1. 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)

3. The Neumann problem for a class of generalized Kirchhoff-type potential systems
Nabil 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...

5. Existence and multiplicity of solutions for critical Kirchhoff-Choquard equations involving the fractional $p$-Laplacian on the Heisenberg group
Shujie Bai, Yueqiang Song, Dušan Repovš, 2024, original scientific article

Keywords: fractional concentration-compactness principle, Krasnoselskii genus, Kirchhoff-Choquard type equations, Heisenberg group
Full text (file, 277,68 KB) This document has more files! More...

7. Generalized noncooperative Schrödinger-Kirchhoff-type systems in ${\mathbb R}^N$
Nabil Chems Eddine, Dušan Repovš, 2024, original scientific article

Keywords: concentration–compactness principle, critical points theory, critical Sobolev exponents, generalized capillary operator, limit index theory, p-Laplacian, p(x)-Laplacian, Palais–Smale condition, Schrödinger-Kirchhoff-type problems, weighted exponent spaces
Full text (file, 631,53 KB) This document has more files! More...