Investigation of weak solutions for p(z)-Kirchhoff equations by Young measure techniques

Abstract

The present article deals with the existence of weak solutions to a class of p(z)p\left(z)-Kirchhoff-type problems. To address these problems, we employ a variational approach in conjunction with the theory of variable exponent Sobolev spaces, while imposing suitable assumptions on the source term. Furthermore, we utilize the theory of Young measures.

Keywords

• weak solution
• p(z)-kirchhoff-type
• nonlocal problems
• variable exponents
• young measures
• 35j60
• 35j25
• 35d30