On a fractional p-q Laplacian equation with critical nonlinearity

Abstract

In this paper, we consider the existence of nontrivial solutions for a fractional p-q Laplacian equation with critical nonlinearity in a bounded domain. Our approach is based on variational methods and some analytical techniques.

Bifurcation Results for a Fractional Quasilinear System with Critical Nonlinearities

“…and they obtain cat(Ω) nontrivial nonnegative solutions. For more recent results on fractional equations, see ( [19], [20], [21]) and references therein.…”

On the existence of three non-negative solutions for a $(p,q)$-Laplacian system

“…A class of variable exponent (p, q)-fractional Laplacian problems with variable exponents and indefinite weights has been studied in [8]. We also cite [5,18] as some recent articles in this context for interested readers.…”