N. M. Stavrakakis & N. B. Zographopoulos
We prove existence results for the quasilinear elliptic system
where and may reach the critical Sobolev exponents, and the coefficient functions
An addendum was attached on November 4, 2003. The results concerning the critical Sobolev exponent are false; other results still hold. See last page of this article.
Submitted July 16, 1999. Published October 4, 1999.
Math Subject Classifications: 35P30, 35J70, 35B45, 35B65.
Key Words: p-Laplacian, nonlinear eigenvalue problems, homogeneous Sobolev spaces, maximum principle, Palais-Smale Condition.
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