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On a class of semilinear elliptic problems near critical growth

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  • J. V. Goncalves
  • S. Meira

Abstract

We use Minimax Methods and explore compact embedddings in the context of Orlicz and Orlicz-Sobolev 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.

Suggested Citation

  • J. V. Goncalves & S. Meira, 1998. "On a class of semilinear elliptic problems near critical growth," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 21, pages 1-10, January.
    • Handle: RePEc:hin:jijmms:634947
    DOI: 10.1155/S0161171298000441
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