Results 111 to 120 of about 740 (152)

Best constants in subelliptic fractional Sobolev and Gagliardo-Nirenberg inequalities and ground states on stratified Lie groups. [PDF]

Calc Var Partial Differ Equ
Ghosh S, Kumar V, Ruzhansky M.
europepmc   +1 more source

Some applications of the Nehari manifold method to functionals in $C^1(X \setminus \{0\})$

Given a real Banach space $X$, we show that the Nehari manifold method can be applied to functionals which are $C^1$ in $X \setminus \{0\}$. In particular we deal with functionals that can be unbounded near $0$, and prove the existence of a ground state ...
Silva, Kaye, Leite, Edir Junior Ferreira, Quoirin, Humberto Ramos   +2 more
core  

Localization of Critical Points in Annular Conical Sets via the Method of Nehari Manifold

Mediterranean Journal of Mathematics
Abstract 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. To illustrate our results, we consider a two-point boundary
openaire   +2 more sources

Existence of ground states for fractional Kirchhoff equations with general potentials via Nehari-Pohozaev manifold

, 2018
We consider the nonlinear fractional Kirchhoff equation (α + b ∫ℝ3 |(-∆)α/2u|2 dx) (-∆)αu + V(x)u = ƒ(u) in ℝ3, u ∈ Hα (ℝ3), where α > 0, b ≥ 0, α ∈ (3/4, 1) are three constants, V(x) is differentiable and ƒ ∈ C1 (ℝ, ℝ).
Chen, Jing, Tang, Xianhua, Chen, Sitong
core  

Remarks on a class of quasilinear elliptic systems involving the (p,q)-Laplacian

, 2005
We study the Nehari manifold for a class of quasilinear elliptic systems involving a pair of (p,q)-Laplacian operators and a parameter. We prove the existence of a nonnegative nonsemitrivial solution for the systems by discussing properties of the Nehari
Liu, Sanyang, Liu, Xiping, Zhang, Guoqing   +2 more
core  

The Nehari manifold for fractional systems involving critical nonlinearities

Communications on Pure and Applied Analysis, 2016
To appear in Commun.
Xiaoming He, Marco Squassina, Wenming Zou   +2 more
exaly   +7 more sources

The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function

Journal of Differential Equations, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Brown, K.J., Zhang, Yanping
exaly   +4 more sources

The Nehari manifold for elliptic equation involving the square root of the Laplacian

Journal of Differential Equations, 2012
The author proves existence results for solutions of the equation \( A_{1/2}w=\mu w+b(x)| w| ^{\gamma -1}w\) posed in a smooth and bounded domain \(\Omega \) of \(\mathbb{R}^{N}\), \(N\geq 2\), with homogeneous Dirichlet boundary conditions on \(\partial \Omega \).
Xiaohui Yu
exaly   +3 more sources

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

Journal of Differential Equations, 2011
This paper examines a class of Kirchhoff type equations that involve sign-changing weight functions.
Yueh-Cheng Kuo, Tsung-Fang Wu
exaly   +2 more sources

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Nehari Manifold for Weighted Singular Fractional p-Laplace Equations

Bulletin of the Brazilian Mathematical Society, 2022
In this paper, the authors consider weighted singular fractional \(p\)-Laplacian problems involving a bounded weight function. Firstly, some auxiliary results about the \(\psi\)-Riemann-Liouville fractional integral and \(\psi\)-Hilfer fractional derivatives are given.
J Vanterler Da C Sousa, Cesar E Torres Ledesma, Jiabin Zuo   +2 more
exaly   +2 more sources