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Existence of radial solutions for a p(x)-Laplacian Dirichlet problem.

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    • Abstract:
      In this paper, using variational methods, we prove the existence of at least one positive radial solution for the generalized p (x) -Laplacian problem − Δ p (x) u + R (x) u p (x) − 2 u = a (x) | u | q (x) − 2 u − b (x) | u | r (x) − 2 u with Dirichlet boundary condition in the unit ball in R N (for N ≥ 3 ), where a, b, R are radial functions. [ABSTRACT FROM AUTHOR]