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
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 $$V\cdot {\vert }{} {… read more here.
Keywords: cdot vert; vert; cri; geomagnetic storms ... See more keywords
Random Bernstein–Markov factors
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.12.061
Abstract: For a polynomial $P_n$ of degree $n$, Bernstein's inequality states that $\|P_n'\| \le n \|P_n\|$ for all $L^p$ norms on the unit circle, $0 read more here.
Keywords: vert; vert vert; value vert; unit circle ... See more keywords
GEOMETRIC AND FIXED POINT PROPERTIES IN PRODUCTS OF NORMED SPACES
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DOI: 10.1017/s0004972718001144
Abstract: Given two (real) normed (linear) spaces $X$ and $Y$ , let $X\otimes _{1}Y=(X\otimes Y,\Vert \cdot \Vert )$ , where $\Vert (x,y)\Vert =\Vert x\Vert +\Vert y\Vert$ . It is known that $X\otimes _{1}Y$ is $2$ -UR… read more here.
Keywords: fixed point; vert; vert vert; vert cdot ... See more keywords
Existence and multiplicity of solutions for a supercritical elliptic problem in unbounded cylinders
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DOI: 10.1186/s13661-017-0783-z
Abstract: AbstractWe consider the following elliptic problem: {−div(|∇u|p−2∇u|y|ap)=|u|q−2u|y|bq+f(x)in Ω,u=0on ∂Ω,$$ \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,$$ \textstyle\begin{cases} -\Delta_{p}u-\mu \frac{ \vert u \vert ^{p-2}u}{ \vert x \vert ^{p}}=Q(x) \frac{ \vert u \vert ^{p^{*}(t)-2}u}{ \vert x \vert ^{t}}+\lambda… read more here.
Keywords: singularity critical; vert; vert vert; critical exponents ... See more keywords
Existence of infinitely many solutions for a p-Kirchhoff problem in RN
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DOI: 10.1186/s13661-020-01403-7
Abstract: We consider the existence of multiple solutions of the following singular nonlocal elliptic problem: $$\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