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1
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On homological classification of pomonoids by regular weak injectivity properties of S-posets

100%
Zhang X., Laan V.
Open Mathematics
|
2007
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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.
2
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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
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Erratum to “On homological classification of pomonoids by regular weak injectivity properties of S-posets”

100%
Zhang X., Laan V.
Open Mathematics
|
2009
|
tom 7
|
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.
4
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Multiple solutions for a class of p(x)-Laplacian equations involving the critical exponent

81%
Zhang X., Zhang X., Fu Y.
Annales Polonici Mathematici
|
2010
|
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
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Regularity for minimizers of functionals with variable growth and discontinuous coefficients

81%
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.
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