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Positive solutions for singularly perturbed nonlinear elliptic problem on manifolds via Morse theory
singular perturbation nondegenerate critical points Morse theory
2011/2/28
Given (M, g0) we consider the problem −"2g0+hu + u = (u+)p−1 with (", h) ∈ (0, ¯") × B. Here B is a ball centered at 0 with radius in the Banach space of all Ck symmetric covaria...
Estimates of the Green function for the fractional Laplacian perturbed by gradient
Estimates of the Green function fractional Laplacian
2010/12/6
The Green function of the fractional Laplacian of the differential order bigger than one and the Green function of its gradient perturba-tions are comparable for bounded smooth multidimensional open s...
Pseudo almost periodic solutions of a singularly perturbed differential equation with piecewise constant argument
Singular perturbation Pseudo-almost periodic solutions Pseudo-almost periodic sequences Piecewise constant argument
2007/12/11
Under suitable assumptions, the existence and the uniqueness of the pseudo-almost periodic solution for a singularly perturbed differential equation with piecewise constant argument are obtained. In a...