11. Multiple solutions of double phase variational problems with variable exponentXiayang Shi, Vicenţiu Rǎdulescu, Dušan Repovš, Qihu Zhang, 2020, original scientific article Keywords: variable exponent elliptic operator, integral functionals, variable exponent Orlicz-Sobolev spaces, critical point Full text (file, 679,49 KB) |
12. On weak solutions for fourth-order problems involving the Leray-Lions type operatorsKhaled Kefi, Dušan Repovš, Kamel Saoudi, 2021, original scientific article Keywords: fourth-order PDE, generalized Sobolev space, Leray-Lions type operator, variable exponent, weak solution, variational method Full text (file, 281,63 KB) This document has more files! More... |
13. On a new fractional Sobolev space with variable exponent on complete manifoldsAhmed 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 Full text (file, 1,68 MB) This document has more files! More... |
14. On critical variable-order Kirchhoff type problems with variable singular exponentJiabin 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 Full text (file, 461,50 KB) This document has more files! More... |
15. On the fourth-order Leray-Lions problem with indefinite weight and nonstandard growth conditionsKhaled Kefi, Nawal Irzi, Mohammed Mosa Al-Shomrani, Dušan Repovš, 2022, original scientific article Keywords: Leray-Lions type operator, critical theorem, generalized Sobolev space, variable exponent Full text (file, 238,58 KB) This document has more files! More... |
16. Mixed order elliptic problems driven by a singularity, a Choquard type term and a discontinuous power nonlinearity with critical variable exponentsJiabin Zuo, Debajyoti Choudhuri, Dušan Repovš, 2022, original scientific article Keywords: Choquard type, variable-order fractional operator, mixed operator, variable singular exponent, discontinuous power nonlinearity Full text (file, 390,17 KB) This document has more files! More... |
17. The Neumann problem for a class of generalized Kirchhoff-type potential systemsNabil Chems Eddine, Dušan Repovš, 2023, original scientific article Keywords: Kirchhoff-type problems, Neumann boundary conditions, p(x)-Laplacian operator, generalized capillary operator, Sobolev spaces with variable exponent, critical Sobolev exponents, concentration–compactness principle, critical point theory, truncation technique Full text (file, 1,81 MB) This document has more files! More... |
18. Constant sign and nodal solutions for parametric anisotropic $(p, 2)$-equationsNikolaos 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 Full text (file, 1,54 MB) This document has more files! More... |
19. A double phase problem with a nonlinear boundary conditionDebajyoti Choudhuri, Dušan Repovš, Kamel Saoudi, 2023, original scientific article Keywords: variable exponent Sobolev space, double phase operator, nonlinear boundary condition, Steklov eigenvalue problem, Robin eigenvalue problem, existence Full text (file, 308,20 KB) This document has more files! More... |
20. On the concentration-compactness principle for anisotropic variable exponent Sobolev spaces and its applicationsNabil Chems Eddine, Maria Alessandra Ragusa, Dušan Repovš, 2024, original scientific article Keywords: Sobolev embeddings, concentration-compactness principle, anisotropic variable exponent Sobolev spaces, p(x)-Laplacian, fractional Brezis-Nirenberg problem Full text (file, 541,20 KB) This document has more files! More... |