Ghent University Academic Bibliography

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Zero modes and Dirac-(logarithmic) Sobolev-type inequalities

Marianna Chatzakou (UGent) , Uwe Kähler and Michael Ruzhansky (UGent)

(2026) LETTERS IN MATHEMATICAL PHYSICS. 116(3).
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Best constants in subelliptic fractional Sobolev and Gagliardo-Nirenberg inequalities and ground states on stratified Lie groups

Sekhar Ghosh, Vishvesh Kumar (UGent) and Michael Ruzhansky (UGent)

(2026) CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. 65(1).
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Levin–Cochran–Lee inequalities and best constants on homogeneous groups

Michael Ruzhansky (UGent) and Markos Fisseha Yimer

(2025) AEQUATIONES MATHEMATICAE. 99(4). p.1603-1623
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On fractional inequalities on metric measure spaces with polar decomposition

Aidyn Kassymov (UGent) , Michael Ruzhansky (UGent) and Gulnur Zaur (UGent)

(2025) FORUM MATHEMATICUM. 37(4). p.1035-1048
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Anisotropic weighted Levin–Cochran–Lee type inequalities on homogeneous Lie groups

Michael Ruzhansky (UGent) , Anjali Shriwastawa and Bankteshwar Tiwari

(2025) ANNALES FENNICI MATHEMATICI. 50(2). p.685-701
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Anisotropic fractional Gagliardo-Nirenberg, weighted Caffarelli-Kohn-Nirenberg and Lyapunov-type inequalities, and applications to Riesz potentials and p-sub-Laplacian systems

Aidyn Kassymov (UGent) , Michael Ruzhansky (UGent) and Durvudkhan Suragan

(2022) POTENTIAL ANALYSIS. 59(4). p.1971-1994
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Generalised nonlinear Picone identities for p-sub-Laplacians and p-biharmonic operators and applications

Durvudkhan Suragan and Nurgissa Yessirkegenov (UGent)

(2021) ADVANCES IN OPERATOR THEORY. 6(3).
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Lyapunov-type inequalities for the fractional p-sub-Laplacian

Aidyn Kassymov (UGent) and Durvudkhan Suragan

(2020) ADVANCES IN OPERATOR THEORY. 5(2). p.435-452
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Rellich inequalities for sub-Laplacians with drift

Michael Ruzhansky (UGent) and Nurgissa Yessirkegenov (UGent)

(2019) PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. 147(3). p.1335-1349
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Sobolev type inequalities, Euler-Hilbert-Sobolev and Sobolev-Lorentz-Zygmund spaces on homogeneous groups

Michael Ruzhansky (UGent) , Durvudkhan Suragan and Nurgissa Yessirkegenov

(2018) INTEGRAL EQUATIONS AND OPERATOR THEORY. 90(1).

Academic Bibliography

Zero modes and Dirac-(logarithmic) Sobolev-type inequalities

Best constants in subelliptic fractional Sobolev and Gagliardo-Nirenberg inequalities and ground states on stratified Lie groups

Levin–Cochran–Lee inequalities and best constants on homogeneous groups

On fractional inequalities on metric measure spaces with polar decomposition

Anisotropic weighted Levin–Cochran–Lee type inequalities on homogeneous Lie groups

Anisotropic fractional Gagliardo-Nirenberg, weighted Caffarelli-Kohn-Nirenberg and Lyapunov-type inequalities, and applications to Riesz potentials and p-sub-Laplacian systems

Generalised nonlinear Picone identities for p-sub-Laplacians and p-biharmonic operators and applications

Lyapunov-type inequalities for the fractional p-sub-Laplacian

Rellich inequalities for sub-Laplacians with drift

Sobolev type inequalities, Euler-Hilbert-Sobolev and Sobolev-Lorentz-Zygmund spaces on homogeneous groups

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