5 papers · 1 filter
Existence of a nonnegative bound state for a higher-order logarithmic Schrödinger equation
Xin Ou, Xingyong Zhang, Yanhong Li
In this paper, we study the existence of nonnegative bound states for the higher-order logarithmic Schrödinger equation $$ -αΔu+V(x)u-βu\ln|u| = γu(\ln|u|)^m, \qquad u\in H^1(\math…
Least energy solutions of two asymptotically cubic Kirchhoff equations on locally finite graphs
Zhangyi Yu, Xingyong Zhang, Xin Ou
We study the existence of least energy solutions for two Kirchhoff equations with the asymptotically cubic nonlinearity on a locally weighted and connected finite…
Dependence on parameters of solutions for a generalized poly-Laplacian system on weighted graphs
Xiaoyu Wang, Junping Xie, Xingyong Zhang +1
We mainly investigate the continuous dependence on parameters of nontrivial solutions for a generalized poly-Laplacian system on the weighted finite graph . We firstly pr…
Ground state sign-changing homoclinic solutions for a discrete nonlinear -Laplacian equation with logarithmic nonlinearity
Xin Ou, Xingyong Zhang
By using a direct non-Nehari manifold method from [X.H. Tang, B.T. Cheng. J. Differ. Equations. 261(2016), 2384-2402.], we obtain an existence result of ground state sign-changing…
Ground state sign-changing solutions for Kirchhoff-type equations with logarithmic nonlinearity on locally finite graphs
Xin Ou, Xingyong Zhang
We obtain the existence results of ground state sign-changing solutions and ground state solutions for a class of Kirchhoff-type equations with logarithmic nonlinearity on a locall…