Eigenvalues and eigenfunctions 4 Principal eigenvalues Antimaximum principle 2 Asymptotic behaviors 2 Asymptotic profiles 2 Bounded domain 2 Compactly supported 2 Diffusion 2 Dirichlet problem 2 Elliptic problem 2 Existence of Solutions 2 Maximum principle 2 Nonlinear eigenvalue problem 2 Nonlocal 2 Nonlocal diffusion 2 Nonnegative functions 2 Positive solution 2 Principal eigenvalue 2 Quasilinear problems 2 Variational methods 2 linear and nonlinear eigenvalue problems 2 sub- and super-solutions 2 variational methods 2