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Two nontrivial solutions for a class of anisotropic variable exponent problems. (English) Zbl 1263.35086
This paper deals with a class of nonlinear elliptic Dirichlet problems with variable exponent. The main result establishes the existence of at least two distinct weak solutions. This is done by standard variational arguments that rely on a recent multiplicity theorem. The reviewer’s opinion is that the list of references is excessive and many of the cited papers are not directly related with the present work.

35J35Higher order elliptic equations, variational problems
35J60Nonlinear elliptic equations
35J70Degenerate elliptic equations
46E30Spaces of measurable functions
35D30Weak solutions of PDE
35J40Higher order elliptic equations, boundary value problems
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