4 papers
The double phase problems on lattice graphs
Zhentao He, Chao Ji
In this paper, we first develop the theory of Musielak-Orlicz spaces on locally finite graphs, including completeness, reflexivity, separability, and so on. Then, we give some elem…
Existence and multiplicity of solutions for the logarithmic Schrödinger equation with a potential on lattice graphs
Zhentao He, Chao Ji
In this paper, we consider the existence and multiplicity of solutions for the logarithmic Schrödinger equation on lattice graphs $$ -Δu+V(x) u=u \log u^2, \quad x \…
Nodal solutions for the double phase problems
Chao Ji, Nikolaos S. Papageorgiou
We consider a parametric nonautonomous -equation with unbalanced growth as follows \begin{align*} \left\{ \begin{aligned} &-Δ_p^αu(z)-Δ_q u(z)=λ\vert u(z)\vert^{τ-2}u(z)+f(…
Standing waves for the Chern-Simons-Schrodinger equation with critical exponential growth
Chao Ji, Fei Fangb
In this paper, by combing the variational methods and Trudinger-Moser inequality, we study the existence and multiplicity of the positive standing wave for the following Chern-Simo…