Elliptic equations with nearly critical growth
Journal of Differential Equations, 1987 > (N f 2)/(N - 2) it has no solution for any (star-shaped) domain [13]. Recently, considerable interest has grown around problems like (I) in which the right hand side up is replaced by a perturbation f(u) of the pure power, such as f(u) = Au” + up, where 1 E Iw and 0
F. V. Atkinson, Lambertus A. Peletier
openaire +2 more sources
Critical quasilinear Schrodinger equation with sign-changing potential
Electronic Journal of Differential Equations, 2016 We study the existence of nontrivial solutions for a class of quasilinear Schrodinger equations in R^N with critical nonlinearity, where the potential is allowed to change signs.
Li-Li Wang, Zhi-Qing Han
doaj
Critical percolation on any quasi-transitive graph of exponential growth has no infinite clusters [PDF]
arXiv, 2016 We prove that critical percolation on any quasi-transitive graph of exponential volume growth does not have a unique infinite cluster. This allows us to deduce from earlier results that critical percolation on any graph in this class does not have any infinite clusters. The result is new when the graph in question is either amenable or nonunimodular.
arxiv
A critical examination of methods of evaluating vitamin A by means of the growth of rats [PDF]
, 1928 Eleanor Margaret Hume +1 more
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A Critical Study of Some of the Growth-promoting and Growth-inhibiting Substances Present in Brilliant-green Bile Medium [PDF]
, 1936 C. N. Stark, Lester Curtis
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On Kirchhoff-Schrödinger-Poisson-type systems with singular and critical nonlinearity
Advances in Nonlinear AnalysisThis work focuses on the Kirchhoff-Schrödinger-Poisson-type system with singular term and critical Sobolev nonlinearity as follows: −a+b∫Ω∣∇u∣pdxΔpu+ϕ∣u∣q−2u=λu−γ+∣u∣p∗−2uinΩ,−Δϕ=∣u∣qinΩ,u=ϕ=0on∂Ω,\left\{\begin{array}{ll}-\left(a+b\mathop{\displaystyle ...
Yang Baoling, Zhang Deli, Liang Sihua
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Radioimmunoassay and Radioreceptor Assays for Prolactin and Growth Hormone: A Critical Appraisal [PDF]
, 1975 Charles S. Nicoll
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N-Laplacian equations in ℝN with critical growth
Abstract and Applied Analysis, 1997 We study the existence of nontrivial solutions to the following problem: {u∈W1,N(ℝN),u≥0 and−div(|∇u|N−2∇u)+a(x)|u|N−2u=f(x,u) in ℝN(N≥2), where a is a continuous function which is coercive, i.e., a(x)→∞ as |x|→∞ and the nonlinearity f behaves like ...
João Marcos B. do Ó
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Particle growth in turbulent flow under dynamically critical Stokes conditions [PDF]
arXiv, 2015 A simple theory, based on observations of snowflake distribution in a turbulent flow, is proposed to model the growth of inertial particles as a result of dynamic clustering at scales larger than the Kolmogorov length scale. Particles able to stick or coalesce are expected to grow in size in flow regions where preferential concentration is predicted by
arxiv
Expected number of critical points of random holomorphic sections over complex projective space [PDF]
arXiv, 2017 We study the high dimensional asymptotics of the expected number of critical points of a given Morse index of Gaussian random holomorphic sections over complex projective space. We explicitly compute the exponential growth rate of the expected number of critical points of the largest index and of diverging indices at various rates as well as the ...
arxiv