Multiple sign-changing solutions for superlinear (p, q)-equations in symmetrical expanding domains

In this paper we study quasilinear elliptic equations defined on symmetrical expanding domains driven by the (p, q)Laplacian and with a superlinear right-hand side. Based on the Lusternik-Schnirelmann category we prove the existence of at least gamma(omega lambda \ {0}) pairs (+/- u) of odd weak solutions with precisely two nodal domains, where gamma stands for the genus. (c) 2024 Elsevier Masson SAS. All rights reserved.