Sharp conditions for the existence of infinitely many positive solutions to $ q $-$ k $-Hessian equation and systems

Abstract

<p>In this paper, only under the $ q $-$ k $-Keller–Osserman conditions, we consider the existence and global estimates of innumerable radial $ q $-$ k $-convex positive solutions to the $ q $-$ k $-Hessian equation and systems. Our conditions are strictly weaker than those in previous papers.</p>