Special Session 21: Variational, topological, and set-valued methods for differential problems
Contents
The talk deals with the existence of entire solutions of a quasilinear equation in $\mathbb{R}^{N}$, which involves a general variable exponent elliptic operator $\mathbf{A}$ of the $p(x)$-Laplacian type in divergence form and two main nonlinearities of growth $q=q(x)$ and $r=r(x)$. The results we present extend the previous work in several directions. We first weaken the condition $\max\{2,p\}