Results 11 to 20 of about 223,135 (271)
Infinitely many solutions of degenerate quasilinear Schrödinger equation with general potentials
Boundary Value Problems, 2021 In this paper, we study the following quasilinear Schrödinger equation: − div ( a ( x , ∇ u ) ) + V ( x ) | x | − α p ∗ | u | p − 2 u = K ( x ) | x | − α p ∗ f ( x , u ) in R N , $$ -\operatorname{div}\bigl(a(x,\nabla u)\bigr)+V(x) \vert x \vert ...
Yan Meng, Xianjiu Huang, Jianhua Chen
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Periodic segment implies infinitely many periodic solutions [PDF]
Proceedings of the American Mathematical Society, 2007 The authors of this note show that given a periodic segment for a nonautonomous ODE with periodic coefficients (i.e. a local process) and given a sequence of associated Lefschetz numbers that is not constant, then there exist infinitely many periodic solutions in the segment. The proof is based on the Shub-Sullivan theorem, see \textit{M.
Marzantowicz, Waclaw, Wójcik, Klaudiusz
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Infinitely many positive solutions for a Schrödinger–Poisson system [PDF]
Applied Mathematics Letters, 2011 23 ...
D'AVENIA, Pietro +2 more
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Infinitely many solutions for a gauged nonlinear Schrödinger equation with a perturbation
Nonlinear Analysis, 2021 In this paper, we use the Fountain theorem under the Cerami condition to study the gauged nonlinear Schrödinger equation with a perturbation in R2. Under some appropriate conditions, we obtain the existence of infinitely many high energy solutions for ...
Jiafa Xu, Jie Liu, Donal O'Regan
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INFINITELY MANY SOLUTIONS FOR A NONLOCAL PROBLEM
Journal of Applied Analysis & Computation, 2020 Summary: Consider a class of nonlocal problems \[ \begin{cases} -(a-b\int_{\Omega}|\nabla u|^2dx)\Delta u= f(x,u),\quad &x \in\Omega, \\ u=0, & x \in\partial\Omega, \end{cases} \] where \(a>0\), \(b>0\), \(\Omega\subset \mathbb{R}^N\) is a bounded open domain, \(f:\overline{\Omega} \times \mathbb R \longrightarrow \mathbb R\) is a Carathéodory function.
Tang, Zhiyun, Ou, Zengqi
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Infinitely many non-radial solutions for a Choquard equation
Advances in Nonlinear Analysis, 2022 In this article, we consider the non-linear Choquard equation −Δu+V(∣x∣)u=∫R3∣u(y)∣2∣x−y∣dyuinR3,-\Delta u+V\left(| x| )u=\left(\mathop{\int }\limits_{{{\mathbb{R}}}^{3}}\frac{| u(y){| }^{2}}{| x-y| }{\rm{d}}y\right)u\hspace{1.0em}\hspace{0.1em}\text{in}\
Gao Fashun, Yang Minbo
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A sequence of positive solutions for sixth-order ordinary nonlinear differential problems
Electronic Journal of Qualitative Theory of Differential Equations, 2021 Infinitely many solutions for a nonlinear sixth-order differential equation are obtained. The variational methods are adopted and an oscillating behaviour on the nonlinear term is required, avoiding any symmetry assumption.
Gabriele Bonanno, Roberto Livrea
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On a fractional differential equation with infinitely many solutions [PDF]
, 2012 We present a set of restrictions on the fractional differential equation $x^{(\alpha)}(t)=g(x(t))$, $t\geq0$, where $\alpha\in(0,1)$ and $g(0)=0$, that leads to the existence of an infinity of solutions starting from $x(0)=0$. The operator $x^{(\alpha)}$
Băleanu, Dumitru +2 more
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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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Integrable subsystem of Yang--Mills dilaton theory [PDF]
, 2007 With the help of the Cho-Faddeev-Niemi-Shabanov decomposition of the SU(2) Yang-Mills field, we find an integrable subsystem of SU(2) Yang-Mills theory coupled to the dilaton.
A Wereszczyński +7 more
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