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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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 for an elliptic problem involving critical nonlinearity
Acta Mathematica Scientia, 2010 We study the following elliptic problem ... Under certain assumptions on a and Q, we obtain existence of infinitely many solutions by variational ...
Yan Shusen +3 more
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Infinitely Many Quasi-Coincidence Point Solutions of Multivariate Polynomial Problems [PDF]
Abstract and Applied Analysis, 2013 Let F:ℝn×ℝ→ℝ be a real-valued polynomial function of the form F(x¯,y)=as(x¯)ys+as-1(x¯)ys-1+⋯+a0(x¯) where the degree s of y in F(x¯,y) is greater than 1. For arbitrary polynomial function f(x¯)∈ℝ[x¯], x¯∈ℝn, we will find a polynomial solution y(x¯)∈ℝ[x¯]
Yi-Chou Chen
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Existence of infinitely many solutions for a quasilinear elliptic equation
Applied Mathematics Letters, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xianhua Tang
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Infinitely many periodic solutions for a second-order nonautonomous system
Nonlinear Analysis: Theory, Methods & Applications, 2003 The existence of solutions \(u\in C^1([0,T],\mathbb{R}^k)\) to the system \[ \ddot u= A(t)u+ b(t)\nabla G(u)\quad\text{a.e. in }[0,T],\quad u(0)- u(T)= \dot u(0)-\dot u(T)= 0,\tag{1} \] is investigated. Roughly speaking, it is shown that if \(G\) has a suitable oscillation behavior at infinity (or at zero), then (1) has an unbounded sequence of ...
FARACI, FRANCESCA, LIVREA R.
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Infinitely Many Solutions for the Discrete Boundary Value Problems of the Kirchhoff Type
Symmetry, 2022 In this paper, we study the existence and multiplicity of solutions for the discrete Dirichlet boundary value problem of the Kirchhoff type, which has a symmetric structure.
Zhan Zhou
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Infinitely many solutions for fractional Kirchhoff–Sobolev–Hardy critical problems [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2019 We investigate a class of critical stationary Kirchhoff fractional $p$-Laplacian problems in presence of a Hardy potential. By using a suitable version of the symmetric mountain-pass lemma due to Kajikiya, we obtain the existence of a sequence of ...
Vincenzo Ambrosio +2 more
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Infinitely many positive solutions for fractional differential inclusions
Electronic Journal of Differential Equations, 2016 In this article, we study a class of fractional differential inclusions problem. By nonsmooth variational methods and the theory of the fractional derivative spaces, we establish the existence of infinitely many positive solutions of the problem under
Ge Bin, Ying-Xin Cui, Ji-Chun Zhang
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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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