Results 1 to 10 of about 3,662,481 (292)

Double linking theorem and multiple solutions

Journal of Functional Analysis, 2003
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Schechter, M., Zou, W.
openaire   +2 more sources

Multiple solutions for a Kirchhoff-type equation with general nonlinearity

, 2016
This paper is devoted to the study of the following autonomous Kirchhoff-type equation $$-M\left(\int_{\mathbb{R}^N}|\nabla{u}|^2\right)\Delta{u}= f(u),~~~~u\in H^1(\mathbb{R}^N),$$ where $M$ is a continuous non-degenerate function and $N\geq2$.
Lu, Sheng-Sen
core   +1 more source

Multiple solutions for nonresonance impulsive functional differential equations

Electronic Journal of Differential Equations, 2003
In this paper we investigate the existence of multiple solutions for first and second order impulsive functional differential equations with boundary conditions. Our main tool is the Leggett and Williams fixed point theorem.
Mouffak Benchohra, Abdelghani Ouahab
doaj  

Superlinear Schrödinger–Kirchhoff type problems involving the fractional p–Laplacian and critical exponent

Advances in Nonlinear Analysis, 2019
This paper concerns the existence and multiplicity of solutions for the Schrődinger–Kirchhoff type problems involving the fractional p–Laplacian and critical exponent.
Xiang Mingqi, Zhang Binlin, Rădulescu Vicenţiu D.   +2 more
doaj   +1 more source

Steklov problems involving the p(x)-Laplacian

Electronic Journal of Differential Equations, 2014
Under suitable assumptions on the potential of the nonlinearity, we study the existence and multiplicity of solutions for a Steklov problem involving the p(x)-Laplacian. Our approach is based on variational methods.
Ghasem A. Afrouzi, Armin Hadjian, Shapour Heidarkhani   +2 more
doaj  

Thermal and stability analysis of silver–water nanofluid flow over unsteady stretching sheet under the influence of heat generation/absorption at the boundary

Nanotechnology Reviews
The aim of this study is to examine a numerical analysis of nanofluid (NF) containing silver (Ag) nanoparticles using water (H2O) as a host fluid through an unsteady stretching sheet with stability analysis.
Shah Nehad Ali, Alabduljabbar Areej Abdullah, Zeeshan, Yook Se-Jin   +3 more
doaj   +1 more source

Combined effects of Choquard and singular nonlinearities in fractional Kirchhoff problems

Advances in Nonlinear Analysis, 2020
The aim of this paper is to study the existence and multiplicity of solutions for a class of fractional Kirchho problems involving Choquard type nonlinearity and singular nonlinearity.
Wang Fuliang, Hu Die, Xiang Mingqi
doaj   +1 more source

Existence of multiple solutions and estimates of extremal values for a Kirchhoff type problem with fast increasing weight and critical nonlinearity

Electronic Journal of Differential Equations, 2018
In this article, we study the Kirchhoff type problem $$ -\Big(a+\epsilon\int_{\mathbb{R}^3} K(x)|\nabla u|^2dx\Big)\hbox{div} (K(x)\nabla u)=\lambda K(x)f(x)|u|^{q-2}u+K(x)|u|^{4}u, $$ where $x\in \mathbb{R}^3$, $10$.
Xiaotao Qian, Jianqing Chen
doaj  

Multiple solutions to a Dirichlet problem with p-Laplacian and nonlinearity depending on a parameter

Advances in Nonlinear Analysis, 2012
The homogeneous Dirichlet problem for an elliptic equation with p-Laplacian and concave-convex reaction term depending on a parameter is investigated.
Marano Salvatore A., Papageorgiou Nikolaos S.   +1 more
doaj   +1 more source

Multiplicity of solutions for a perturbed fractional Schrodinger equation involving oscillatory terms

Electronic Journal of Differential Equations, 2018
In this article we study the perturbed fractional Schrodinger equation involving oscillatory terms $$\displaylines{ (-\Delta)^{\alpha} u+u =Q(x)\Big(f(u)+\epsilon g(u)\Big), \quad x\in \mathbb{R}^N\cr u\geq 0, }$$ where $\alpha\in (0, 1)$ and $N>
Chao Ji, Fei Fang
doaj