation in $$\mathbb {R}^N$$ R N via penalization method

“…Using some embeddings mentioned in Brändle, Colorado and Sánchez [6], see also [9,24], we deduce that the embeddings…”

Critical growth fractional elliptic systems with exponential nonlinearity

“…The critical exponent problems for fractional Laplacian have been studied in [28,29]. Among the works dealing with fractional elliptic equations with critical exponents we cite also [33,8,23,24] and references there-in, with no attempt to provide a complete list.…”

A critical nonlinear fractional elliptic equation with saddle-like potential in ℝN

“…Using some embeddings mentioned in Brändle,Colorado and Sánchez [9]( see also [12,31]), we deduce that the embeddings…”