Electron. J. Diff. Eqns., Vol. 1996(1996), No. 09, pp. 1-11.
C.O. Alves, J.V. Goncalves, & O.H. Miyagaki
In this note we use variational arguments -namely Ekeland's Principle and the Mountain Pass Theorem- to study the equation
The main concern is overcoming compactness difficulties due both to the unboundedness of the domain , and the presence of the critical exponent .
Submitted August 7, 1996. Published October 22, 1996.
Math Subject Class.: 35J20, 35K20.
Key Words: Elliptic equations, unbounded domains, critical exponents, variational methods.
Show me the PDF file (176 KB), TEX file, and other files for this article.
Dep. Mat. Univ. Brasilia, 70.910-900 Brasilia(DF), Brasil
Dep. Mat. Univ. Fed. Vicosa, 36570-000 Vicosa(MG), Brasil