Infinitely Many Solutions for Schr?dinger-Kirchhoff Equation with Concave-convex Nonlinearities in R3
A class of Schrödinger-Kirchhoff type equations with concave-convex nonlinearity in abstract form is studied,where the potential is not coercive,the concave term is of sublinear growth,the convex term satisfies the 3-superlinear growth condition at infinity and the superlinear growth condition at the origin.By Fountain theorem,we prove that,for all μ∈R,the Schrödinger-Kirchhoff type equations with concave-convex nonlinearity possesses infinitely many high-energy solutions,which improves and generalizes some known results in the literature.
Schrödinger-Kirchhoff equationconcave-convex nonlinearitiesFountain Theoreminfinitely many solutions
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