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math.AP2014★ 1 cited
Standing waves for a class of Schrödinger-Poisson equations in involving critical Sobolev exponents
Yi He, Gongbao Li
We are concerned with the following Schrödinger-Poisson equation with critical nonlinearity: \[\left\{\begin{gathered} - {\varepsilon ^2}Δu + V(x)u + ψu = λ|u{|^{p - 2}}u + |u{|^4}…
math.AP2013★ 14 cited
Concentrating Bound States for Kirchhoff type problems in involving critical Sobolev exponents
Yi He, Gongbao LI, Shuangjie Peng
We study the concentration and multiplicity of weak solutions to the Kirchhoff type equation with critical Sobolev growth \[\left\{\begin{gathered} - \Bigl({\varepsilon ^2}a + \var…