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Doubly-Weighted Pseudo-Almost Periodic Functions
pseudo almost periodic weight doubly-weighted pseudo-almost periodic
2011/1/21
We introduce and study a new concept called doubly-weighted pseudo-almost periodicity, which generalizes the notion of weighted pseudo-almost periodicity due to Diagana. Properties of such a new conce...
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...
Symplectic generic complex structures on 4-manifolds with b_+ = 1
Symplectic generic complex structures 4-manifolds with b_+ = 1
2011/2/21
We study symplectic structures on K¨ahler surfaces with pg = 0. We give an example of a projective surface which admits a symplectic structure which is not compatible with any K¨ahler metric.