Multiple solutions for eigenvalue problems involving an indefinite potential and with (p1(x), p2(x)) balanced growth

Abstract

In this paper we are concerned with the study of the spectrum for a class of eigenvalue problems driven by two non-homogeneous differential operators with different variable growth and an indefinite potential in the following form

Keywords

• nonlinear eigenvalue problem
• sign-changing potential
• continuous spectrum
• nonhomogeneous differential operator
• variable exponents
• primary 35p30
• secondary, 49r05, 58c40