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1
Content available On the Möbius invariant principal functions of Pincus
Ghosh Sagar, Misra Gadadhar
Opuscula Mathematica
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2024
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Vol. 44, no. 3
391--407
EN
In this semi-expository short note, we prove that the only homogeneous pure hyponormal operator T with rank (T∗T − TT∗) = 1, modulo unitary equivalence, is the unilateral shift.
2
Content available Solutions for a nonhomogeneous p&q-Laplacian problem via variational methods and sub-supersolution technique
Tavares Leandro S., Sousa J. Vanterler C.
Opuscula Mathematica
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2023
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Vol. 43, no. 4
603--613
EN
In this paper it is obtained, through variational methods and sub-supersolution arguments, existence and multiplicity of solutions for a nonhomogeneous problem which arise in several branches of science such as chemical reactions, biophysics and plasma physics. Under a general hypothesis it is proved an existence result and multiple solutions are obtained by considering an additional natural condition.
3
Content available Dynamical and technological consequences of multiple isolas of steady states in a catalytic fluidised-bed reactor
Bizon K.
Chemical and Process Engineering
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2017
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Vol. 38, nr 3
411--422
EN
Steady-state characteristics of a catalytic fluidised bed reactor and its dynamical consequences are analyzed. The occurrence of an untypical steady-state structure manifesting in a form of multiple isolas is described. A two-phase bubbling bed model is used for a quantitative description of the bed of catalyst. The influence of heat exchange intensity and a fluidisation ratio onto the generation of isolated solution branches is presented for two kinetic schemes. Dynamical consequences of the coexistence of such untypical branches of steady states are presented. The impact of linear growth of the fluidisation ratio and step change of the cooling medium temperature onto the desired product yield is analyzed. The results presented in this study confirm that the identification of a region of the occurrence of multiple isolas is important due to their strong impact both on the process start-up and its control.
4
Content available remote Multiplicity and Semicontinuity of the Łojasiewicz Exponent
Rodak T., Różycki A., Spodzieja S.
Bulletin of the Polish Academy of Sciences. Mathematics
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2016
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Vol. 64, no. 1
55--62
EN
We give an effective formula for the improper isolated multiplicity of a polynomial mapping. Using this formula we construct, for a given deformation of a holomorphic mapping with an isolated zero at zero, a stratification of the space of parameters such that the Łojasiewicz exponent is constant on each stratum.
5
Content available On a new critical point theorem and some applications to discrete equations
Galewski M., Galewska E.
Opuscula Mathematica
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2014
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Vol. 34, no. 4
725--732
EN
Using the Fenchel-Young duality we derive a new critical point theorem. We illustrate our results with solvability for certain discrete BVP. Multiple solutions are also considered.
6
Content available A survey of multiplicity fluctuations in PHENIX
Mitchell J.
Nukleonika
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2006
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Vol. 51,suppl.3
89-92
EN
The PHENIX Experiment at the Relativistic Heavy Ion Collider has made measurements of event-by-event fluctuations in the charged particle multiplicity as a function of collision energy, centrality, collision species, and transverse momentum in heavy-ion collisions. The results of these measurements will be reviewed and discussed.
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