Results 11 to 20 of about 221,589 (315)
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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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 $x^{(\alpha)}$
Dumitru Băleanu +2 more
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A construction of infinitely many solutions to the Strominger system [PDF]
Journal of Differential Geometry, 2021 17 pages, comments welcome!
Fei, Teng +2 more
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Infinitely many periodic solutions for a class of fractional Kirchhoff problems [PDF]
, 2019 We prove the existence of infinitely many nontrivial weak periodic solutions for a class of fractional Kirchhoff problems driven by a relativistic Schr\"odinger operator with periodic boundary conditions and involving different types of ...
Vincenzo Ambrosio
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Infinitely many solutions for Schrödinger–Newton equations
Communications in Contemporary Mathematics, 2023 We prove the existence of infinitely many non-radial positive solutions for the Schrödinger–Newton system [Formula: see text] provided that [Formula: see text] has the following behavior at infinity: [Formula: see text] where [Formula: see text] and [Formula: see text] are some positive constants.
Hu Y., Jevnikar A., Xie W.
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A variational approach for mixed elliptic problems involving the p-Laplacian with two parameters
Boundary Value Problems, 2022 By exploiting an abstract critical-point result for differentiable and parametric functionals, we show the existence of infinitely many weak solutions for nonlinear elliptic equations with nonhomogeneous boundary conditions. More accurately, we determine
Armin Hadjian, Juan J. Nieto
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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 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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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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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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