Results 81 to 90 of about 2,479 (310)
Qualitative properties of solutions to elliptic singular problems
Journal of Inequalities and Applications, 1999 We investigate the singular boundary value problem in , on , where . For , we find the estimate where depends on only, denotes the distance from to and is suitable constant. For , we prove that the function is concave whenever is convex.
Gladiali F, Porru G, Berhanu S
doaj
Numerical conformal mapping onto a rectangle with applications to the solution of Laplacian problems [PDF]
, 1988 Let F be the function which maps conformally a simple-connected domain onto a rectangle R, so that four specified points on are mapped Ω∂respectively onto the four vertices of R. In this paper we consider the problem of approximating the conformal map F,
Papamichael, N. +2 more
core +1 more source
Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.Quantitative phase maps of single cells recorded in flow cytometry modality feed a hierarchical architecture of machine learning models for the label‐free identification of subtypes of ovarian cancer. The employment of a priori clinical information improves the classification performance, thus emulating the clinical application of liquid biopsy during ...
Daniele Pirone +11 more
wiley +1 more source
Electronic Journal of Qualitative Theory of Differential Equations, 2018 This paper serves as a corrigendum to the paper "Multiplicity of positive weak solutions to subcritical singular elliptic Dirichlet problems", published in Electron J. Qual. Theory Differ. Equ. 2017, No. 100, 1–30.
Tomas Godoy, Alfredo Guerin
doaj +1 more source
Clustered spots in the FitzHugh-Nagumo system [PDF]
, 2004 We construct {\bf clustered} spots for the following FitzHugh-Nagumo system: \[\left\{\begin{array}{l}\ep^2\Delta u +f(u)-\delta v =0\quad \mbox{in} \ \Om,\\[2mm]\Delta v+ u=0 \quad \mbox{in} \ \Om,\\[2mm] u= v =0 \quad\mbox{on} \ \partial \Om, \end{
Winter, M +5 more
core +1 more source
The Anatomical Record, EarlyView.Abstract The ray‐finned fishes include one out of every two species of living vertebrates on Earth and have an abundant fossil record stretching 380 million years into the past. The division of systematic knowledge of ray‐finned fishes between paleontologists working on extinct animals and neontologists studying extant species has obscured the ...
Jack Stack
wiley +1 more source
Existence of nonnegative solutions for singular elliptic problems
Electronic Journal of Differential Equations, 2016 We prove the existence of nonnegative nontrivial weak solutions to the problem $$\displaylines{ -\Delta u=au^{-\alpha}\chi_{\{ u>0\} }-bu^p\quad\text{in }\Omega, \cr u=0\quad\text{on }\partial\Omega, }$$ where $\Omega$ is a bounded domain in ...
Tomas Godoy, Alfredo J. Guerin
doaj
Multiplicity of positive weak solutions to subcritical singular elliptic Dirichlet problems
Electronic Journal of Qualitative Theory of Differential Equations, 2018 We study a superlinear subcritical problem at infinity of the form $-\Delta u=a(x) u^{-\alpha}+f(\lambda,x,u)$ in $\Omega$, $u=0$ on $\partial\Omega$, $u>0$ in $\Omega$, where $\Omega$ is a bounded domain in $\mathbb{R}^{n}$, $0\leq a\in L^{\infty ...
Tomas Godoy, Alfredo Guerin
doaj +1 more source
Dental crown morphological variation and heterodonty in carcharhiniform sharks
The Anatomical Record, EarlyView.Abstract Elasmobranch teeth are highly mineralized structures that constitute the majority of the fossil record for this group. Despite their taxonomic and evolutionary significance, detailed descriptions of dental morphology remain scarce. The order Carcharhiniformes, the most diverse among sharks, comprises 304 valid species that display remarkable ...
Flávia Zanini, Karla D. A. Soares
wiley +1 more source
Existence results for singular anisotropic elliptic boundary-value problems
Electronic Journal of Differential Equations, 2000 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