Results 41 to 50 of about 1,452,798 (281)
Infinitely many solutions to perturbed elliptic equations
Journal of Functional Analysis, 2005 AbstractA new version of perturbation theory is developed which produces infinitely many sign-changing critical points for uneven functionals. The abstract result is applied to the following elliptic equations with a Hardy potential and a perturbation from symmetry:-Δu-μu|x|2=f(x,u)+p(x,u) in Ω,u=0 on ∂Ωand-Δu=|u|q-2|x|su+p(x,u) in Ω,u=0 on ∂Ω,where ...
Wenming Zou, Martin Schechter
openaire +2 more sources
Two-breather solutions for the class I infinitely extended nonlinear Schrodinger equation and their special cases [PDF]
Nonlinear Dynamics 98, 1(2019) 245-255, 2020 We derive the two-breather solution of the class I infinitely extended nonlinear Schrodinger equation (NLSE). We present a general form of this multi-parameter solution that includes infinitely many free parameters of the equation and free parameters of the two breather components.
arxiv +1 more source
Infinitely many normalized solutions for a quasilinear Schrodinger equation [PDF]
arXiv, 2023 In this paper, we are concerned with a quasilinear Schrodinger equation with well-known Berestycki--Lions nonliearity. The existence of infinitely many normalized solutions is obtained via a minimax argument.
arxiv
Infinitely many segregated vector solutions of Schrodinger system [PDF]
Journal of Mathematical Analysis and Applications, 2022 We consider the following system of Schr dinger equations \begin{equation*}\left.\begin{cases} - U + U = _0 U^3+ UV^2 - V + (y) V = _1 V^3+ U^2V \end{cases}\right. \text{in} \quad \mathbb{R}^N, \ N=2, 3,\end{equation*} where $ $, $ _0$, $ _1>0$ are positive constants, $ \in \mathbb{R}$ is the coupling constant, and $ : \mathbb{R ...
Ohsang Kwon, Min-Gi Lee, Youngae Lee
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Non-Uniqueness and prescribed energy for the continuity equation [PDF]
, 2014 In this note we provide new non-uniqueness examples for the continuity equation by constructing infinitely many weak solutions with prescribed ...
Crippa, Gianluca +3 more
core +2 more sources
Infinitely Many Solutions of Strongly Indefinite Semilinear Elliptic Systems
Boundary Value Problems, 2009 We proved a multiplicity result for strongly indefinite semilinear elliptic systems −Δu+u=±1/(1+|x|a)|v|p−2v in ℝN, −Δv+v=±1/(1+|x|b)|u|q−2u in ℝN where a and b are positive numbers ...
Kuan-Ju Chen
doaj +2 more sources
Existence of infinitely many solutions for a nonlocal elliptic PDE involving singularity [PDF]
Positivity (Dordrecht), 2018 In this article, we will prove the existence of infinitely many positive weak solutions to the following nonlocal elliptic PDE. (-Δ)su=λuγ+f(x,u)inΩ,u=0inRN\Ω,\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts ...
Sekhar Ghosh, D. Choudhuri
semanticscholar +1 more source
A potential system with infinitely many critical periods [PDF]
arXiv, 2022 In this paper, we propose an analytical non-polynomial potential system which has infinitely many critical periodic orbits in phase plane. By showing the existence of infinitely many $2\pi-$ periodic solutions, the proof bases on variational methods and the properties of Bessel function.
arxiv
Infinitely many periodic solutions for ordinary p-Laplacian systems
Advances in Nonlinear Analysis, 2015 Some existence theorems are obtained for infinitely many periodic solutions of ordinary p-Laplacian systems by minimax methods in critical point theory.
Li Chun, Agarwal Ravi P., Tang Chun-Lei
doaj +1 more source
The Lagrangian Conley Conjecture
, 2010 We prove a Lagrangian analogue of the Conley conjecture: given a 1-periodic Tonelli Lagrangian with global flow on a closed configuration space, the associated Euler-Lagrange system has infinitely many periodic solutions.
Mazzucchelli, Marco
core +3 more sources