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1. Combined effects for non-autonomous singular biharmonic problems
Vicenţiu Rǎdulescu, Dušan Repovš, 2020, original scientific article

Keywords: generalized p(x)-biharmonic equation, nonhomogeneous differential operator, variable exponent, singular nonlinearity
Full text (file, 328,40 KB)

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

Keywords: polynomial identities, exponential codimension growth, PI-exponent, unital algebra, numerical invariant
Full text (file, 574,88 KB)

3. Double phase transonic flow problems with variable growth: nonlinear patterns and stationary waves
Anouar Bahrouni, Vicenţiu Rǎdulescu, Dušan Repovš, 2019, original scientific article

Keywords: Baouendi-Grushin operator, Caffarelli-Kohn-Nirenberg inequality, transonic flow, nonlinear eigenvalue problem, variable exponent
Full text (file, 605,61 KB)

4. Infinitely many symmetric solutions for anisotropic problems driven by nonhomogeneous operators
Dušan Repovš, 2019, original scientific article

Keywords: anisotropic elliptic problem, nonhomogeneous differential operator, variable exponent, symmetric mountain pass theorem
Full text (file, 575,82 KB)

5. Existence and multiplicity results for a new p(x)-Kirchhoff problem
Mohamed Karim Hamdani, Abdellaziz Harrabi, Foued Mtiri, Dušan Repovš, 2020, original scientific article

Keywords: variable exponent, nonlocal Kirchhoff equation, p(x)-Laplacian operator, Palais-Smale condition, Mountain Pass theorem, Fountain theorem
Full text (file, 449,99 KB)

6. Nonhomogeneous Dirichlet problems without the Ambrosetti-Rabinowitz condition
Gang Li, Vicenţiu Rǎdulescu, Dušan Repovš, Qihu Zhang, 2018, original scientific article

Keywords: nonhomogeneous differential operator, Ambrosetti-Rabinowitz condition, Cerami compactness condition, Sobolev space with variable exponent
Full text (file, 660,08 KB)

7. On a p(.)-biharmonic problem with no-flux boundary condition
Maria-Magdalena Boureanu, Vicenţiu Rǎdulescu, Dušan Repovš, 2016, original scientific article

Keywords: variable exponent, new variable exponent subspace, ▫$p(\cdot)$▫-biharmonic operator, nonlinear elliptic problem, weak solutions, existence, multiplicity
Full text (file, 692,01 KB)

8. Existence and symmetry of solutions for critical fractional Schrödinger equations with bounded potentials
Xia Zhang, Binlin Zhang, Dušan Repovš, 2016, original scientific article

Keywords: fractional Schrödinger equations, critical Sobolev exponent, Ambrosetti-Rabinowitz condition, concentration compactness principle
Full text (file, 671,78 KB)

9. Stationary waves of Schrödinger-type equations with variable exponent
Dušan Repovš, 2015, original scientific article

Keywords: Lebesgue-Sobolev spaces with variable exponent, fountain theorem, mountain pass geometry, Leray-Lions operators, hemivariational inequality, resonance
Full text (file, 612,81 KB)

10. Multiple perturbations of a singular eigenvalue problem
Matija Cencelj, Dušan Repovš, Žiga Virk, 2015, original scientific article

Keywords: critical Sobolev exponent, indefinite singular potential, principal eigenvalue, concentration-compactness, singularity
Full text (file, 610,98 KB)

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