Infinitely many solutions for Hamiltonian system with critical growth
Advances in Nonlinear AnalysisIn this article, we consider the following elliptic system of Hamiltonian-type on a bounded domain:−Δu=K1(∣y∣)∣v∣p−1v,inB1(0),−Δv=K2(∣y∣)∣u∣q−1u,inB1(0),u=v=0on∂B1(0),\left\{\begin{array}{ll}-\Delta u={K}_{1}\left(| y| ){| v| }^{p-1}v,\hspace{1.0em ...
Guo Yuxia, Hu Yichen
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An infinite collection of quartic polynomials whose products of consecutive values are not perfect squares [PDF]
INTEGERS 17 (2017), 2016 Using an elementary identity, we prove that for infinitely many polynomials $P(x)\in \mathbb{Z}[X]$ of fourth degree, the equation $\prod\limits_{k=1}^{n}P(k)=y^2$ has finitely many solutions in $\mathbb{Z}$. We also give an example of a quartic polynomial for which the product of it's first consecutive values is infinitely often a perfect square.
arxiv
Infinitely many radially symmetric solutions to a superlinear Dirichlet problem in a ball [PDF]
, 1987 Alfonso Castro, Alexandra Kurepa
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Infinitely many solutions for non-cooperative elliptic systems
Journal of Mathematical Analysis and Applications, 2005 AbstractIn this paper, we consider the existence of infinitely many solutions of noncooperative elliptic systems perturbed from odd cases.
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Infinitely many solutions for fractional Kirchhoff–Sobolev–Hardy critical problems
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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Biorthonormal Systems in Freud-type Weighted Spaces with Infinitely Many Zeros - An Interpolation Problem [PDF]
arXiv, 2008 In a Freud-type weighted ($w$) space, introducing another weight ($v$) with infinitely many roots, we give a complete and minimal system with respect to $vw$, by deleting infinitely many elements from the original orthonormal system with respect to $w$.
arxiv
On the existence of infinitely many periodic solutions for an equation of a rectangular thin plate [PDF]
, 1987 Eduard Feireisl
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Infinitely many solutions for a boundary Yamabe problem
We consider the classical geometric problem of prescribing the scalar and the boundary mean curvature in the unit ball endowed with the standard Euclidean metric. We will deal with the case of negative scalar curvature showing the existence of infinitely many non-radial positive solutions when the dimension is larger or equal to 5.
Battaglia, Luca +2 more
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On infinite versions of the prisoner problem [PDF]
arXivWe investigate some versions of the famous 100 prisoner problem for the infinite case, where there are infinitely many prisoners and infinitely many boxes with labels. In this case, many questions can be asked about the admissible steps of the prisoners, the constraints they have to follow and also about the releasing conditions.
arxiv
Infinitely many solutions for a class of perturbed elliptic equations with nonlocal operators
, 2017 In this paper, we consider the following perturbed nonlocal elliptic equation \begin{document} $\left\{ {\begin{array}{*{20}{l}}{ - {{\cal L}_K}u = \lambda u + f(x,u) + g(x,u),\;\;x \in \Omega ,}\\{u = 0,\;\;x \in \mathbb{R}{^N} \setminus \Omega ,}\end ...
Liangdi Zhang, Xianhua Tang, Yi Chen
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