Results 1 to 10 of about 184 (121)

Equivalent Lagrangians and the Inverse Variational Problem with Applications

, 2004
We show how the study of the invariance of the functional in the varia­tional problem is used for the construction of Lagrangians for some target equations from equations whose Lagrangians are known.
Kara, A.H.
core  

Standing-wave solutions to a system of non-linear Klein–Gordon equations with a small energy/charge ratio

Advances in Nonlinear Analysis, 2014
We prove the existence of standing-wave solutions to a system of non-linear Klein–Gordon equations on ℝN with N ≥ 3. Our solutions are characterised by a small energy/charge ratio, appropriately defined.
Garrisi Daniele
doaj   +1 more source

Existence and multiplicity of entire solutions for fractional p-Kirchhoff equations

Advances in Nonlinear Analysis, 2016
The purpose of this paper is mainly to investigate the existence of entire solutions of the stationary Kirchhoff type equations driven by the fractional p-Laplacian operator in ℝN.
Pucci Patrizia, Xiang Mingqi, Zhang Binlin   +2 more
doaj   +1 more source

Degenerate Elastic Networks. [PDF]

J Geom Anal, 2021
Del Nin G, Pluda A, Pozzetta M.
europepmc   +1 more source

Infinitely many normalized solutions for Schrödinger equations with local sublinear nonlinearity

Demonstratio Mathematica
In this article, we investigate the following Schrödinger equation: −Δu=h(x)g(u)+λuinRN,∫RN∣u∣2dx=au∈H1(RN),\left\{\begin{array}{ll}-\Delta u=h\left(x)g\left(u)+\lambda u\hspace{1.0em}& \hspace{-0.2em}\text{in}\hspace{0.1em}\hspace{0.33em}{{\mathbb{R}}}^{
Xu Qin, Li Gui-Dong
doaj   +1 more source

A uniqueness result for the fractional Schrödinger-Poisson system with strong singularity

Open Mathematics
This article considers existence of solution for a class of fractional Schrödinger-Poisson system. By using the Nehari method and the variational method, we obtain a uniqueness result for positive solutions.
Wang Li, Chen Renhua, Zhong Qiaocheng, Wang Jun, Li Fang   +4 more
doaj   +1 more source

Standing waves for Choquard equation with noncritical rotation

Advances in Nonlinear Analysis
We investigate the existence and stability of standing waves with prescribed mass c>0c\gt 0 for Choquard equation with noncritical rotation in Bose-Einstein condensation. Then, we consider the mass collapse behavior of standing waves, the ratio of energy
Mao Yicen, Yang Jie, Su Yu
doaj   +1 more source

On a Volume Constrained Variational Problem

, 1998
Existence of minimizers for a volume constrained energy E(u) := Z \Omega W (ru)dx where L N (fu = z i g) = ff i ; i = 1; : : : ; P; is proved in the case where z i are extremal points of a compact, convex set in R d and under suitable assumptions ...
Irene Fonseca, Luigi Ambrosio, Luc Tartar, Paolo Marcellini   +3 more
core  

The Variational Formulation of the Fokker-Planck Equation

, 2002
The Fokker{Planck equation, or forward Kolmogorov equation, describes the evolution of the probability density for a stochastic process associated with an Ito stochastic dierential equation.
Felix Otto, David Kinderlehrer, Richard Jordan   +2 more
core  

Existence results for non-coercive problems

Advances in Nonlinear Analysis
In this article, we investigate non-coercive variational equations under assumptions related to generalized monotonicity. We present some general abstract tools regarding the existence of bounded solutions and their multiplicity, which we then apply to ...
Diblík Josef, Galewski Marek, Šmarda Zdenĕk   +2 more
doaj   +1 more source