article · Boletim da Sociedade Paranaense de Matemática
The present paper discusses an elliptic equation with Steklov boundary conditions and $(p(x),q(x))$-Laplacian. Using mountain pass theorem together with Ekeland's variational principle, we prove, under appropriate conditions on the functions involved, that the problem admits at least two solutions.
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DOI: 10.5269/bspm.63157
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