Critical exponents
Critical Exponents of Quark Matter
... I investigate the ferromagnetic phase transition inside strong quark matter (SQM) with one gluon exchange interaction between strong quarks. I use a variational method and the Landau-Fermi liquid theory and obtain the ...
5
Critical exponents, the spectrum of group extended transfer operators and Kazhdan distance
... Let X be a CAT(−1) space and let Γ 0 be a non-elementary cocompact group of isometries acting freely and properly discontinuously on X. That is, X is a (simply connected) complete geodesic metric space in which every ...
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Amenability, critical exponents of subgroups and growth of closed geodesics
... of critical exponents implies amenability directly by replacing Stadlbauer’s result with a recent result of Jaerisch [13], in which the Gureviˇc pressure is replaced by the logarithm of the spectral radius ...
20
Existence result for semilinear elliptic systems involving critical exponents
... In this paper we deal with the existence of a positive solution for a class of semilinear systems of multi-singular elliptic equations which involve Sobolev critical exponents. In fact, by the analytic ...
14
Two positive solutions for quasilinear elliptic equations with singularity and critical exponents
... In recent years, the elliptic boundary value problems with critical exponents and sin- gular potentials have been extensively studied [2, 6, 7, 10–23, 25, 26, 28, 30–34]. In [19], Han considered the ...
19
Absence of critical exponents in ferroelectrics : experiments of Hilczer and theory of Levanyuk and Sigov
... called critical phenomena (unusual exponents) in various thermodynamic properties near the Curie temperatures (specific heat, electric susceptibility, thermal expansion, ultrasonic attenuation) arise not ...
10
Quasilinear elliptic equations with Hardy terms and Hardy-Sobolev critical exponents: nontrivial solutions
... Note that the function f in [] has to be a homogeneous function, but in the present paper it is not the case. Besides, we also obtain multiple solutions of (.) (see our Theorem .). Remark . We prove Theorems . ...
11
Electrical studies of Barkhausen switching noise in ferroelectric PZT : critical exponents and temperature dependence
... characteristic exponents [6, 11–14]. Due to universality, these exponents allow avalanche systems to be compared with one another, leading to a lot of interesting physics being unveiled [6, 11, ...
13
Multiplicity results for biharmonic equations involving multiple Rellich-type potentials and critical exponents
... Hsu, T.S., Zhang, J.: Multiple nontrivial solutions for critical biharmonic problems involving Rellich-type potentials and concave-convex nonlinearities. Kang, D.: On the quasilinear ell[r] ...
19
Thermodynamic Fit Functions of the Two Phase Fluid and Critical Exponents
... To describe important thermodynamic properties of the saturated fluid, fit functions of quantities are set up. A fit function presents an appropriate power series expanded about the critical point and affords the ...
39
Existence of solutions for perturbed elliptic system with critical exponents
... Oh, YG: Existence of semiclassical bound states of nonlinear Schrödinger equations with potentials of the class (V) 2.. Commun.[r] ...
13
Multiple positive solutions for semilinear elliptic systems involving subcritical nonlinearities in RN
... or critical exponents, and they proved the existence of a least energy positive solution or the existence of at least two positive solutions for these ...
17
Nonlinear boundary value problems of a class of elliptic equations involving critical variable exponents
... the critical Sobolev exponents, but also the nonlinear boundary ...the critical exponents, the compactness of the embedding fails, so to recover the loss of the compactness, we use the ...
21
Hyperbolic dimension and Poincare critical exponent of rational maps
... By investigating the property of conical Julia set and dissipative measure, we prove that the Poincar´e critical exponents are equal to the hyperbolic dimensions for a large class of rat[r] ...
10
The thermal expansion coefficient of Nd-Fe-B and Sm-Co permanent magnets in the region of the Curie point
... the critical exponents at the Curie point are defined. All critical exponents are positive and substantially exceed the critical exponent ...the critical exponents of the ...
5
Multiple positive solutions for a class of quasi-linear elliptic equations involving concave-convex nonlinearities and Hardy terms
... Such kind of problem with critical exponents and nonnegative weight functions has been extensively studied by many authors. We refer, e.g., in bounded domains and for p = 2 to [4-6] and for p >1 to ...
15
On symmetric solutions of a critical semilinear elliptic system involving the Caffarelli Kohn Nirenberg inequality in \(\mathbb{R}^{N}\)
... The critical growth in elliptic problems has been extensively studied in the last decades, starting with the seminal paper ...and critical exponents, we would like to mention the works [–] and the ...
22
Quark mass anomalous dimension at O(1/Nf2) in QCD
... the critical exponent η one has to calculate the corresponding renormalized Green functions and then solve the self- consistency ...calculate critical exponents using (20) and (22) one only needs to ...
13
Reflection equations in exactly solvable models of statistical mechanics
... the critical phenomenon which identifies ...of critical phenomenon of models which exhibit phase transitions it is believed that the understanding of such phenomenon in nature and associated properties of ...
101
Pohozaev-type inequalities and their applications for elliptic equations
... Xuan, BJ, Wang, J: Existence of a nontrivial weak solution to quasilinear elliptic equations with singular weights and multiple critical exponents.[r] ...
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