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

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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… Click to show full 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 impulsive; partial sub; sub linear; coupled systems; linear growth

Journal Title: Advances in Difference Equations
Year Published: 2019

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