A note on some nonlinear principal eigenvalue problems
1 Department of Mathematics, Science and Research Branch, Islamic, Azad University (Iau), Tehran, Iran
2 Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
Boundary Value Problems 2012, 2012:44 doi:10.1186/1687-2770-2012-44Published: 16 April 2012
We investigate the existence of principal eigenvalues (i.e., eigenvalues corresponding to positive eigenfunctions) the boundary value problem
where Ω ⊆ ℝN is a bounded domain, 1 < p < ∞ and α is a real number.
AMS Subject Classification: 35J60; 35B30; 35B40.