Multiple solutions of double phase variational problems with variable exponent

Xiayang Shi, Vicenţiu D. Rădulescu, Dušan D. Repovš +1

This paper deals with the existence of multiple solutions for the quasilinear equation $-\mathrm{div}\mathbf{A}(x,\nabla u)|u{|}^{\alpha (x)-2}u=f(x,u)$ in ${\mathbb{R}}^N$, which in…