Existence of Nonnegative Solutions for Fourth Order Elliptic Equations of Kirchhoff Type with General Subcritical Growth

Abstract

This paper is dedicated to investigating the following fourth-order elliptic equation with Kirchhoff-typewhere a > 0, b ≥ 0 and c > 0 are constants. By using cut-off functional and monotonicity tricks, we prove that the above problem has a positive solution. Our result cover the case where the nonlinearity satisfies asymptotically linear and superlinear condition at the infinity, which extend the results of related literatures.

Existence of radial sign-changing solutions for fractional Kirchhoff-type problems in R3

“…Analogously to [22,23,24,25], also in the case that the nonlinear term does not satisfy the subcritical growth condition, by (F 1 ) and (F 2 ), for any ε > 0, there exists…”