Results 111 to 120 of about 317,499 (205)

Multiplicity of positive solutions for critical singular elliptic systems with sign-changing weight function

Electronic Journal of Qualitative Theory of Differential Equations, 2012
In this paper, the existence and multiplicity of positive solutions for a critical singular elliptic system with concave and convex nonlinearity and sign-changing weight function, are established.
Huixing Zhang
doaj   +1 more source

The minimal periodic solutions for superquadratic autonomous Hamiltonian systems without the Palais-Smale condition [PDF]

arXiv
In this paper, we prove the existence of periodic solutions with any prescribed minimal period $T>0$ for even second order Hamiltonian systems and convex first order Hamiltonian systems under the weak Nehari condition instead of Ambrosetti-Rabinowitz's.
arxiv  

On the extreme value of the Nehari manifold method for a class of Schrödinger equations with indefinite weight functions [PDF]

arXiv, 2019
In this work we are concerned with the following class of equations \[ -\Delta_p u -\lambda h(x)|u|^{p-2}u=f(x)|u|^{\gamma-2}u, \quad \mbox{in } \mathbb{R}^N, \] involving indefinite weight functions. The existence of solution may depend on the parameter $\lambda$.
arxiv  

Prescribed energy solutions to some scaled problems via a scaled Nehari manifold [PDF]

arXiv
We prove the existence, multiplicity, and bifurcation of solutions with prescribed energy for a broad class of scaled problems by introducing a suitable notion of scaling based Nehari manifold. Applications are given to Schr\"{o}dinger--Poisson--Slater type equations.
arxiv  

Nehari manifold and multiplicity result for elliptic equation involving p-laplacian problems

Boletim da Sociedade Paranaense de Matemática, 2018
This article shows the existence and multiplicity of positive solutions of the $p$-Laplacien problem $$\displaystyle -\Delta_{p} u=\frac{1}{p^{\ast}}\frac{\partial F(x,u)}{\partial u} + \lambda a(x)|u|^{q-2}u \quad \mbox{for } x\in\Omega;\quad \quad u=0,\quad \mbox{for } x\in\partial\Omega$$ where $\Omega$ is a bounded open set in $\mathbb{R}^n$ with ...
Abdeljabbar Ghanmi, Khaled Ben Ali
openaire   +4 more sources

Multiplicity of Positive Solutions of laplacian systems with sign-changing weight functions

Sahand Communications in Mathematical Analysis, 2014
In this paper, we study the multiplicity of positive solutions for the Laplacian systems with sign-changing weight functions. Using the decomposition of the Nehari manifold, we prove that an elliptic system has at least two positive solutions.
Seyyed Sadegh Kazemipoor, Mahboobeh Zakeri   +1 more
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

Correction To: Existence Results for Fractional p(x, .)-Laplacian Problem Via the Nehari Manifold Approach [PDF]

, 2020
Elhoussine Azroul, Abdelmoujib Benkirane, Athmane Boumazourh, Mohammed Shimi   +3 more
openalex   +1 more source

Existence and multiplicity of positive solutions for indefinite semilinear elliptic problems in R^N

Electronic Journal of Differential Equations, 2014
In this article, we study a class of indefinite semilinear elliptic problems in R^N. By using the fibering maps and studying some properties of the Nehari manifold, we obtain the existence and multiplicity of positive solutions.
Yi-Hsin Cheng, Tsung-Fang Wu
doaj  

Localization of critical points in annular conical sets via the method of Nehari manifold [PDF]

arXiv
Using the Nehari manifold method, we establish sufficient conditions such that a smooth functional attains a ground state within an annular domain of a closed cone. The localization we obtain immediately allows for multiplicity when applied to disjoint conical sets.
arxiv