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1
Content available remote Erratum to “On homological classification of pomonoids by regular weak injectivity properties of S-posets”
100%
Zhang X. , Laan V.
Open Mathematics
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2009
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tom 7
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nr 1
163-164
EN
The original version of the article was published in Central European Journal of Mathematics, 2007, 5(1), 181–200, DOI: 10.2478/s11533-006-0036-3. Unfortunately, the original version of this article contains a mistake: in Theorem 5.2 only conditions (i) and (ii) (and not (iii)) are equivalent. We correct the theorem and its proof.
2
Content available remote Solutions for a class of hemivariational inequalities with p(x)-Laplacian
100%
Zhang X. , Fu Y.
Annales Polonici Mathematici
|
2009
|
tom 95
|
nr 3
273-288
EN
We study a class of hemivariational inequalities with p(x)-Laplacian. Applying nonsmooth critical point theory for locally Lipschitz functions, we obtain the existence of solutions on interior and exterior domains.
3
Content available remote On homological classification of pomonoids by regular weak injectivity properties of S-posets
100%
Zhang X. , Laan V.
Open Mathematics
|
2007
|
tom 5
|
nr 1
181-200
EN
If S is a partially ordered monoid then a right S-poset is a poset A on which S acts from the right in such a way that the action is compatible both with the order of S and A. By regular weak injectivity properties we mean injectivity properties with respect to all regular monomorphisms (not all monomorphisms) from different types of right ideals of S to S. We give an alternative description of such properties which uses systems of equations. Using these properties we prove several so-called homological classification results which generalize the corresponding results for (unordered) acts over (unordered) monoids proved by Victoria Gould in the 1980’s.
4
Content available remote Multiple solutions for a class of p(x)-Laplacian equations involving the critical exponent
80%
Zhang X. , Zhang X. , Fu Y.
Annales Polonici Mathematici
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2010
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tom 98
|
nr 1
91-102
EN
We study the multiplicity of solutions for a class of p(x)-Laplacian equations involving the critical exponent. Under suitable assumptions, we obtain a sequence of radially symmetric solutions associated with a sequence of positive energies going toward infinity.
5
Content available remote Regularity for minimizers of functionals with variable growth and discontinuous coefficients
80%
Zhang X. , Huo Y. , Fu Y.
Annales Polonici Mathematici
|
2014
|
tom 110
|
nr 2
171-187
EN
Based on the theory of variable exponent spaces, we study the regularity of local minimizers for a class of functionals with variable growth and discontinuous coefficients. Under suitable assumptions, we obtain local Hölder continuity of minimizers.
6
Content available remote Influence of COPD Assessment Text (CAT) evaluation and rehabilitation education guidance on the respiratory and motor functions of COPD patients
61%
Liu J. , Meng G. , Ma Y. , Zhang X. , Chen D. , Chen M.
Open Medicine
|
2014
|
tom 10
|
nr 1
EN
The study aimed to evaluate the influence of the COPD Assessment Test (CAT) evaluation and rehabilitation education guidance on the respiratory and motor functions of patients with chronic obstructive pulmonary disease (COPD). Forty-five patients with COPD admitted from Nov. 2012 to Nov. 2013 were treated with combined bronchodilators and inhaled corticosteroids. Thirty-five patients admitted from Nov. 2012 to Nov. 2013 and classified as a study group received rehabilitation education guidance on the basis of the treatment of the control group to compare the quality-of-life-scale score, dyspnea index score, and motor function of the two groups of patients after 48 weeks of treatment. After treatment, the CAT score of both groups of patients was significantly lowered. After 48 weeks of treatment, the respiratory function of both groups was significantly improved, but the Medical Research Council (MRC) scale for the study group after treatment was significantly lower than that for the control group. After 48 weeks of rehabilitation exercises, the 6-minute walk test (6MWT) for patients with COPD was significantly prolonged, but the test results were significantly higher for the study group after treatment than for the control group. After receiving CAT rehabilitation education, COPD patients had significantly improved life quality and significantly enhanced exercise tolerance. The treatment mode may be gradually introduced in future clinic and nursing work.
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