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Multiplicity of solutions for a class of anisotropic elliptic equations with variable exponent. (English) Zbl 1229.35086
The authors study quasilinear elliptic equations involving the anisotropic p(x)-Laplace operator on a bounded domain with smooth boundary. Using the symmetric mountain pass theorem of Ambrosetti and Rabinowitz they obtain the existence of an unbounded sequence of solutions.

MSC:
35J62Quasilinear elliptic equations
35J25Second order elliptic equations, boundary value problems
35D30Weak solutions of PDE
46E35Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
35J20Second order elliptic equations, variational methods