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Start Over Coverage 429-435

1. Generating singularities of solutions of quasilinear elliptic equations using Wolff’s potential

Creator:
Žubrinić, Darko
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
quasilinear elliptic, singularity, and Sobolev function
Language:
English
Description:
We consider a quasilinear elliptic problem whose left-hand side is a Leray-Lions operator of $p$-Laplacian type. If $p<\gamma <N$ and the right-hand side is a Radon measure with singularity of order $\gamma $ at $x_0\in \Omega $, then any supersolution in $W_{\mathrm loc}^{1,p}(\Omega )$ has singularity of order at least $\frac{(\gamma -p)}{(p-1)}$ at $x_0$. In the proof we exploit a pointwise estimate of $\mathcal A$-superharmonic solutions, due to Kilpeläinen and Malý, which involves Wolff’s potential of Radon’s measure.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

2. Optimization model of the Váh Cascade operation

Creator:
Šulek, Peter
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
electrical supply system, optimal operation, hydropower plant, optimization criterion, and optimal programming
Language:
English
Description:
The optimal operation of an electrical power supply subsystem results from respect for the effectiveness criterion for the control of an industrial enterprise. It is essential for the operation of the Váh Cascade hydro power plants - a significant Slovak hydro-energy system. The fundamental principle of this operation is the potential hydropower utilization of water courses in addition to planning the control of the whole electrical system. and Obsahuje seznam literatury
Rights:
http://creativecommons.org/licenses/by-nc-sa/4.0/ and policy:public