Results 71 to 80 of about 9,940 (191)
Path Degeneracy and Applications
ABSTRACT In this work, we relate girth and path‐degeneracy in classes with sub‐exponential expansion, with explicit bounds for classes with polynomial expansion and proper minor‐closed classes that are tight up to a constant factor (and tight up to second order terms if a classical conjecture on existence of g $g$‐cages is verified). As an application,
Yuquan Lin, Patrice Ossona de Mendez
wiley +1 more source
Construction of polar codes with sublinear complexity [PDF]
9 pages, 3 figures, presented at ISIT'17 and submitted to IEEE Trans.
Marco Mondelli +2 more
openaire +6 more sources
Multiple solutions to a boundary value problem for an n-th order nonlinear difference equation
We seek multiple solutions to the n-th order nonlinear difference equation $$Delta^n x(t)= (-1)^{n-k} f(t,x(t)),quad t in [0,T]$$ satisfying the boundary conditions $$x(0) = x(1) = cdots = x(k - 1) = x(T + k + 1) = cdots = x(T+ n) = 0,.$$ Guo's fixed ...
Susan D. Lauer
doaj
Regularity Estimates for Fully Nonlinear Dead‐Core Problems With a Hamiltonian Term
ABSTRACT In this paper, we present a problem involving fully nonlinear elliptic operators with Hamiltonian, which can present a singularity or degenerate as the gradient approaches the origin. The model studied here, allows the appearance of plateau zones, i.e., unknown regions of the domain in which the non‐negative solutions vanishes.
Rafael R. Costa, Ginaldo S. Sá
wiley +1 more source
Existence and nonexistence of solutions for sublinear equations on exterior domains
In this article we study radial solutions of $\Delta u + K(r)f(u)= 0$ on the exterior of the ball of radius R>0, $B_{R}$, centered at the origin in ${\mathbb R}^{N}$ with u=0 on $\partial B_{R}$ where f is odd with f0 on $(\beta, \infty)$, $f(u)\sim u^
Joseph A. Iaia
doaj
ABSTRACT The EAC‐1A lunar mare simulant, a silty sand, was selected by the European Astronaut Center (EAC) for use in the LUNA analogue facility's lunar simulation testbed. Its stress‐ and strain‐dependent shear modulus and damping ratio were determined via resonant column testing on specimens prepared either from ambient moisture material or oven ...
Christos Vrettos
wiley +1 more source
Sublinear Algorithms for $(1.5+\epsilon)$-Approximate Matching [PDF]
We study sublinear time algorithms for estimating the size of maximum matching. After a long line of research, the problem was finally settled by Behnezhad [FOCS'22], in the regime where one is willing to pay an approximation factor of $2$. Very recently,
Kiss, Peter +2 more
core +1 more source
Existence results for singular anisotropic elliptic boundary-value problems
We establish the existence of a positive solution for anisotropic singular quasilinear elliptic boundary-value problems. As an example of the problems studied we have $$ u^au_{xx}+u^bu_{yy}+lambda(u+1)^{a+r}=0 $$ with zero Dirichlet boundary condition ...
Eun Heui Kim
doaj
Metabolism is density‐dependent from unicellular to multicellular organisms. Understanding what drives metabolic suppression is important to explain population growth given the link between metabolism and biomass production. In the simplest scenario, metabolic suppression is caused by a reduction in resource availability with increasing population ...
Ricardo Estevens +2 more
wiley +1 more source
Infinitely many solutions for elliptic boundary value problems with sign-changing potential
In this article, we study the elliptic boundary value problem $$\displaylines{ -\Delta u+a(x)u=g(x, u) \quad \text{in } \Omega,\cr u = 0\quad \text{on } \partial \Omega, }$$ where $ \Omega\subset \mathbb{R}^N$ $(N\geq3)$ is a bounded domain with
Wen Zhang, Xianhua Tang, Jian Zhang
doaj

