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most citedPositive normalized solutions to nonlinear elliptic systems in with critical Sobolev exponent

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math.AP2023★ 1 cited

Normalized solutions for logarithmic Schrödinger equation with a perturbation of power law nonlinearity

Wei Shuai, Xiaolong Yang

We study the existence of normalized solutions to the following logarithmic Schrödinger equation \begin{equation*}\label{eqs01} -Δu+λu=αu\log u^2+μ|u|^{p-2}u, \ \ x\in\R^N, \end{eq…