Results 71 to 80 of about 521 (162)

The Nehari manifold approach for singular equations involving the p(x)-Laplace operator [PDF]

, 2021
Dušan Repovš, Kamel Saoudi
openalex   +1 more source

Multiple positive solutions for Kirchhoff problems with sign-changing potential

Electronic Journal of Differential Equations, 2015
In this article, we study the existence and multiplicity of positive solutions for a class of Kirchhoff type equations with sign-changing potential. Using the Nehari manifold, we obtain two positive solutions.
Gao-Sheng Liu, Chun-Yu Lei, Liu-Tao Guo, Hong Rong   +3 more
doaj  

Infinitely Many Nontrivial Solutions of Resonant Cooperative Elliptic Systems with Superlinear Terms

Abstract and Applied Analysis, 2014
We study a class of resonant cooperative elliptic systems and replace the Ambrosetti-Rabinowitz superlinear condition with general superlinear conditions.
Guanwei Chen, Shiwang Ma
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

Multiplicity of positive solutions for a Navier boundary-value problem involving the p-biharmonic with critical exponent

Electronic Journal of Differential Equations, 2011
By using the Nehari manifold and variational methods, we prove that a p-biharmonic system has at least two positive solutions when the pair the parameters satisfy certain inequality.
Ying Shen, Jihui Zhang
doaj  

Gluing approximate solutions of minimum type on the Nehari manifold

Electronic Journal of Differential Equations, 2001
In the last decade or so, variational gluing methods have been widely used to construct homoclinic and heteroclinic type solutions of nonlinear elliptic equations and Hamiltonian systems.
Yanyan Li, Zhi-Qiang Wang
doaj  

Standing Wave Solutions for the Discrete Coupled Nonlinear Schrödinger Equations with Unbounded Potentials

Abstract and Applied Analysis, 2013
We demonstrate the existence of standing wave solutions of the discrete coupled nonlinear Schrödinger equations with unbounded potentials by using the Nehari manifold approach and the compact embedding theorem.
Meihua Huang, Zhan Zhou
doaj   +1 more source

Nehari manifold approach for fractional Kirchhoff problems with extremal value of the parameter

Fractional Calculus and Applied Analysis
In this work we study the following nonlocal problem \begin{equation*} \left\{ \begin{aligned} M(\|u\|^2_X)(-Δ)^s u&= λ{f(x)}|u|^{γ-2}u+{g(x)}|u|^{p-2}u &&\mbox{in}\ \ Ω, u&=0 &&\mbox{on}\ \ \mathbb R^N\setminus Ω, \end{aligned} \right.
Mishra, P. K., Tripathi, V. M.
openaire   +2 more sources

The Nehari manifold for a Kirchhoff type problem involving sign-changing weight functions

Journal of Differential Equations, 2011
AbstractThis paper examines a class of Kirchhoff type equations that involve sign-changing weight functions. Using Nehari manifold and fibering map, the existence of multiple positive solutions is established.
Ching-yu Chen, Tsung-fang Wu, Yueh-Cheng Kuo   +2 more
openaire   +2 more sources

A Note on the Minimal Period Problem for Second Order Hamiltonian Systems

Abstract and Applied Analysis, 2014
We study periodic solutions of second order Hamiltonian systems with even potential. By making use of generalized Nehari manifold, some sufficient conditions are obtained to guarantee the multiplicity and minimality of periodic solutions for second order
Huafeng Xiao
doaj   +1 more source