Triple solutions for a Leray-Lions p(x)-biharmonic operator involving Hardy potential and indefinite weight

Abstract

Existence and multiplicity of three weak solutions for a Leray-Lions $ p(x) $-biharmonic problem involving Hardy potential and indefinite weight were proved. Our main tools combined variational methods and some critical theorems.

Keywords

• critical theorem
• leray-lions operator
• hardy potential
• variable exponent