International Journal of Mathematics and Mathematical Sciences
Volume 21 (1998), Issue 2, Pages 321-330
doi:10.1155/S0161171298000441
On a class of semilinear elliptic problems near critical growth
J.V. Goncalves1
and S. Meira2
1Departamento de Matemática, Universidade de Brasilia, Brasilia 70910-900, DF, Brazil
2Departamento de Matemática, Unesp- Presidente Prudente, Presidente Prudente, SP, Brazil
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.