Infinite number of solutions for some elliptic eigenvalue problems of Kirchhoff-type with non-homogeneous material

Abstract

Abstract In this paper, using variational method, we study the existence of an infinite number of solutions (some are positive, some are negative, and others are sign-changing) for a non-homogeneous elliptic Kirchhoff equation with a nonlinear reaction term.

Keywords

• Kirchhoff equations
• Sign-changing solution
• Variational method