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math.AP2013★ 2 cited
Segregated Vector Solutions for linearly coupled Nonlinear Schrödinger Systems
Chang-Shou Lin, Shuangjie Peng
We consider the following system linearly coupled by nonlinear Schrödinger equations in $$ \left\{\begin{array}{ll} -Δu_j+u_j=u^3_j-\va\sum\limits_{i\neq j}^N u_i,\{1cm}& x\…
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…