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math.AP2012★ 4 cited
Infinitely many positive solutions for nonlinear equations with non-symmetric potential
Weiwei Ao, Juncheng Wei
We consider the following nonlinear Schrodinger equation [{l} Δu-(1+δV)u+f(u)=0 in \R^N, u>0 in \R^N, u\in H^1(\R^N).] where is a potential satisfying some decay condition and…
math.AP2012
An optimal bound on the number of interior spike solutions for Lin-Ni-Takagi problem
Weiwei Ao, Juncheng Wei, Jing Zeng
We consider the following singularly perturbed Neumann problem {eqnarray*} \ve^2 Δu -u +u^p = 0 \quad {in} \quad Ω, \quad u>0 \quad {in} \quad Ω, \quad {\partial u \over \partial ν…