On a class of semilinear elliptic problems near critical growth

On a class of semilinear elliptic problems near critical growth

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...

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Bibliographic Details
Main Authors: J. V. Goncalves, S. Meira
Format: Article
Language:English
Published: Wiley 1998-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Elliptic equations
variational methods
Orlicz spaces.
Online Access:http://dx.doi.org/10.1155/S0161171298000441
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Summary: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.
ISSN:0161-1712
1687-0425

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