Variational method to a fractional impulsive (p,q) $(p,q)$-Laplacian coupled systems with partial sub- (p,q) $(p,q)$ linear growth

Abstract

Abstract In this paper, by using the least action principle, an existence result of nontrivial weak solutions for a class of fractional impulsive coupled systems with (p,q) $(p,q)$-Laplacian is obtained if the nonlinear term has sub- (p,q) $(p,q)$ linear growth, and by using an extension of Clark’s theorem, infinitely many solutions of the system are obtained if the nonlinear term has partial sub- (p,q) $(p,q)$ linear growth.

Keywords

• Fractional coupled systems
• ( p , q ) $(p,q)$ -Laplacian
• Multiplicity
• Clark’s theorem
• Impulsive effects
• The least action principle