Results 41 to 50 of about 3,501,569 (379)
On singular elliptic equations with measure sources [PDF]
, 2015 We prove existence of solutions for a class of singular elliptic problems with a general measure as source term whose model is \begin{eqnarray} \begin{cases} \dys -\Delta u = \frac{f(x)}{u^{\gamma}} +\mu & \text{in}\ \Omega,\\[2mm] u=0 &\text{on ...
Francescantonio Oliva, Francesco Petitta
semanticscholar +1 more source
Hölder Regularity of Solutions to Second-Order Elliptic Equations in Nonsmooth Domains
Boundary Value Problems, 2006 We establish the global Hölder estimates for solutions to second-order elliptic equations, which vanish on the boundary, while the right-hand side is allowed to be unbounded.
Sungwon Cho, Mikhail Safonov
doaj +1 more source
Fractional elliptic equations with critical exponential nonlinearity
, 2016 We study the existence of positive solutions for fractional elliptic equations of the type (-Δ)1/2u = h(u), u > 0 in (-1,1), u = 0 in ℝ∖(-1,1) where h is a real valued function that behaves like eu2 as u → ∞ .
J. Giacomoni +2 more
semanticscholar +1 more source
Sturm comparison theorems for some elliptic type equations via Picone-tpye inequalities
Electronic Journal of Qualitative Theory of Differential Equations, 2016 Sturm theorems have appeared as one of the fundamental subjects in qualitative theory to determine properties of the solutions of differential equations. Motivated by some recent developments for half-linear type elliptic equations, we obtain Picone-type
Aydin Tiryaki +2 more
doaj +1 more source
${W}^{2,p}$ Estimates for Elliptic Equations on $C^{1,α}$ Domains [PDF]
arXiv, 2022 In this paper, a new method is represented to investigate boundary $W^{2,p}$ estimates for elliptic equations, which is, roughly speaking, to derive boundary $W^{2,p}$ estimates from interior $W^{2,p}$ estimates by Whitney decomposition. Using it, $W^{2,p}$ estimates on $C^{1,\alpha}$ domains are obtained for nondivergence form linear elliptic ...
arxiv
Exact solutions by integrals of the non-stationary elliptic Calogero-Sutherland equation [PDF]
Journal of Integrable Systems (2020) 4, 1-26, 2019 We use generalized kernel functions to construct explicit solutions by integrals of the non-stationary Schr\"odinger equation for the Hamiltonian of the elliptic Calogero-Sutherland model (also known as elliptic Knizhnik-Zamolodchikov-Bernard equation). Our solutions provide integral represenations of elliptic generalizations of the Jack polyomials.
arxiv +1 more source
Establishment and biological characterization of radioresistant colorectal cancer cell lines
FEBS Open Bio, EarlyView.Under ionizing radiation exposure, radiation‐sensitive cancer cells exhibit oxidative stress and DNA damage, while radiation‐resistant cancer cells exhibit strong antioxidant properties and DNA damage repair. Radiotherapy resistance is a major cause of recurrence and metastasis in colorectal cancer (CRC).
Tian‐Yin Qu +10 more
wiley +1 more source
$C^{1,\alpha}$ regularity for elliptic equations with the general nonstandard growth conditions [PDF]
Mathematica BohemicaWe study elliptic equations with the general nonstandard growth conditions involving Lebesgue measurable functions on $\Omega$. We prove the global $C^{1, \alpha}$ regularity of bounded weak solutions of these equations with the Dirichlet boundary ...
Sungchol Kim, Dukman Ri
doaj +1 more source
Elliptic equations and decomposition
Computers & Mathematics with Applications, 1988 AbstractThe decomposition method is applied to solve elliptic equations in several dimensions.
openaire +2 more sources
Multi‐institutional study on image quality for a novel CBCT solution on O‐ring linac
Journal of Applied Clinical Medical Physics, EarlyView.Abstract Introduction This work presents a multi‐institutional study on image quality provided by a novel cone beam computed tomography (CBCT). The main goal is to investigate the consistency of imaging performance across multiple institutions.
Luis Agulles‐Pedrós +11 more
wiley +1 more source