Continuous spectrum of a fourth order eigenvalue problem with variable exponent under Neumann boundary conditions

Khalil Ben Haddouch, Zakaria El Allali, Abdeslam Ayoujil, Najib Tsouli

Abstract


In this paper we will study the existence of solutions for the nonhomogeneous elliptic equation with variable exponent $\Delta^2_{p(x)} u=\lambda |u|^{q(x)-2} u$, in a smooth bounded domain, under Neumann boundary conditions.

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