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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
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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 ...
Giuseppina D'Aguì +1 more
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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
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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
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Infinitely many positive solutions for a Schrödinger–Poisson system [PDF]
Applied Mathematics Letters, 2010 23 ...
Pietro d’Avenia +2 more
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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
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Infinitely many periodic solutions for second order Hamiltonian systems [PDF]
, 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 $|u|\to \infty$.Comment: to appear in ...
Liu, Chungen, Zhang, Qingye
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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.
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Infinitely Many Periodic Solutions for Variable Exponent Systems
Journal of Inequalities and Applications, 2009 We mainly consider the system in , in , where are periodic functions, and is called -Laplacian. We give the existence of infinitely many periodic solutions under some conditions.
Lu Mingxin, Guo Xiaoli, Zhang Qihu
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Infinitely many solutions at a resonance
Electronic Journal of Differential Equations, 2000 We use bifurcation theory to show the existence of infinitely many solutions at the first eigenvalue for a class of Dirichlet problems in one dimension.
Philip Korman, Yi Li
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