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81.
John Erik Fornæ ss Nils Ø vrelid Sophia Vassiliadou 《Proceedings of the American Mathematical Society》2005,133(8):2377-2386
We obtain some -results for the operator on forms that vanish to high order on the singular set of a complex space.
82.
Sophia Th.?Kyritsi Nikolaos S.?PapageorgiouEmail author 《Annali di Matematica Pura ed Applicata》2005,184(4):449-472
In this paper we examine a nonlinear elliptic problem driven by the p-Laplacian differential operator and with a potential function which is only locally Lipschitz, not necessarily C1 (hemivariational inequality). Using the nonsmooth critical point theory of Chang, we obtain two strictly positive solutions.
One solution is obtained by minimization of a suitable modification of the energy functional. The second solution is obtained
by generalizing a result of Brezis-Nirenberg about the local C10-minimizers versus the local H10-minimizers of a C1-functional.
Mathematics Subject Classification (2000) 35J50, 35J85, 35R70 相似文献
83.
Sophia?Th?Kyritsi Nikolaos?S.?PapageorgiouEmail author 《Calculus of Variations and Partial Differential Equations》2004,20(1):1-24
In this paper we study a class of nonlinear elliptic eigenvalue problems driven by the p-Laplacian and having a nonsmooth locally Lipschitz potential. We show that as the parameter
approaches
(= the principal eigenvalue of
) from the right, the problem has three nontrivial solutions of constant sign. Our approach is variational based on the nonsmooth critical point theory for locally Lipschitz functions. In the process of the proof we also establish a generalization of a recent result of Brezis and Nirenberg for C01 versus W01,p minimizers of a locally Lipschitz functional. In addition we prove a result of independent interest on the existence of an additional critical point in the presence of a local minimizer of constant sign. Finally by restricting further the asymptotic behavior of the potential at infinity, we show that for all
the problem has two solutions one strictly positive and the other strictly negative.Received: 7 January 2003, Accepted: 12 May 2003, Published online: 4 September 2003Mathematics Subject Classification (2000):
35J20, 35J85, 35R70 相似文献
84.
Time periodic solutions for the hyperbolic gauged Ginzburg–Landau system, with spatial domain the unit disc, are shown to exist. Time periodic solutions representing bound states of vortices rotating about one another have been previously obtained in the near self-dual limit, using perturbative techniques. In contrast, we here take a variational approach, the solutions being obtained as critical points of an indefinite functional. We consider a special class of solutions which map out, uniformly in time, an orbit of the rotation group SO(2). It is shown that in the limit of large coupling constant the solutions have nontrivial time dependence or, as is shown to be equivalent, are not radially symmetric in any gauge. 相似文献
85.
Sophia Demoulini David M. A. Stuart Athanasios E. Tzavaras 《Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire》2000,17(6):711
It is shown that the variational approximation scheme for one-dimensional elastodynamics given by time discretisation converges, subsequentially, weakly and a.e. to a weak solution which satisfies the entropy inequalities. We also prove convergence under the restriction of positive spatial derivative (for longitudinal motions). 相似文献
86.
87.
Chengxiang Xiang Adam Z. Weber Shane Ardo Alan Berger YiKai Chen Robert Coridan Katherine T. Fountaine Sophia Haussener Shu Hu Rui Liu Nathan S. Lewis Miguel A. Modestino Matthew M. Shaner Meenesh R. Singh John C. Stevens Ke Sun Karl Walczak 《Angewandte Chemie (Weinheim an der Bergstrasse, Germany)》2016,128(42):13168-13183
88.
89.
Synthesis of Complex Druglike Molecules by the Use of Highly Functionalized Bench‐Stable Organozinc Reagents
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Thomas J. Greshock Keith P. Moore Ray T. McClain Ana Bellomo Cheol K. Chung Spencer D. Dreher Peter S. Kutchukian Zhengwei Peng Ian W. Davies Petr Vachal Mario Ellwart Sophia M. Manolikakes Prof. Dr. Paul Knochel Philippe G. Nantermet 《Angewandte Chemie (International ed. in English)》2016,55(44):13714-13718
The reactivity of a representative set of 17 organozinc pivalates with 18 polyfunctional druglike electrophiles (informers) in Negishi cross‐coupling reactions was evaluated by high‐throughput experimentation protocols. The high‐fidelity scaleup of successful reactions in parallel enabled the isolation of sufficient material for biological testing, thus demonstrating the high value of these new solid zinc reagents in a drug‐discovery setting and potentially for many other applications in chemistry. Principal component analysis (PCA) clearly defined the independent roles of the zincates and the informers toward druggable‐space coverage. 相似文献
90.
Zoi Eirini Papliaka Lisa Vaccari Franco Zanini Sophia Sotiropoulou 《Analytical and bioanalytical chemistry》2015,407(18):5393-5403