Qualitative Analysis of Solutions for a Class of Anisotropic Elliptic Equations with Variable Exponent

چکیده مقاله

We are concerned with the degenerate anisotropic problem We first establish the existence of an unbounded sequence of weak solutions. We also obtain the existence of a non-trivial weak solution if the nonlinear term f has a special form. The proofs rely on the fountain theorem and Ekeland's variational principle. © 2015 Edinburgh Mathematical Society.