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1. Constant sign and nodal solutions for parametric anisotropic $(p, 2)$-equations
Nikolaos S. Papageorgiou, Dušan Repovš, Calogero Vetro, 2023, original scientific article

Keywords: anisotropic operators, regularity theory, maximum principle, constant sign and nodal solutions, critical groups, variable exponent, electrorheological fluids
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2. 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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3. Nonlinear singular problems with indefinite potential term
Nikolaos S. 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
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4. Nonlinear, nonhomogeneous Robin problems with indefinite potential and general reaction
Nikolaos S. 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)

5. Toždestva v algebrah i kombinatornye svojstva dvoičnyh slov
Mikhail V. Zaicev, Dušan Repovš, 2019, other scientific articles

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

Keywords: double phase Robin problem, Carathéodory nonlinearity, existence theorem, superlinear case, positive solutions, resonant case
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7. 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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8. Teorija formalʹnyh jazykov i toždestva neassociativnyh algebr
Mikhail V. Zaicev, Dušan Repovš, 2020, original scientific article

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9. 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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10. 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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