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math.AP2018★ 2 cited
Multiplicity and concentration of nontrivial solutions for the generalized extensible beam equations
Juntao Sun, Tsung-fang Wu
In this paper, we study a class of generalized extensible beam equations with a superlinear nonlinearity \begin{equation*} \left\{ \begin{array}{ll} Δ^{2}u-M\left( \Vert \nabla u\V…
math.AP2018
Bound state nodal solutions for the non-autonomous Schrödinger--Poisson system in
Juntao Sun, Tsung-fang Wu
In this paper, we study the existence of nodal solutions for the non-autonomous Schrödinger--Poisson system: \begin{equation*} \left\{ \begin{array}{ll} -Δu+u+λK(x) ϕu=f(x) |u|^{p-…
math.AP2018
The effect of nonlocal term on the superlinear Kirchhoff type equations in
Juntao Sun, Tsung-fang Wu
We are concerned with a class of Kirchhoff type equations in as follows: \begin{equation*} \left\{ \begin{array}{ll} -M\left( \int_{\mathbb{R}^{N}}|\nabla u|^{2}dx…