Existence and multiplicity of solutions for a class of Kirchhoff type $(Φ_1,Φ_2)$-Laplacian system with locally super-linear condition in $\mathbb{R}^N$
Abstract:We investigate the existence and multiplicity of weak solutions for a nonlinear Kirchhoff type quasilinear elliptic system on the whole space R N . We assume that the nonlinear term satisfies the locallywhich is weaker than the well-known Ambrosseti-Rabinowitz condition and the naturally global|u| m 1 +|v| m 2 = +∞ for a.e. x ∈ R N . We obtain that system has at least one weak solution by using the classical Mountain Pass Theorem. To a certain extent, our theorems extend the results of Tang-Lin-Yu [Journal of … Show more
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.