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A comparison principle for higher order nonlinear hypoelliptic heat operators on graded Lie groups
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Hardy, weighted Trudinger-Moser and Caffarelli-Kohn-Nirenberg type inequalities on Riemannian manifolds with negative curvature
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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
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Generalised nonlinear Picone identities for p-sub-Laplacians and p-biharmonic operators and applications
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Factorizations and Hardy-Rellich inequalities on stratified groups
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Best constants in Sobolev and Gagliardo-Nirenberg inequalities on graded groups and ground states for higher order nonlinear subelliptic equations
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Euler semigroup, Hardy-Sobolev and Gagliardo-Nirenberg type inequalities on homogeneous groups
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Function spaces on Lie groups and applications
(2020) -
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Very weak solutions to hypoelliptic wave equations
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Hardy inequalities for Landau Hamiltonian and for Baouendi-Grushin operator with Aharonov-Bohm type magnetic field, part I