ABSTRACT
We consider positive solutions of the equation with Dirichlet boundary conditions in a smooth bounded domain Ω for λ > 0 and p > 1. We study the behavior of the solutions for varying λ, p and varying domains Ω in different limiting situations.
*This research was supported by MURST project “Metodi Variazionali ed Equazioni Differenziali non Lineari”. A.M. is supported by a Fulbright fellowship for the academic year 2000–2001.
Acknowledgments
Notes
*This research was supported by MURST project “Metodi Variazionali ed Equazioni Differenziali non Lineari”. A.M. is supported by a Fulbright fellowship for the academic year 2000–2001.