Electron. J. Diff. Eqns., Vol. 1994(1994), No. 07, pp. 1-14.
David G. Costa
We consider a class of variational systems in of the form
where are continuous functions which are coercive; i.e., and approach plus infinity as
By considering a class of potentials which are nonquadratic at infinity, we show that a weak version of the Palais-Smale condition holds true and that a nontrivial solution can be obtained by the Generalized Mountain Pass Theorem.
Our approach allows situations in which and may assume negative values, and the potential may grow either faster of slower than
Submitted April 21, 1994. Published September 23, 1994.
Math Subject Classification: 35J50, 35J55.
Key Words: Elliptic systems, Mountain-Pass Theorem, Nonquadratic at
Show me the PDF file (222 KB), TEX file, and other files for this article.