CRITICAL EXPONENTS OF ERBIUM [PDF]
Le Journal de Physique Colloques, 1988 The exponent β that describes the sinusoidally modulate d ↔ paramagnetic phase transition crosses over from a value of 0.39 near TN to a mean field value away from TN. Electrical resistivity measurements near TN are given for the c axis and the critical behaviour is discussed.
P. de V. du Plessis +2 more
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Nondegeneracy of ground states for nonlinear scalar field equations involving the Sobolev-critical exponent at high frequencies in three and four dimensions [PDF]
, 2022 Takafumi Akahori, Miho Murata
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Existence of positive solutions for a singular elliptic problem with\n critical exponent and measure data [PDF]
, 2020 Akasmika Panda +2 more
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Concentration phenomena for fourth-order elliptic equations with critical exponent
Electronic Journal of Differential Equations, 2004 We consider the nonlinear equation $$ Delta ^2u= u^{frac{n+4}{n-4}}-varepsilon u $$ with $u$ greater than 0 in $Omega$ and $u=Delta u=0$ on $partialOmega$. Where $Omega$ is a smooth bounded domain in $mathbb{R}^n$, $ngeq 9$, and $varepsilon$ is a small
Mokhless Hammami
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Height representation, critical exponents, and ergodicity in the four-state triangular Potts antiferromagnet [PDF]
, 1999 Cristopher Moore, M. E. J. Newman
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A Brezis-Nirenberg problem on hyperbolic spaces
Electronic Journal of Differential Equations, 2019 We consider a Brezis-Nirenberg problem on the hyperbolic space $\mathbb{H}^n$. By using the stereographic projection, the problem becomes a singular problem on the boundary of the open ball $B_1(0)\subset \mathbb{R}^n$. Thanks to the Hardy inequality,
Paulo C. Carriao +3 more
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Critical exponents in U(1) lattice gauge theory with a monopole term [PDF]
, 1998 G Damm, W. Kerler
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Nondegeneracy of the solutions for elliptic problem with critical exponent
Boundary Value ProblemsThis paper deals with the following nonlinear elliptic equation: − Δ u = Q ( | y ′ | , y ″ ) u N + 2 N − 2 , u > 0 , in R N , u ∈ D 1 , 2 ( R N ) , $$ -\Delta u=Q(|y'|,y'')u^{\frac{N+2}{N-2}},\,\,u>0,\,\,\text{in}\,{ \mathbb{R}}^{N},\,\,u\in D^{1,2 ...
Qingfang Wang
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Momentum Distribution Critical Exponents for 1D Hubbard model in a Magnetic Field [PDF]
, 2015 Nelson Nenuwe, J. O. A. Idiodi
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On the Sobolev trace Theorem for variable exponent spaces in the critical range [PDF]
, 2013 Julián Fernández Bonder +2 more
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