Three solutions for second-order boundary-value problems with variable exponents
Shapour Heidarkhani, Shahin Moradi, Stepan Agop Tersian · Electronic journal of qualitative theory of differential equations · 2018
This paper presents several sufficient conditions for the existence of at least three weak solutions of a nonhomogeneous Neumann problem for an ordinary differential equation with $p(x)$-Laplacian operator. The technical approach is variational, based on a theorem of Bonanno and Candito. An example is also given