Found 3,091 Documents (Results 1–100)
Intrinsic Taylor formula for non-homogeneous Kolmogorov-type Lie groups. (English) Zbl 07920790
Menozzi, Stéphane (ed.) et al., Kolmogorov operators and their applications. Singapore: Springer. Springer INdAM Ser. 56, 135-145 (2024).
Regularity of fractional heat semigroups associated with Schrödinger operators on Heisenberg groups. (English) Zbl 07920519
Existence of infinitely many solutions for critical sub-elliptic systems via genus theory. (English) Zbl 07919906
Lie symmetry analysis of the Charney-Hasegawa-Mima equation. (English) Zbl 07919725
Kielanowski, Piotr (ed.) et al., Geometric methods in physics XL, workshop, Białowieża, Poland, June 20–25, 2023. Cham: Birkhäuser. Trends Math., 427-435 (2024).
Recent existence results for some critical subelliptic problems. (English) Zbl 07919532
Chatzakou, Marianna (ed.) et al., Modern problems in PDEs and applications. Extended abstracts of the 2023 GAP Center summer school, Ghent, Belgium, August 23 – September 2, 2023. Cham: Birkhäuser. Trends Math., Res. Perspect. Ghent Anal. PDE Cent. 4, 95-103 (2024).
Some norm bounds for the spectral projections of the Heisenberg sublaplacian. (English) Zbl 07919527
Chatzakou, Marianna (ed.) et al., Modern problems in PDEs and applications. Extended abstracts of the 2023 GAP Center summer school, Ghent, Belgium, August 23 – September 2, 2023. Cham: Birkhäuser. Trends Math., Res. Perspect. Ghent Anal. PDE Cent. 4, 29-36 (2024).
A coercive estimate for the nonhomogeneous differential operator on the Heisenberg group. (English) Zbl 07918238
Dead ends and rationality of complete growth series. (English) Zbl 07916609
Reviewer: Andrea Caranti (Trento)
Regularity theory of quasilinear elliptic and parabolic equations in the Heisenberg group. (English) Zbl 07903077
Normalized solutions for critical Schrödinger-Poisson system involving the \(p\)-subLaplacian in the Heisenberg group. (English) Zbl 07901127
Overdetermined problems in groups of Heisenberg type: conjectures and partial results. (English) Zbl 07900786
A new matrix representation for the Heisenberg group. (English) Zbl 07900494
Reviewer: Nicolae Cotfas (Bucureşti)
Monge solutions for discontinuous Hamilton-Jacobi equations in Carnot groups. (English) Zbl 07897464
Some existence results of solutions for modified Schrödinger-Poisson system with \(p\)-Laplacian and critical nonlinearity in \(\mathbb{R}^3\). (English) Zbl 07893409
Generalized Hölder estimates via generalized Morrey norms for some ultraparabolic operators. (English) Zbl 07892771
Higher order Whitney extension and Lusin approximation for horizontal curves in the Heisenberg group. (English) Zbl 07882135
Reviewer: Nicolò De Ponti (Trieste)
Semilinear damped wave equations on the Heisenberg group with initial data from Sobolev spaces of negative order. (English) Zbl 07879418
A characterization of gauge balls in \(\mathbb{H}^n\) by horizontal curvature. (English) Zbl 07874990
Alt-Caffarelli-Friedman monotonicity formula and mean value properties in Carnot groups with applications. (English) Zbl 1542.35403
Well-posedness and dependence on the initial value of the time-fractional Navier-Stokes equations on the Heisenberg group. (English) Zbl 07864134
An \(L^p\)-spectral multiplier theorem with sharp \(p\)-specific regularity bound on Heisenberg type groups. (English) Zbl 07860409
Reviewer: Isolda E. Cardoso (Rosario)
Global compactness, subcritical approximation of the Sobolev quotient, and a related concentration result in the Heisenberg group. (English) Zbl 1541.35529
Cardona, Duván (ed.) et al., Extended abstracts 2021/2022. Methusalem lectures, Ghent, Belgium. Cham: Birkhäuser. Trends Math., Res. Perspect. Ghent Anal. PDE Cent. 3, 145-155 (2024).
Singular value decomposition for the X-ray transforms on the reduced Heisenberg group, and a two-radius theorem. (English) Zbl 07857646
Cardona, Duván (ed.) et al., Extended abstracts 2021/2022. Methusalem lectures, Ghent, Belgium. Cham: Birkhäuser. Trends Math., Res. Perspect. Ghent Anal. PDE Cent. 3, 15-26 (2024).
The tangential \(k\)-Cauchy-Fueter type operator and Penrose type integral formula on the generalized complex Heisenberg group. (English) Zbl 07852123
Estimates for the nonlinear viscoelastic damped wave equation on compact Lie groups. (English) Zbl 1540.35425
Qualitative uncertainty principle on certain Lie groups. (English) Zbl 07848223
Reviewer: Ashish Bansal (Delhi)
Liouville-type results for fully nonlinear subelliptic equations on the Heisenberg group. (English) Zbl 07846667
Reviewer: Marie-Françoise Bidaut-Véron (Tours)
Conformally invariant differential operators on Heisenberg groups and minimal representations. (Opérateurs différentiels conformément invariants pour des groupes d’Heisenberg et représentations minimales.) (English. French summary) Zbl 1542.22002
Mémoires de la Société Mathématique de France. Nouvelle Série 180. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-986-9). vi, 139 p. (2024).
Reviewer: Do Ngoc Diep (Hà Nội)
Multiple positive solutions for Schrödinger-Poisson system with singularity on the Heisenberg group. (English) Zbl 1537.35353
Sub-elliptic systems involving critical Hardy-Sobolev exponents and sign-changing weight functions on Carnot groups. (English) Zbl 1535.35041
Existence and multiplicity of solutions for critical Kirchhoff-Choquard equations involving the fractional \(p\)-Laplacian on the Heisenberg group. (English) Zbl 1535.35193
On anti-quasi-Sasakian manifolds of maximal rank. (English) Zbl 07839603
Reviewer: Neda Bokan (Beograd)
A Liouville theorem for superlinear parabolic equations on the Heisenberg group. (English) Zbl 1537.35116
Gradient estimates for fundamental solutions of a Schrödinger operator on stratified Lie groups. (English) Zbl 1541.35159
Weighted \(p(\cdot)\)-Poincaré and Sobolev inequalities for vector fields satisfying Hörmander’s condition and applications. (English) Zbl 1541.35266
Existence of a minimizer for the Bianchi-Egnell inequality on the Heisenberg group. (English) Zbl 07835131
Some analysis of two generalized Heisenberg groups. (English) Zbl 1540.22016
Reviewer: Jacques Faraut (Paris)
Heisenberg uncertainty principle for Gabor transform on compact extensions of \(\mathbb{R}^n\). (English) Zbl 07832004
Reviewer: Yunfeng Zhang (Beijing)
Heisenberg-modulation spaces at the crossroads of coorbit theory and decomposition space theory. (English) Zbl 07831254
Reviewer: Sergey S. Volosivets (Saratov)
Existence results for a class of critical fractional elliptic system on Heisenberg group. (English) Zbl 07830521
A new class of weights associated with Schrödinger operator on Heisenberg groups and applications. (English) Zbl 1542.35136
Partial regularity for a nonlinear discontinuous sub-elliptic system with drift on the Heisenberg group: the superquadratic case. (English) Zbl 1542.35192
On locally compact groups of small topological entropy. (English) Zbl 07829358
Reviewer: Salvador Hernández (Castellón)
Interior a priori estimates for supersolutions of fully nonlinear subelliptic equations under geometric conditions. (English) Zbl 1536.35109
Compact embeddings, eigenvalue problems, and subelliptic Brezis-Nirenberg equations involving singularity on stratified Lie groups. (English) Zbl 1540.35426
Reviewer: Vladimir Bobkov (Ufa)
Generalized Schrödinger operators on the Heisenberg group and Hardy spaces. (English) Zbl 1540.35135
Ternary \(Z_3\)-symmetric algebra and generalized quantum oscillators. (English. Russian original) Zbl 1533.81035
Theor. Math. Phys. 218, No. 1, 87-105 (2024); translation from Teor. Mat. Fiz. 218, No. 1, 102-123 (2024).
\(q\)-Poincaré inequalities on Carnot groups with filiform type Lie algebra. (English) Zbl 1534.35414
Nonlinear fractional equations in the Heisenberg group. (English) Zbl 1534.35079
“Bruno Pini” Mathematical Analysis Seminar 2023. Papers from the seminar, University of Bologna, Bologna, Italy, 2023. Bologna: Università di Bologna, Alma Mater Studiorum. 163-200 (2024).
Geodetically convex sets in the Heisenberg group \(\mathbb{H}^n, n \geq 1\). (English) Zbl 1542.53061
Reviewer: Mikhail Malakhal’tsev (Bogotá)
Fujita-type results for the degenerate parabolic equations on the Heisenberg groups. (English) Zbl 1533.35022
Heat- and wave-type equations with nonlocal operators. I: Compact Lie groups. (English) Zbl 1532.35468
The optimal constant in the \(L^2\) Folland-Stein inequality on the H-type group. (English) Zbl 07794585
Generalised Hardy type and Rellich type inequalities on the Heisenberg group. (English) Zbl 1540.26006
Reviewer: Chikh Bouzar (Oran)
High and low perturbations of the critical Choquard equation on the Heisenberg group. (English) Zbl 1532.35192
The Dirichlet condition for the conformable fractional sub-elliptic equation on the Heisenberg group. (English) Zbl 1532.35485
Interior pointwise gradient estimates for quasilinear elliptic equations in Heisenberg group. (English) Zbl 1532.35216
Globally well-posedness results of the fractional Navier-Stokes equations on the Heisenberg group. (English) Zbl 1528.35221
Rough fractional Hausdorff operators on Morrey-Herz spaces with variable exponents. (English) Zbl 07783598
Curvature estimates for minimal hypersurfaces in the Heisenberg group. arXiv:2409.20359
Preprint, arXiv:2409.20359 [math.DG] (2024).
Fujita type results for a parabolic inequality with a non-linear convolution term on the Heisenberg group. arXiv:2409.12508
Preprint, arXiv:2409.12508 [math.AP] (2024).
Uniform resolvent estimates, smoothing effects and spectral stability for the Heisenberg sublaplacian. arXiv:2409.11943
Preprint, arXiv:2409.11943 [math.AP] (2024).
Subelliptic Nonlocal Brezis-Nirenberg Problems on Stratified Lie Groups. arXiv:2409.03867
Preprint, arXiv:2409.03867 [math.AP] (2024).
Existence of solutions semilinear parabolic equations with singular initial data in the Heisenberg group. arXiv:2408.16985
Preprint, arXiv:2408.16985 [math.AP] (2024).
On the study of \((p, Q)\)-Laplace Choquard equations with critical Trudinger-Moser nonlinearity in \(\mathbb{H}^N\). arXiv:2407.16240
Preprint, arXiv:2407.16240 [math.AP] (2024).
Comparing three possible hypoelliptic Laplacians on the 5-dimensional Cartan group via div-curl type estimates. arXiv:2407.14316
Preprint, arXiv:2407.14316 [math.AP] (2024).
Lipschitz regularity for almost minimizers of a one-phase \(p\)-Bernoulli-type functional in Carnot Groups of step two. arXiv:2407.00084
Preprint, arXiv:2407.00084 [math.AP] (2024).
Global weak solutions for the inverse mean curvature flow in the Heisenberg group. arXiv:2406.15123
Preprint, arXiv:2406.15123 [math.AP] (2024).
Uncertainty principles for the imaginary Ornstein-Uhlenbeck operator. arXiv:2406.10766
Preprint, arXiv:2406.10766 [math.AP] (2024).
On the equivalence of derivatives for maps between Carnot groups. arXiv:2405.12138
Preprint, arXiv:2405.12138 [math.MG] (2024).
On gradient estimates of the heat semigroups on step-two Carnot groups. arXiv:2405.08605
Preprint, arXiv:2405.08605 [math.AP] (2024).
Local control on quaternionic Heisenberg group of dimension \(7\). arXiv:2404.08953
Preprint, arXiv:2404.08953 [math.DG] (2024).
Results of existence and uniqueness for the Cauchy problem of semilinear heat equations on stratified Lie groups. arXiv:2404.03128
Preprint, arXiv:2404.03128 [math.AP] (2024).
Sub-Riemannian optimal synthesis for Carnot groups with the structure of a path geometry. arXiv:2404.01831
Preprint, arXiv:2404.01831 [math.DG] (2024).
Horizontal semiconcavity for the square of Carnot-Carathéodory distance on step 2 Carnot groups and applications to Hamilton-Jacobi equations. arXiv:2402.19164
Preprint, arXiv:2402.19164 [math.AP] (2024).
On an evolution equation in sub-Finsler geometry. arXiv:2402.16745
Preprint, arXiv:2402.16745 [math.AP] (2024).
Positive solutions of a critical equation in sub-Finsler geometry. arXiv:2401.09319
Preprint, arXiv:2401.09319 [math.AP] (2024).
Some counterexamples to Alt-Caffarelli-Friedman monotonicity formulas in Carnot groups. arXiv:2401.07679
Preprint, arXiv:2401.07679 [math.AP] (2024).
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