Results 41 to 50 of about 8,805 (153)

Existence and multiplicity of non-trivial solutions for the fractional Schrödinger–Poisson system with superlinear terms

Boundary Value Problems, 2019
In this paper, we study the following fractional Schrödinger–Poisson system with superlinear terms {(−Δ)su+V(x)u+K(x)ϕu=f(x,u),x∈R3,(−Δ)tϕ=K(x)u2,x∈R3, $$ \textstyle\begin{cases} (-\Delta )^{s}u+V(x)u+K(x)\phi u=f(x,u), & x \in \mathbb{R}^{3 ...
Yan He, Lei Jing
doaj   +1 more source

Numerical Study of a Nonlocal Nonlinear Schrödinger Equation (MMT Model)

Studies in Applied Mathematics, Volume 156, Issue 3, March 2026.
ABSTRACT In this paper, we study a nonlocal nonlinear Schrödinger equation (MMT model). We investigate the effect of the nonlocal operator appearing in the nonlinearity on the long‐term behavior of solutions, and we identify the conditions under which the solutions of the Cauchy problem associated with this equation are bounded globally in time in the ...
Amin Esfahani, Gulcin M. Muslu
wiley   +1 more source

Existence and multiplicity of solutions for a differential inclusion problem involving the p(x)-Laplacian

Electronic Journal of Differential Equations, 2010
In this article we consider the differential inclusion $$displaylines{ -hbox{div}(| abla u|^{p(x)-2} abla u)in partial F(x,u) quadhbox{in }Omega,cr u=0 quad hbox{on }partial Omega }$$ which involves the $p(x)$-Laplacian.
Guowei Dai
doaj  

Study on Mechanical Behavior of Longitudinal Wet Joints of Prefabricated Assembled Beam

Advances in Civil Engineering, Volume 2026, Issue 1, 2026.
This study investigates the impact of various interface construction techniques on the bending strength of longitudinal wet joints in bridge superstructures through experimentation. A functional relationship between measured bending strength and theoretical shear strength values is established by finite element simulation.
Keke Peng, Qiming Pan, Arnab Biswas
wiley   +1 more source

Multiobjective Optimization for Torsional Stiffness of Antiroll Bar on Trucks

Shock and Vibration, Volume 2026, Issue 1, 2026.
The antiroll bar (ARB) plays an important role in reducing the rollover phenomenon and uneven load distribution between the wheels on an axle, thus enhancing the safety and roll stability of vehicles. This study proposes a method for optimizing the torsional stiffness of the ARB on trucks, with three main objectives: (1) building a general model of a ...
Ngo Van Dung, Van Tan Vu, Truong Manh Hung, Do Trong Tu, Marco Civera   +4 more
wiley   +1 more source

Multiple solutions for Schrodinger-Maxwell systems with unbounded and decaying radial potentials

Electronic Journal of Differential Equations, 2014
This article concerns the nonlinear Schrodinger-Maxwell system $$\displaylines{ -\Delta u +V(|x|)u +Q(|x|)\phi u=Q(|x|) f(u),\quad \hbox{in } \mathbb{R}^3\cr -\Delta \phi =Q(|x|) u^{2}, \quad \hbox{in } \mathbb{R}^3 }$$ where V and Q are unbounded ...
Fangfang Liao, Xiaoping Wang, Zhigang Liu   +2 more
doaj  

Multiple Solutions for a Critical Steklov Kirchhoff Equation

Fractal and Fractional
In the present work, we study some existing results related to a new class of Steklov p(x)-Kirchhoff problems with critical exponents. More precisely, we propose and prove some properties of the associated energy functional. In the first existence result,
Maryam Ahmad Alyami, Abdeljabbar Ghanmi
doaj   +1 more source

Asymptotically linear fractional Schrodinger equations

, 2014
By exploiting a variational technique based upon projecting over the Pohozaev manifold, we prove existence of positive solutions for a class of nonlinear fractional Schrodinger equations having a nonhomogenous nonautonomous asymptotically linear ...
Lehrer, Raquel, Maia, Liliane A., Squassina, Marco   +2 more
core   +1 more source

Normalized solutions of the critical Schrödinger–Bopp–Podolsky system with logarithmic nonlinearity

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract In this paper, we study the following critical Schrödinger–Bopp–Podolsky system driven by the p$p$‐Laplace operator and a logarithmic nonlinearity: −Δpu+V(εx)|u|p−2u+κϕu=λ|u|p−2u+ϑ|u|p−2ulog|u|p+|u|p*−2uinR3,−Δϕ+a2Δ2ϕ=4π2u2inR3.$$\begin{equation*} {\begin{cases} -\Delta _p u+\mathcal {V}(\varepsilon x)|u|^{p-2}u+\kappa \phi u=\lambda |u|^{p-2 ...
Sihua Liang, Xueqi Sun, Shuaishuai Liang, Vicenţiu D. Rădulescu   +3 more
wiley   +1 more source

Existence and multiplicity of solutions for a quasilinear system with locally superlinear condition

Advances in Nonlinear Analysis, 2023
We investigate the existence and multiplicity of weak solutions for a nonlinear Kirchhoff type quasilinear elliptic system on the whole space RN{{\mathbb{R}}}^{N}. We assume that the nonlinear term satisfies the locally super-(m1,m2)\left({m}_{1},{m}_{2})
Liu Cuiling, Zhang Xingyong
doaj   +1 more source