Results 11 to 20 of about 933,214 (358)
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
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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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A construction of infinitely many solutions to the Strominger system [PDF]
Journal of Differential Geometry, 2017 In this paper we construct explicit smooth solutions to the Strominger system on generalized Calabi-Gray manifolds, which are compact non-Kahler Calabi-Yau 3-folds with infinitely many distinct topological types and sets of Hodge numbers.
Teng Fei, Zhijie Huang, Sebastien Picard
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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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Existence of infinitely many solutions for a nonlocal problem
AIMS Mathematics, 2020 In this paper, we deal with a class of fractional Hénon equation and by using the Lyapunov-Schmidt reduction method, under some suitable assumptions, we derive the existence of infinitely many solutions, whose energy can be made arbitrarily large ...
Jing Yang
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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 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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Analysis of an elliptic system with infinitely many solutions
Advances in Nonlinear Analysis, 2017 We consider the elliptic system Δu=upvq${\Delta u\hskip-0.284528pt=\hskip-0.284528ptu^{p}v^{q}}$, Δv=urvs${\Delta v\hskip-0.284528pt=\hskip-0.284528ptu^{r}v^{s}}$ in Ω with the boundary conditions ∂u/∂η=λu${{\partial u/\partial\eta}=\lambda u}$, ∂
Cortázar Carmen +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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