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1. On a new fractional Sobolev space with variable exponent on complete manifolds
Ahmed Aberqi, Omar Benslimane, Abdesslam Ouaziz, Dušan Repovš, 2022, original scientific article

Keywords: fractional ▫$p(z, \cdot)$▫-Laplacian, existence of solutions, fractional Sobolev space with variable exponent on complete manifolds, variational method
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2. Nonlinear singular problems with indefinite potential term
Nikolaos Papageorgiou, Vicenţiu Rǎdulescu, Dušan Repovš, 2019, original scientific article

Keywords: nonhomogeneous differential operator, indefinite potential, singular term, concave and convex nonlinearities, truncation, comparison principles, nonlinear regularity, nonlinear maximum principle
Full text (file, 366,33 KB)

3. Nonlinear, nonhomogeneous Robin problems with indefinite potential and general reaction
Nikolaos Papageorgiou, Vicenţiu Rǎdulescu, Dušan Repovš, 2020, original scientific article

Keywords: nonhomogeneous differential operator, nonlinear regularity theory, constant sign and nodal solutions, infinitely many nodal solutions, critical groups
Full text (file, 397,82 KB)

4. Toždestva v algebrah i kombinatornye svojstva dvoičnyh slov
Mikhail V. Zaicev, Dušan Repovš, 2019, short scientific article

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5. Existence and multiplicity of solutions for double-phase Robin problems
Nikolaos Papageorgiou, Vicenţiu Rǎdulescu, Dušan Repovš, 2020, original scientific article

Keywords: double phase Robin problem, Carathéodory nonlinearity, existence theorem, superlinear case, positive solutions, resonant case
Full text (file, 327,04 KB)

6. On existence of PI-exponents of unital algebras
Dušan Repovš, Mikhail V. Zaicev, 2020, original scientific article

Keywords: polynomial identities, exponential codimension growth, PI-exponent, unital algebra, numerical invariant
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7. Teorija formalʹnyh jazykov i toždestva neassociativnyh algebr
Mikhail V. Zaicev, Dušan Repovš, 2020, original scientific article

Full text (file, 553,97 KB)

8. On critical variable-order Kirchhoff type problems with variable singular exponent
Jiabin Zuo, Debajyoti Choudhuri, Dušan Repovš, 2022, original scientific article

Keywords: fractional Laplacian of variable-order, continuous embedding, genus, symmetric mountain pass theorem, variable singular exponent
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9. The Arf-Kervaire invariant of framed manifolds as an obstruction to embeddability
Petr Mihajlovič Ahmetʹev, Matija Cencelj, Dušan Repovš, 2022, original scientific article

Keywords: Arf-Kervaire invariant, manifold, embeddability
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10. Nonlocal ▫$p$▫-Kirchhoff equations with singular and critical nonlinearity terms
Abdeljabbar Ghanmi, Mouna Kratou, Kamel Saoudi, Dušan Repovš, 2023, original scientific article

Keywords: Kirchhoff problem, nonlocal operator, variational methods, singular nonlinearity, multiplicity results
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