Results 101 to 110 of about 304 (131)

Singular subelliptic equations and Sobolev inequalities on Carnot groups

Analysis and Mathematical Physics, 2022
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Prashanta Garain, Alexander Ukhlov, Garain Prashanta   +2 more
exaly   +2 more sources

An embedding theorem and the harnack inequality for nonlinear subelliptic equations

Communications in Partial Differential Equations, 1993
(1993). An embedding theorem and the harnack inequality for nonlinear subelliptic equations. Communications in Partial Differential Equations: Vol. 18, No. 9-10, pp. 1765-1794.
Luca Capogna, Donatella Danielli, Nicola Garofalo   +2 more
exaly   +3 more sources

Solvability of the fourth order nonlinear subelliptic equations on the Heisenberg group

Applied Mathematics, 2003
The paper proposes some existence results (via variational approach) for fourth order semilinear subelliptic equations on the Heisenberg groups \[ \begin{cases} \Delta^2_Hu+c\Delta_Hu=f((z,t),u)\quad \text{ in}\;D,\\ u| _{\partial D}=\Delta_Hu| _{\partial D}=0 \end{cases} \] where \(D\) is a bounded open subset of the Heisenberg group \(H^n\) and ...
Zhang Jihui
exaly   +2 more sources

Hölder continuity for quasilinear subelliptic equations in Carnot Carathéodory spaces

Mathematische Nachrichten, 2004
AbstractIn this note we prove the Harnack inequality and the Hölder continuity for weak solutions of quasilinear subelliptic equation of the form where u belongs to Sobolev spaces with respect to a system of locally Lipschitz vector fields. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Giuseppe Di Fazio
exaly   +3 more sources

Subelliptic Hamilton-Jacobi equations: the coercive evolution case

Applicable Analysis, 2013
We prove the existence and uniqueness of a viscosity (Lipschitz) solution relative to bounded uniformly continuous (Lipschitz) initial data for a subelliptic evolution Hamilton–Jacobi equation with a coercive Hamiltonian. Moreover we also prove a comparison property for viscosity sub- and supersolutions.
Marco Biroli
exaly   +2 more sources

Schauder estimates for sub-elliptic equations

Journal of Evolution Equations, 2009
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C. E. Gutierrez, LANCONELLI, ERMANNO
openaire   +2 more sources

A note on a poincaré type inequality for solutions to subelliptic equations

Communications in Partial Differential Equations, 1996
We prove Poincare type inequalities for solutions to certain classes of quasilinear subelliptic equations, including the well-known p-Sublaplacian.
Lu Guozhen
exaly   +2 more sources

Capacitary estimates and the local behavior of solutions of nonlinear subelliptic equations

American Journal of Mathematics, 1996
We establish sharp capacitary estimates for Carnot-Carathéodory rings associated to a system of vector fields of Hörmander type. Such estimates are instrumental to the study of the local behavior of singular solutions of a wide class of nonlinear subelliptic equations.
Donatella Danielli, Luca Capogna, Nicola Garofalo   +2 more
exaly   +3 more sources

On estimates for the Besov norms of solutions to 3D subelliptic equations

Siberian Mathematical Journal, 2011
Schauder estimates play an important role in the theory of second order linear and quasilinear elliptic equations. For some geometric reasons, no direct analog of global Schauder estimates for the solutions to the subelliptic equations has been proved yet.
exaly   +2 more sources

9 Nonlinear maximally subelliptic equations

2023
exaly   +2 more sources