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math.AP2017
Semi-classical states for the nonlinear Choquard equations: existence, multiplicity and concentration at a potential well
Silvia Cingolani, Kazunaga Tanaka
We study existence and multiplicity of semi-classical states for the nonlinear Choquard equation: $$ -\varepsilon^2Δv+V(x)v = \frac{1}{\varepsilon^α}(I_α*F(v))f(v) \quad \hbox{in}\…
math.AP2017
Remarks on the Clark theorem
Guosheng Jiang, Kazunaga Tanaka, Chengxiang Zhang
The Clark theorem is important in critical point theory. For a class of even functionals it ensures the existence of infinitely many negative critical values converging to and…