Results 1 to 10 of about 1,452,798 (281)
Infinitely Many Solutions for Perturbed Hemivariational Inequalities [PDF]
Boundary Value Problems, 2010 We deal with a perturbed eigenvalue Dirichlet-type problem for an elliptic hemivariational inequality involving the -Laplacian. We show that an appropriate oscillating behaviour of the nonlinear part, even under small perturbations, ensures the ...
Molica Bisci Giovanni +1 more
doaj +11 more sources
Infinitely many positive solutions for a Schrödinger–Poisson system [PDF]
Applied Mathematics Letters, 2010 We find infinitely many positive non-radial solutions for a nonlinear Schrodinger-Poisson system.Comment: 23 ...
Pietro d’Avenia +2 more
core +9 more sources
Infinitely many periodic solutions for second order Hamiltonian systems [PDF]
arXiv, 2011 In this paper, we study the existence of infinitely many periodic solutions for second order Hamiltonian systems $\ddot{u}+\nabla_u V(t,u)=0$, where $V(t, u)$ is either asymptotically quadratic or superquadratic as $|u|\to \infty$.
Qingye Zhang, Chungen Lıu
arxiv +6 more sources
Infinitely Many Solutions of Superlinear Elliptic Equation [PDF]
Abstract and Applied Analysis, 2013 Via the Fountain theorem, we obtain the existence of infinitely many solutions of the following superlinear elliptic boundary value problem: −Δu=f(x,u) in Ω,u=0 on ∂Ω, where Ω⊂ℝN (N>2) is a bounded domain with smooth boundary and f is odd in u and ...
Anmin Mao, Yang Li
doaj +6 more sources
Infinitely many solutions for nonhomogeneous Choquard equations [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2019 In this paper, we study the following nonhomogeneous Choquard equation \begin{equation*} \begin{split} -\Delta u+V(x)u=(I_\alpha*|u|^p)|u|^{p-2}u+f(x),\qquad x\in \mathbb{R}^N, \end{split} \end{equation*} where $N\geq3,\alpha\in(0,N),p\in \big[\frac{N ...
Tao Wang, Hui Guo
doaj +2 more sources
INFINITELY MANY SOLUTIONS FOR A NONLOCAL PROBLEM
Journal of Applied Analysis & Computation, 2020 Consider a class of nonlocal problems −(a− b ∫ Ω |∇u|dx)∆u = f(x, u), x ∈ Ω, u = 0, x ∈ ∂Ω, where a > 0, b > 0, Ω ⊂ R is a bounded open domain, f : Ω × R −→ R is a Carathéodory function.
Zhilong Tang, Z. Ou
semanticscholar +3 more sources
Infinitely many radial solutions of an elliptic system [PDF]
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 1987 We consider a system of equations of the form Δu + ∇F(u) = 0 . In this and two subsequent papers we find conditions on F(u) to guarantee that this system has infinitely many radial solutions.
David Terman
openalex +3 more sources
Infinitely many solutions to the Yamabe problem on noncompact manifolds [PDF]
Annales de l’institut Fourier, 2018 We establish the existence of infinitely many complete metrics with constant scalar curvature on prescribed conformal classes on certain noncompact product manifolds.
Bettiol, R., Piccione, P.
core +7 more sources
A new variational method with SPBC and many stable choreographic solutions of the Newtonian 4-body problem [PDF]
Physica D: Nonlinear Phenomena, 307 (2015), 61--76, 2013 After the existence proof of the first remarkably stable simple choreographic motion-- the figure eight of the planar three-body problem by Chenciner and Montgomery in 2000, a great number of simple choreographic solutions have been discovered numerically but very few of them have rigorous existence proofs and none of them are stable. Most important to
Ouyang, Tiancheng, Xie, Zhifu
arxiv +3 more sources
Infinitely Many Traveling Wave Solutions of a Gradient System [PDF]
Transactions of the American Mathematical Society, 1987 We consider a system of equations of the form u t = u x x + ∇ F ( u ) {u_t} = {u_{xx}} + \nabla F(u) .
David Terman
openalex +3 more sources