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20092017
most citedProfile of solutions for nonlocal equations with critical and supercritical nonlinearities

11 citations · 11 across the 4 of their papers we have counts for

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math.AP2010

New entire positive solution for the nonlinear Schrodinger equation: Coexistence of fronts and bumps

Sanjiban Santra, Juncheng Wei

In this paper we construct a new kind of positive solutions of $$\De u-u+u^{p}=0 \text{on} \R^2$$ when These solutions $\displaystyle{u(x,z)\sim \om(x-f(z))+ \sum_{i=1}^{\i…