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On a class of semilinear elliptic problems near critical growth
We use Minimax Methods and explore compact embedddings in the context of Orlicz and OrliczāSobolev spaces to get existence of weak solutions on a class of semilinear elliptic equations with nonlinearities near critical growth. We consider both biharmonic equations with Navier boundary conditions and Laplacian equations with Dirichlet boundary conditions.