Results 51 to 60 of about 1,452,798 (281)
Infinitely Many Solutions for Derrick’s Equation
Advanced Nonlinear Studies, 2002 Abstract In this paper we study a class of field equations, in several space dimensions, which admits solitary waves. The equation is a vector-valued version of a field equation proposed by Derrick in 1964 as model for elementary particles. We show the existence of infinitely many solutions with arbitrary topological charge.
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Infinitely many solutions for impulsive fractional boundary value problem with p-Laplacian
Boundary Value Problems, 2018 This paper deals with the existence of infinitely many solutions for a class of impulsive fractional boundary value problems with p-Laplacian. Based on a variant fountain theorem, the existence of infinitely many nontrivial high or small energy solutions
Yang Wang, Yansheng Liu, Yujun Cui
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Periodic segment implies infinitely many periodic solutions [PDF]
Proceedings of the American Mathematical Society, 2007 In this note we show that the existence of a periodic segment for a non-autonomous ODE with periodic coefficients implies the existence of infinitely many periodic solutions inside this segment provided that a sequence of Lefschetz numbers of iterations of an associated map is not constant.
Marzantowicz, Waclaw, Wójcik, Klaudiusz
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Infinitely many solutions to Kirchhoff double phase problems with variable exponents [PDF]
Applied Mathematics Letters, 2022 Ky Ho, Patrick Winkert
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Ground state solutions and infinitely many solutions for a nonlinear Choquard equation
Boundary Value Problems, 2021 In this paper we study the existence and multiplicity of solutions for the following nonlinear Choquard equation: − Δ u + V ( x ) u = [ | x | − μ ∗ | u | p ] | u | p − 2 u , x ∈ R N , $$\begin{aligned} -\Delta u+V(x)u=\bigl[ \vert x \vert ^{-\mu }\ast ...
Tianfang Wang, Wen Zhang
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INFINITELY MANY SOLUTIONS FOR A ZERO MASS SCHRÖDINGER-POISSON-SLATER PROBLEM WITH CRITICAL GROWTH
The Journal of Applied Analysis and Computation, 2019 In this paper, we are concerned with the following SchrödingerPoisson-Slater problem with critical growth: −∆u+ (u ? 1 |4πx| )u = μk(x)|u| u+ |u|u in R. We use a measure representation concentration-compactness principle of Lions to prove that the (PS)c ...
Liu Yang, Zhisu Liu
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Multiplicity of radial and nonradial solutions to equations with fractional operators [PDF]
Communications on Pure and Applied Analysis, 2020, 2019 In this paper, we study the existence of radial and nonradial solutions to the scalar field equations with fractional operators. For radial solutions, we prove the existence of infinitely many solutions under $N \geq 2$. We also show the existence of least energy solution (with the Pohozaev identity) and its mountain pass characterization.
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Infinitely many periodic solutions for a class of fractional Kirchhoff problems
, 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 ...
Ambrosio, Vincenzo
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Infinitely many nonradial singular solutions of $Δu+e^u=0$ in $\mathbb{R}^N\backslash\{0\}$, $4\le N\le 10$ [PDF]
Proceedings of the Royal Society of Edinburgh, Section: A
Mathematics, 148 (2018), 133--147, 2015 We construct countably infinitely many nonradial singular solutions of the problem \[ \Delta u+e^u=0\ \ \textrm{in}\ \ \mathbb{R}^N\backslash\{0\},\ \ 4\le N\le 10 \] of the form \[ u(r,\sigma)=-2\log r+\log 2(N-2)+v(\sigma), \] where $v(\sigma)$ depends only on $\sigma\in \mathbb{S}^{N-1}$.
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Boletim da Sociedade Paranaense de Matemática, 2019 In this article we will provide new multiplicity results of the solutions for nonlocal problems with variable exponent and nonhomogeneous Neumann conditions.
S. Heidarkhani, A. Araujo, Amjad Salari
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