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1. Global Gaussian Estimates for the Heat Kernel of Homogeneous Sums of Squares

   Stefano Biagi, Marco Bramanti in Potential Analysis

   Article 08 November 2021

2. Intrinsic Differentiability and Intrinsic Regular Surfaces in Carnot Groups

   Daniela Di Donato in Potential Analysis

   Article 08 February 2020

3. Singular Adams inequality for biharmonic operator on Heisenberg Group and its applications

   The goal of this paper is to establish singular Adams type inequality for biharmonic operator on Heisenberg group. As an application, we establish...

   G. Dwivedi, J. Tyagi in Nonlinear Differential Equations and Applications NoDEA

   Article 20 October 2016

4. Nonexistence results for a class of evolution equations in the Heisenberg group

   We establish a nonexistence result of global solutions to the nonlinear evolution equation (uβ)tt − ϑαHΔH(uβ) + h(ϑ)(uq)t = f(t, ϑ)up + w(t, ϑ), ϑ ∈...

   Mohamed Jleli, Mokhtar Kirane, Bessem Samet in Fractional Calculus and Applied Analysis

   Article 23 May 2015

5. Higher-Order Multilinear Poincaré and Sobolev Inequalities in Carnot Groups

   The notions of higher-order weighted multilinear Poincaré and Sobolev inequalities in Carnot groups are introduced. As an application, weighted...

   Kabe Moen, Virginia Naibo in Potential Analysis

   Article 26 May 2013

6. Large time behavior for the heat equation on Carnot groups

   We first generalize a decomposition of functions on Carnot groups as linear combinations of the Dirac delta and some of its derivatives, where the...

   Francesco Rossi in Nonlinear Differential Equations and Applications NoDEA

   Article 04 January 2013

7. Extension problem and fractional operators: semigroups and wave equations

   We extend results of Caffarelli–Silvestre and Stinga–Torrea regarding a characterization of fractional powers of differential operators via an...

   José E. Galé, Pedro J. Miana, Pablo Raúl Stinga in Journal of Evolution Equations

   Article 19 March 2013

8. Regularity lifting of weak solutions for nonlinear sub-Laplace equations on homogeneous groups

   Let G be a homogeneous group, and let X ₁ , X ₂ , … , X _m be left invariant real vector fields being homogeneous of degree one on G . We consider the...

   **ao**g Feng, Pengcheng Niu in Archiv der Mathematik

   Article 20 April 2012

9. Blaschke, Privaloff, Reade and Saks Theorems for Diffusion Equations on Lie Groups

   We prove some asymptotic characterizations for the subsolutions to a class of diffusion equations on homogeneous Lie groups. These results are the...

   Alessia E. Kogoj, Giulio Tralli in Potential Analysis

   Article 25 August 2012

10. A boundary estimate for non-negative solutions to Kolmogorov operators in non-divergence form

    Chiara Cinti, Kaj Nyström, Sergio Polidoro in Annali di Matematica Pura ed Applicata

    Article 31 October 2010