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math.AP2022
Normalized solutions to Kirchhoff type equations with a critical growth nonlinearity
Jian Zhang, Jianjun Zhang, Xuexiu Zhong
In this paper, we are concerned with normalized solutions of the Kirchhoff type equation \begin{equation*} -M\left(\int_{\R^N}|\nabla u|^2\mathrm{d} x\right)Δu = λu +f(u) \ \ \math…
math.AP2022
The existence and multiplicity of solutions for general quasi-linear elliptic equations with sub-cubic nonlinearity
Chen Huang, Jianjun Zhang, Xuexiu Zhong
We consider the existence and multiplicity of solutions for a class of quasi-linear Schrödinger equations which include the modified nonlinear Schrödinger equations. A new perturba…