Ends, tangles and critical vertex sets
Sign Up to like & getrecommendations! Published in 2019 at "Mathematische Nachrichten"
DOI: 10.1002/mana.201800174
Abstract: We show that an arbitrary infinite graph $G$ can be compactified by its ends plus its critical vertex sets, where a finite set $X$ of vertices of an infinite graph is critical if its deletion… read more here.
Keywords: vert; vert theta; vert vert; vertex sets ... See more keywords
The strongest Banach–Stone theorem for C0(K,ℓ22)$C_{0}(K, \ell _2^2)$ spaces
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DOI: 10.1002/mana.202300321
Abstract: As usual denote by ℓ22$\ell _2^2$ the real two‐dimensional Hilbert space. We prove that if K$K$ and S$S$ are locally compact Hausdorff spaces and T$T$ is a linear isomorphism from C0(K,ℓ22)$C_{0}(K,\ell _2^2)$ onto C0(S,ℓ22)$C_{0}(S,\ell _2^2)$… read more here.
Keywords: ell; vert vert; stone theorem; vert ... See more keywords
Are algebraic links in the Poincaré sphere determined by their Alexander polynomials?
Sign Up to like & getrecommendations! Published in 2019 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-019-02282-0
Abstract: The Alexander polynomial in several variables is defined for links in three-dimensional homology spheres, in particular, in the Poincaré sphere: the intersection of the surface $$S=\{(z_1,z_2,z_3)\in {\mathbb {C}}^3: z_1^5+z_2^3+z_3^2=0\}$$ S = { ( z 1… read more here.
Keywords: poincar sphere; vert vert; curve; alexander ... See more keywords
Rankin–Selberg L-functions and “beyond endoscopy”
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DOI: 10.1007/s00209-019-02431-5
Abstract: Let f and g be two holomorphic cuspidal Hecke eigenforms on the full modular group $$ \text {SL}_{2}({\mathbb {Z}}). $$ We show that the Rankin–Selberg L-function $$L(s, f \times g)$$ has no pole at $$s=1$$… read more here.
Keywords: functions beyond; beyond endoscopy; vert; selberg functions ... See more keywords
Study of the cosmic ray intensity in relation to geomagnetic storms and solar interplanetary parameters for solar cycles 21 and 23
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Astrophysics and Astronomy"
DOI: 10.1007/s12036-019-9593-2
Abstract: This paper comprises the comparative study of the behavior of CRI with geomagnetic storms, southward component of IMF, i.e. $${\vert }{} { Bz}{\vert }$$|Bz|, IMF B, solar wind speed (V) and $$V\cdot {\vert }{} {… read more here.
Keywords: cdot vert; vert; cri; geomagnetic storms ... See more keywords
Random Bernstein–Markov factors
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.12.061
Abstract: For a polynomial $P_n$ of degree $n$, Bernstein's inequality states that $\|P_n'\| \le n \|P_n\|$ for all $L^p$ norms on the unit circle, $0 read more here.
Keywords: vert; vert vert; value vert; unit circle ... See more keywords
GEOMETRIC AND FIXED POINT PROPERTIES IN PRODUCTS OF NORMED SPACES
Sign Up to like & getrecommendations! Published in 2019 at "Bulletin of the Australian Mathematical Society"
DOI: 10.1017/s0004972718001144
Abstract: Given two (real) normed (linear) spaces $X$ and $Y$ , let $X\otimes _{1}Y=(X\otimes Y,\Vert \cdot \Vert )$ , where $\Vert (x,y)\Vert =\Vert x\Vert +\Vert y\Vert$ . It is known that $X\otimes _{1}Y$ is $2$ -UR… read more here.
Keywords: fixed point; vert; vert vert; vert cdot ... See more keywords
Multiple positive solutions for a critical fractional p-Laplacian system with concave nonlinearities
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DOI: 10.1080/17476933.2024.2345674
Abstract: The aim of this paper is to study the following nonlinear fractional p-Laplacian system with critical exponents: \[ \begin{cases} (-\Delta)_p^{s} u+\vert u\vert ^{p-2} u=\lambda g(x)\vert u\vert ^{q-2} u+\frac{ \alpha}{\alpha+\beta}f(x)\vert u\vert ^{\alpha-2} u\vert v\vert ^{\beta} &… read more here.
Keywords: system; vert vert; vert; beta ... See more keywords
Existence and multiplicity of solutions for a supercritical elliptic problem in unbounded cylinders
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DOI: 10.1186/s13661-017-0783-z
Abstract: AbstractWe consider the following elliptic problem: {−div(|∇u|p−2∇u|y|ap)=|u|q−2u|y|bq+f(x)in Ω,u=0on ∂Ω,$$ \textstyle\begin{cases} -\operatorname{div} ( \frac{ \vert \nabla u \vert ^{p-2} \nabla u}{ \vert y \vert ^{ap}} ) = \frac { \vert u \vert ^{q-2} u}{ \vert y \vert ^{bq}}… read more here.
Keywords: multiplicity solutions; existence multiplicity; elliptic problem; vert ... See more keywords
Two positive solutions for quasilinear elliptic equations with singularity and critical exponents
Sign Up to like & getrecommendations! Published in 2018 at "Boundary Value Problems"
DOI: 10.1186/s13661-018-1018-7
Abstract: AbstractIn this paper, we consider the quasilinear elliptic equation with singularity and critical exponents {−Δpu−μ|u|p−2u|x|p=Q(x)|u|p∗(t)−2u|x|t+λu−s,in Ω,u>0,in Ω,u=0,on ∂Ω,$$ \textstyle\begin{cases} -\Delta_{p}u-\mu \frac{ \vert u \vert ^{p-2}u}{ \vert x \vert ^{p}}=Q(x) \frac{ \vert u \vert ^{p^{*}(t)-2}u}{ \vert x \vert ^{t}}+\lambda… read more here.
Keywords: singularity critical; vert; vert vert; critical exponents ... See more keywords
Existence of infinitely many solutions for a p-Kirchhoff problem in RN
Sign Up to like & getrecommendations! Published in 2020 at "Boundary Value Problems"
DOI: 10.1186/s13661-020-01403-7
Abstract: We consider the existence of multiple solutions of the following singular nonlocal elliptic problem: $$\begin{aligned} \textstyle\begin{cases} -M(\int _{\mathbb{R} ^{N}}{ \vert x \vert ^{-ap} \vert \nabla u \vert ^{p}})\operatorname{div}( \vert x \vert ^{-ap} \vert \nabla u… read more here.
Keywords: many solutions; infinitely many; vert; vert nabla ... See more keywords