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, 2002
We 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.
openaire   +3 more sources

Ground state solution for a class of Schrödinger equations involving general critical growth term

, 2017
In 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
semanticscholar   +1 more source

The critical path to growth

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 ...
openaire   +2 more sources

Positive solutions of Kirchhoff type elliptic equations in R4 with critical growth

, 2017
In 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
semanticscholar   +1 more source

Avalanche growth and critical multiplication

Applied Scientific Research, Section B, 1964
Theoretical 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.
openaire   +2 more sources

Targeting for Growth: A Critical Examination

The International Journal of Entrepreneurship and Innovation, 2012
The 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
openaire   +2 more sources

Nonvariational problems with critical growth

Nonlinear Analysis: Theory, Methods & Applications, 2008
Abstract 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
openaire   +2 more sources

Low temperature critical growth of high quality nitrogen doped graphene on dielectrics by plasma-enhanced chemical vapor deposition.

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
semanticscholar   +1 more source

Criticism to “The Limits to Growth”

2011
Thomas 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,
openaire   +2 more sources

Infinitely many positive solutions for a nonlinear field equation with super‐critical growth

, 2016
We 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
semanticscholar   +1 more source

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