Results 61 to 70 of about 109 (95)

Best constants in subelliptic fractional Sobolev and Gagliardo-Nirenberg inequalities and ground states on stratified Lie groups. [PDF]

Calc Var Partial Differ Equ
Ghosh S, Kumar V, Ruzhansky M.
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Multiplicity of solutions of quasilinear subelliptic equations on Heisenberg group

Applied Mathematical Sciences, 2017
Fanglan Li, Gao Jia
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Exceptional sets for solutions to subelliptic equations

Siberian Mathematical Journal, 1995
This paper deals with removable singularities for bounded solutions of the following class of nonlinear hypoelliptic equations: \[ -\sum^m_{j=1} X^*_jA_j(x,u,X_1u,\dots,X_mu)= f(x,u,X_1u,\dots,X_mu), \] where the \(C^\infty\) vector fields \(X_1,\dots,X_m\) fulfill the well-known Hörmander's conditions for hypoellipticity.
S K Vodop'Yanov, Vodop'Yanov S K
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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.
Nicola Garofalo, Luca Capogna, Donatella Danielli   +2 more
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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
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Singular subelliptic equations and Sobolev inequalities on Carnot groups

Analysis and Mathematical Physics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alexander Ukhlov, Prashanta Garain, Garain Prashanta   +2 more
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A class of subelliptic quasilinear equations

Journal of Global Optimization, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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
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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
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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.
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