Kuelbs-Steadman spaces are studied within the framework of Henstock-Kurzweil integrable function spaces with bounded variable exponent. We describe a relationship between the Lebesgue spaces with ...

Abstract We study the nonlinear degenerate problem −∑i=1N∂xiai(x, ∂xiu)=f(x,u) in Ω, u = 0 on ∂Ω, where Ω ⊂ ℝN (N ≥ 3) is a bounded domain with smooth boundary, ∑i=1N∂xiai(x, ∂xiu) is a p→(·) - ...

Multiple zeta functions extend the classical Riemann zeta function to several complex variables by involving multiple summations with distinct exponents. These functions not only encapsulate deep ...