Results 321 to 330 of about 11,751,266 (377)
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SINGULAR ELLIPTIC PROBLEMS WITH CRITICAL GROWTH
Communications in Partial Differential Equations, 2002We consider Dirichlet problems of the form in Ω, u = 0 on ∂Ω, where Ω is an arbitrary domain in , with N ≥ 3, α ∈ e(0,2), and p = 2(N−α)/(N−2) is the corresponding critical exponent.
CALDIROLI, Paolo, Malchiodi A.
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Ground state solution for a class of Schrödinger equations involving general critical growth term
, 2017In this paper, we study a class of Schrödinger equations −△u=k(u),x∈RN, where N⩾3 and k satisfies very general critical growth conditions. By using the Pohozaev constraint, we obtain a positive ground state solution which is radially symmetric.
Jiu Liu, Jia‐Feng Liao, Chunlei Tang
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Policy Sciences, 1974
Growth has for long been accepted as one of the major objectives of most people. Recently it has been challenged from a number of directions and the challengers have been counter-challenged. The inadequacy of scientific evidence lays the field open for much controversy, but the questions which have been brought into prominence are of great importance ...
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Growth has for long been accepted as one of the major objectives of most people. Recently it has been challenged from a number of directions and the challengers have been counter-challenged. The inadequacy of scientific evidence lays the field open for much controversy, but the questions which have been brought into prominence are of great importance ...
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Positive solutions of Kirchhoff type elliptic equations in R4 with critical growth
, 2017In this paper, we study the following Kirchhoff type elliptic problem with critical growth: −a+b∫R4|∇u|2dx▵u+u=f(u)+β|u|2uinR4,u∈H1(R4),u>0inR4,where a,β>0 , and b≥0 , and the nonlinear growth term |u|2u reaches the Sobolev critical exponent since 2∗=4 ...
Zhisu Liu, Shangjiang Guo, Yanqin Fang
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Avalanche growth and critical multiplication
Applied Scientific Research, Section B, 1964Theoretical considerations for a developing avalanche predict three distinct expanding modes each following the other in time succession. Experimental results tend to confirm the validity of the analysis and show that the last expanding mode constitutes critical multiplication.
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Targeting for Growth: A Critical Examination
The International Journal of Entrepreneurship and Innovation, 2012The targeting debate has been around for more than 20 years, and yet we are still discussing how best to identify high-growth SMEs. Following a discussion of targeting issues and a review of some of the key literature on SME growth, the paper focuses on an empirical analysis of the performance of a panel of SMEs in New Zealand over a three-year period.
David Smallbone, Claire Massey
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Nonvariational problems with critical growth
Nonlinear Analysis: Theory, Methods & Applications, 2008Abstract In this paper, we develop new topological methods for handling nonvariational elliptic problems of critical growth. Our primary goal is to demonstrate how concentration compactness can be applied to achieve topological existence theorems in the nonvariational setting.
Maya Chhetri+3 more
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ACS Nano, 2015
Nitrogen doping is one of the most promising routes to modulate the electronic characteristic of graphene. Plasma-enhanced chemical vapor deposition (PECVD) enables low-temperature graphene growth.
Dacheng Wei+7 more
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Nitrogen doping is one of the most promising routes to modulate the electronic characteristic of graphene. Plasma-enhanced chemical vapor deposition (PECVD) enables low-temperature graphene growth.
Dacheng Wei+7 more
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Criticism to “The Limits to Growth”
2011Thomas Huxley (who liked to be defined “Darwin’s bulldog”) said that “It is the customary fate of new truths to begin as heresies and to end as superstitions.” There are many cases in which excessive conservatism in science has prevented new ideas (“heresies”) from being adopted and has kept old ideas (“superstitions”) alive for too long. Conservatism,
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Infinitely many positive solutions for a nonlinear field equation with super‐critical growth
, 2016We consider the following nonlinear field equation with super‐critical growth: (*)−Δu+λu=Q(y)u(N+2)/(N−2),u>0inRN+m,u(y)→0as|y|→+∞, where m⩾1 , λ⩾0 and Q(y) is a bounded positive function.
M. Musso, Juncheng Wei, Shusen Yan
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