Results 101 to 110 of about 11,664 (312)
W^{2,p}-regularity for a class of elliptic second order equations with discontinuous coefficients
Le Matematiche, 1992 We prove a well-posedness result in the intersection class of W2,p with W01,p for the Dirichlet problem (*) below. We assume L to be an elliptic second order operator with discontinuous coefficients and lower order terms.
Carmela Vitanza
doaj
HeliyonThe equations describe the behavior of steady state flow in porous medium generally results in elliptic partial differential equations with coefficient represents the permeability of the medium.
Muhammad Arshad +5 more
doaj +1 more source
Advanced Materials Technologies, EarlyView.ABSTRACT Real‐time insight into local chemistry is critical for reliable part quality in additive manufacturing, especially laser powder bed fusion (PBF‑LB/M), where rapid thermal cycles and localized evaporation can undermine part performance. Optical emission spectroscopy (OES) offers non‑intrusive, in situ plume monitoring, but detection geometry ...
Philipp Gabriel +4 more
wiley +1 more source
The heteroclinic connection problem for general double-well potentials [PDF]
, 2014 By variational methods, we provide a simple proof of existence of a heteroclinic orbit to a second order Hamiltonian ODE that connects the two global minima of a double-well potential.
Sourdis, Christos
core
Bilinear recurrences and addition formulae for hyperelliptic sigma functions [PDF]
, 2005 The Somos 4 sequences are a family of sequences satisfying a fourth order bilinear recurrence relation. In recent work, one of us has proved that the general term in such sequences can be expressed in terms of the Weierstrass sigma function for an ...
Victor Z Enolskii +11 more
core +1 more source
Annulus oscillation criteria for second order nonlinear elliptic differential equations with damping
Electronic Journal of Differential Equations, 2009 We establish oscillation criteria for the second-order elliptic differential equation $$ ablacdot(A(x) abla y)+B^T(x) abla y+q(x)f(y)=e(x), quad xinOmega, $$ where $Omega $ is an exterior domain in $mathbb{R}^N$.
Rong-Kun Zhuang
doaj
Advanced Materials Technologies, EarlyView.ABSTRACT Molybdenum disulfide (MoS2) has attracted attention as a promising material due to the growing demand for environmentally friendly, cost‐effective, and efficient water treatment techniques. With its physicochemical characteristics, this stratified bidimensional material allows it to be highly effective in adsorption and catalytic performance ...
Pariksha Bishnoi +4 more
wiley +1 more source
Upper bound for the height of S-integral points on elliptic curves [PDF]
, 2013 We establish new upper bounds for the height of the S-integral points of an elliptic curve. This bound is explicitly given in terms of the set $S$ of places of the number field K involved,but also in terms of the degree of K, as well as the rank, the ...
Surroca, Andrea +3 more
core +1 more source
An Lp-Estimate for Weak Solutions of Elliptic Equations
Abstract and Applied Analysis, 2012 We prove an Lp-a priori bound, p>2, for solutions of second order linear elliptic partial differential equations in divergence form with discontinuous coefficients in unbounded domains.
Sara Monsurrò, Maria Transirico
doaj +1 more source
Full‐Stokes Polarimetry Metasurface‐Enabled Single‐Shot Measurement of the Spin Hall Effect of Light
Advanced Optical Materials, EarlyView.This study presents a metasurface‐enabled approach to measure the spin Hall effect of light in a single‐shot. The metasurface splits a reflected light into six polarization‐dependent focal spots, allowing all Stokes parameters to be obtained from single image.
Jeonghoon Choi +6 more
wiley +1 more source