Results 1 to 10 of about 1,189 (83)
Electronic Journal of Qualitative Theory of Differential Equations, 2021 In this paper we consider the following Schrödinger–Kirchhoff–Poisson-type system $$ \begin{cases} -\left(a+b\displaystyle \int_{\Omega}|\nabla u|^{2}dx\right){\Delta}u+\lambda{\phi}u=Q(x)|u|^{p-2}u &\mbox{in}\ {\Omega}, \\ -{\Delta}{\phi}=u^{2}&\mbox{
Shubin Yu, Ziheng Zhang, Rong Yuan
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Sign-Changing Solutions for Kirchhoff-Type Problems with Variable Exponent
Journal of Mathematics, 2023 This paper is devoted to study a class of Kirchhoff-type problems with variable exponent. By means of the perturbation technique, the method of invariant sets for the descending flow and necessary estimates and the existence of infinitely many sign ...
Changmu Chu, Ying Yu
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Infinitely many radial and non-radial sign-changing solutions for Schrödinger equations
Advances in Nonlinear Analysis, 2022 In the present paper, a class of Schrödinger equations is investigated, which can be stated as −Δu+V(x)u=f(u), x∈ℝN.- \Delta u + V(x)u = f(u),\;\;\;\;x \in {{\rm{\mathbb R}}^N}.
Li Gui-Dong, Li Yong-Yong, Tang Chun-Lei
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Multiple sign-changing solutions for nonlinear fractional Kirchhoff equations
Boundary Value Problems, 2018 This paper is concerned with the following nonlinear fractional Kirchhoff equation: (a+b∫R3|(−Δ)s2u|2dx)(−Δ)su+V(x)u=f(u),x∈R3, $$\biggl(a+b \int _{\mathbb{R}^{3}} \bigl\vert (-\Delta )^{\frac{s}{2}}u \bigr\vert ^{2}\,dx \biggr) (- \Delta )^{s}u+V(x)u=f ...
Yang Wang, Yansheng Liu, Yujun Cui
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Multiple solutions of fourth-order difference equations with different boundary conditions
Boundary Value Problems, 2019 In the present paper, a class of fourth-order nonlinear difference equations with Dirichlet boundary conditions or periodic boundary conditions are considered. Based on the invariant sets of descending flow in combination with the mountain pass lemma, we
Yuhua Long, Shaohong Wang, Jiali Chen
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Open Mathematics, 2017 In this paper, we study second-order nonlinear discrete Robin boundary value problem with parameter dependence. Applying invariant sets of descending flow and variational methods, we establish some new sufficient conditions on the existence of sign ...
Long Yuhua, Zeng Baoling
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Boundary Value Problems, 2017 In this paper we study the existence of sign-changing solutions for nonlinear problems involving the fractional Laplacian 0.1 { ( − Δ ) s u − λ u = f ( x , u ) , x ∈ Ω , u = 0 , x ∈ R n ∖ Ω , $$ \left \{ \textstyle\begin{array}{l@{\quad}l} (-\Delta)^{s}u-
Huxiao Luo, Xianhua Tang, Shengjun Li
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Sign-Changing Solutions of Fractional 𝑝-Laplacian Problems
Advanced Nonlinear Studies, 2019 In this paper, we obtain the existence and multiplicity of sign-changing solutions of the fractional p-Laplacian problems by applying the method of invariant sets of descending flow and minimax theory.
Chang Xiaojun +2 more
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Existence and multiplicity of solutions for a new p(x)-Kirchhoff equation
Advances in Nonlinear AnalysisThis article is devoted to study a class of new p(x)p\left(x)-Kirchhoff equation. By means of perturbation technique, variational method, and the method invariant sets for the descending flow, the existence and multiplicity of solutions to this problem ...
Chu Changmu, Liu Jiaquan
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Existence and multiplicity of radial sign-changing solutions for the Schrödinger–Born–Infeld system
Electronic Journal of Qualitative Theory of Differential EquationsThis paper is concerned with the existence and multiplicity of radial sign-changing solutions for a Schrödinger–Born–Infeld system in $\mathbb{R}^3$, involving a general subcritical nonlinearity $f(u)$.
Ting You, Lin Li, Shang-Jie Chen
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