Results 41 to 50 of about 74 (68)

Multiplicity Results for a (p1(x), p2(x))‐Laplacian Equation via Variational Methods

Journal of Mathematics, Volume 2024, Issue 1, 2024.
We prove the existence and multiplicity of nontrivial weak solutions for the following (p1(x), p2(x))‐Laplacian equation involving variable exponents: −div∇up1x−2∇u−div∇up2x−2∇u+up2x−2u=λhx,u,inΩ,u=0,on∂Ω. Using Ricceri’s variational principle, we show the existence of at least three weak solutions for the problem.
A. Rezvani, Dengfeng Lü
wiley   +1 more source

Existence of Multiple High‐Energy Solutions for a Kind of Superlinear Second‐Order Elliptic Equations

Journal of Mathematics, Volume 2024, Issue 1, 2024.
In this paper, we intend to consider infinitely many high energy solutions for a kind of superlinear Klein–Gordon–Maxwell systems. Under some suitable assumptions on the potential function and nonlinearity, by using variational methods and the method of Nehari manifold, we obtain the existence result of infinitely many high energy solutions for this ...
Fangfang Huang, Qiongfen Zhang, M. Palanivel   +2 more
wiley   +1 more source

Multiplicity of ground state solutions for discrete nonlinear Schrodinger equations with unbounded potentials

Electronic Journal of Differential Equations, 2017
The discrete nonlinear Schrodinger equation is a nonlinear lattice system that appears in many areas of physics such as nonlinear optics, biomolecular chains and Bose-Einstein condensates.
Xia Liu, Tao Zhou, Haiping Shi
doaj  

Periodic and Antiperiodic Solutions for a Second‐Order Hamiltonian System With Nonlinearity Depending on Derivative

Journal of Function Spaces, Volume 2024, Issue 1, 2024.
Some existence results of periodic solution are obtained for a class of second‐order Hamiltonian systems with nonlinearity depending on derivative. We prove that there exists T0 > 0 such that, for any T < T0, the provided Hamiltonian system has a nontrivial T‐periodic and T/2‐antiperiodic solution via linking theorem and iteration method.
Wenxiong Chen, Shibo Liu, Wilfredo Urbina   +2 more
wiley   +1 more source

Existence of infinitely many solutions for degenerate Kirchhoff-type Schrodinger-Choquard equations

Electronic Journal of Differential Equations, 2017
In this article we study a class of Kirchhoff-type Schrodinger-Choquard equations involving the fractional p-Laplacian. By means of Kajikiya's new version of the symmetric mountain pass lemma, we obtain the existence of infinitely many solutions ...
Sihua Liang, Vicentiu D. Radulescu
doaj  

Existence of infinitely many small solutions for sublinear fractional Kirchhoff-Schrodinger-Poisson systems

Electronic Journal of Differential Equations, 2019
We study the Kirchhoff-Schrodinger-Poisson system $$\displaylines{ m([u]_{\alpha}^2)(-\Delta)^\alpha u+V(x)u+k(x)\phi u = f(x,u), \quad x\in\mathbb{R}^3,\cr (-\Delta)^\beta \phi = k(x)u^2, \quad x\in\mathbb{R}^3, }$$ where $[\cdot]_{\alpha ...
Jose Carlos de Albuquerque, Rodrigo Clemente, Diego Ferraz   +2 more
doaj  

Fast homoclinic solutions for damped vibration problems under local conditions

Journal of Inequalities and Applications
In this paper, we study the fast homoclinic solutions for the following damped vibration problems u ¨ ( t ) + q ( t ) u ˙ ( t ) − L ( t ) u ( t ) + ∇ W ( t , u ( t ) ) = 0 $\ddot{u}(t)+q(t)\dot{u}(t)-L(t)u(t)+\nabla W(t,u(t))=0$ , ∀ t ∈ R $\forall t \in \
Wen-Kai Li, Xin Xu, Chun-Ping Huang, Li-Li Wan   +3 more
doaj   +1 more source

Infinitely many solutions for Schrodinger-Kirchhoff type equations involving the fractional p-Laplacian and critical exponent

Electronic Journal of Differential Equations, 2016
In this article, we show the existence of infinitely many solutions for the fractional p-Laplacian equations of Schrodinger-Kirchhoff type equation $$ M([u]_{s, p}^p) (-\Delta )_p^s u+V(x)|u|^{p-2}u= \alpha |u|^{ p_s^{*}-2 }u+\beta k(x)|u|^{q-2}u ...
Li Wang, Binlin Zhang
doaj  

Multiple solutions for Kirchhoff type systems involving singular and critical nonlinearities

Electronic Journal of Differential Equations
This article investigates the fractional singular Kirchhoff system $$\displaylines{ m(\mathcal{N}(\phi,\psi))\mathcal{L}_\mathcal{K}^p(\phi) =\lambda a(x)\phi^{-\gamma_1}+\frac{\theta_1}{p^\star_{N,s}}\phi^{\theta_1-1} \psi^{\theta_2} \quad \text{in ...
Mohamed Louchaich
doaj   +1 more source

Multiplicity of solutions for elliptic boundary value problems

Electronic Journal of Differential Equations, 2014
In this article, we study the existence of infinitely many solutions for the semilinear elliptic equation $-\Delta u+a(x)u=f(x,u)$ in a bounded domain of $\mathbb{R}^N$ $(N\geq 3)$ with the Dirichlet boundary conditions, where the primitive of the ...
Yiwei Ye
doaj