Ghent University Academic Bibliography

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Existence and non-existence of global solutions for semilinear heat equations and inequalities on sub-Riemannian manifolds, and Fujita exponent on unimodular Lie groups

Michael Ruzhansky (UGent) and Nurgissa Yessirkegenov (UGent)

(2022) JOURNAL OF DIFFERENTIAL EQUATIONS. 308. p.455-473
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Hardy, weighted Trudinger-Moser and Caffarelli-Kohn-Nirenberg type inequalities on Riemannian manifolds with negative curvature

Michael Ruzhansky (UGent) and Nurgissa Yessirkegenov (UGent)

(2022) JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 507(2).
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A comparison principle for higher order nonlinear hypoelliptic heat operators on graded Lie groups

Michael Ruzhansky (UGent) and Nurgissa Yessirkegenov (UGent)

(2022) NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. 215.
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Critical Gagliardo–Nirenberg, Trudinger, Brezis–Gallouet–Wainger inequalities on graded groups and ground states

Michael Ruzhansky (UGent) and Nurgissa Yessirkegenov

(2022) COMMUNICATIONS IN CONTEMPORARY MATHEMATICS. 24(08).
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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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- PhD Thesis
Function spaces on Lie groups and applications

Nurgissa Yessirkegenov (UGent)

(2020)
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Factorizations and Hardy-Rellich inequalities on stratified groups

Michael Ruzhansky (UGent) and Nurgissa Yessirkegenov (UGent)

(2020) JOURNAL OF SPECTRAL THEORY. 10(4). p.1361-1411
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Very weak solutions to hypoelliptic wave equations

Michael Ruzhansky (UGent) and Nurgissa Yessirkegenov (UGent)

(2020) JOURNAL OF DIFFERENTIAL EQUATIONS. 268(5). p.2063-2088
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Euler semigroup, Hardy-Sobolev and Gagliardo-Nirenberg type inequalities on homogeneous groups

Michael Ruzhansky (UGent) , Durvudkhan Suragan and Nurgissa Yessirkegenov (UGent)

(2020) SEMIGROUP FORUM. 101(1). p.162-191
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Best constants in Sobolev and Gagliardo-Nirenberg inequalities on graded groups and ground states for higher order nonlinear subelliptic equations

Michael Ruzhansky (UGent) , Niyaz Tokmagambetov (UGent) and Nurgissa Yessirkegenov (UGent)

(2020) CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. 59(5).

Academic Bibliography

Existence and non-existence of global solutions for semilinear heat equations and inequalities on sub-Riemannian manifolds, and Fujita exponent on unimodular Lie groups

Hardy, weighted Trudinger-Moser and Caffarelli-Kohn-Nirenberg type inequalities on Riemannian manifolds with negative curvature

A comparison principle for higher order nonlinear hypoelliptic heat operators on graded Lie groups

Critical Gagliardo–Nirenberg, Trudinger, Brezis–Gallouet–Wainger inequalities on graded groups and ground states

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

Function spaces on Lie groups and applications

Factorizations and Hardy-Rellich inequalities on stratified groups

Very weak solutions to hypoelliptic wave equations

Euler semigroup, Hardy-Sobolev and Gagliardo-Nirenberg type inequalities on homogeneous groups

Best constants in Sobolev and Gagliardo-Nirenberg inequalities on graded groups and ground states for higher order nonlinear subelliptic equations

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