5 papers · 1 filter
Multiplicity and uniqueness of positive solutions for a superlinear-singular -Laplacian equation on locally finite graphs
Xuechen Zhang, Xingyong Zhang
We investigate the multiplicity and uniqueness of positive solutions for the superlinear singular -Laplacian equation \begin{eqnarray*} \begin{cases} -Δ_p u-Δ_q u+a(x)u^{p-1…
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…
Existence and convergence of ground state solutions for a -Laplacian system on weighted graphs
Xuechen Zhang, Xingyong Zhang
We investigate the existence of ground state solutions for a -Laplacian system with and potential wells on a weighted locally finite graph . By making use o…
Existence of ground state sign-changing solutions for a class of quasilinear scalar field equations originating from nonlinear optics
Xingyong Zhang, Xiaoli Yu
This paper is mainly concerned with the existence of ground state sign-changing solutions for a class of second order quasilinear elliptic equations in bounded domains which derive…
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…