Results 61 to 70 of about 216,354 (284)
New homoclinic solutions for a class of second-order Hamiltonian systems with a mixed condition
Boundary Value Problems, 2018 In this paper, we introduce a new mixed condition to obtain a new compact embedding theorem. Under this theorem, we study the existence and multiplicity of nontrivial homoclinic solutions for a class of second-order Hamiltonian systems with variable ...
Xuefeng Li, Jin Jia
doaj +1 more source
, 2005 An improvement of the author's result, proved in 1961, concerning necessary and sufficient conditions for the compactness of embedding operators is given. A counterexample to a published statement concerning compactness of embedding operators is constructed.
openaire +2 more sources
Infinitely many solutions for semilinear nonlocal elliptic equations under noncompact settings [PDF]
, 2015 In this paper, we study a class of semilinear nonlocal elliptic equations posed on settings without compact Sobolev embedding. More precisely, we prove the existence of infinitely many solutions to the fractional Brezis-Nirenberg problems on bounded ...
Choi, Woocheol, Seok, Jinmyoung
core
Advanced Engineering Materials, EarlyView.Carbon‐free inert anodes are essential for decarbonizing aluminum electrolysis. This study investigates a recyclate‐based MgO‐316L steel composite anode tested under galvanostatic Hall–Héroult conditions in cryolite at 1000°C. Microstructural analysis reveals selective MgO fluorination, spinel and oxide layer formation, electrolyte infiltration, and ...
Serhii Yaroshevskyi +7 more
wiley +1 more source
, 2019 Assuming four strongly compact cardinals, it is consistent that all entries in Cicho\'n's diagram are pairwise different, more specifically that \[ \aleph_1 < \mathrm{add}(\mathrm{null}) < \mathrm{cov}(\mathrm{null}) < \mathfrak{b} < \mathrm{non}(\mathrm{
Goldstern, Martin +2 more
core +2 more sources
Advanced Engineering Materials, EarlyView.This study investigates laser‐based oxide removal of Cu inserts in oxygen‐free conditions and examines long‐term oxidation kinetics and surface chemistry under different atmospheres via X‐ray photoelectron spectroscopy. Al–Cu compound casting with differently oxidized surfaces is performed, and intermetallic phase formation, morphology, and thermal ...
Timon Steinhoff +9 more
wiley +1 more source
Locally Linear Discriminate Embedding for Face Recognition
Discrete Dynamics in Nature and Society, 2009 A novel method based on the local nonlinear mapping is presented in this research. The method is called Locally Linear Discriminate Embedding (LLDE).
Eimad E. Abusham, E. K. Wong
doaj +1 more source
Random selection of Borel sets
Applied General Topology, 2010 A theory of random Borel sets is presented, based on dyadic resolutions of compact metric spaces. The conditional expectation of the intersection of two independent random Borel sets is investigated.
Bernd Günther
doaj +1 more source
Advanced Engineering Materials, EarlyView.The wettability of aluminum droplets (Al) on different copper substrates (Cu), where liquid Al spreads on solid Cu surfaces to form a liquid–solid interface, is studied numerically and experimentally. The experimental and numerical results show good agreement in the fast‐spreading regime.
Shan Lyu +8 more
wiley +1 more source
On the Existence of Infinitely Many Solutions for Nonlocal Systems with Critical Exponents
Abstract and Applied Analysis, 2016 We study a class of semilinear nonlocal elliptic systems posed on settings without compact Sobolev embedding. By employing critical point theory and concentration estimates, we prove the existence of infinitely many solutions for values of the dimension ...
M. Khiddi, R. Echarghaoui
doaj +1 more source