Generic existence result for an eigenvalue problem with rapidly growing principal operator
Department of Mathematics and Statistics,
University of Missouri–Rolla, MO 65401, USA; firstname.lastname@example.org.
Revised: 7 April 2004
We consider the eigenvalue problem in the case where the principal operator has rapid growth. By using a variational approach, we show that under certain conditions, almost all λ > 0 are eigenvalues.
Mathematics Subject Classification: 35J65 / 35J20 / 35J60 / 47J30 / 49J40 / 58E05
Key words: Quasilinear elliptic equation / generic existence / variational inequality / rapidly growing operator.
© EDP Sciences, SMAI, 2004