Results 91 to 100 of about 304 (131)
Non-subelliptic estimates for the tangential Cauchy-Riemann system
We prove non-subelliptic estimates for the tangential Cauchy-Riemann system over a weakly “q-pseudoconvex” higher codimensional submanifold M of Cn. Let us point out that our hypotheses do not suffice to guarantee subelliptic estimates, in general.
BARACCO, LUCA +2 more
core
Singular integrals related to the Radon transform and boundary value problems. [PDF]
Phong DH, Stein EM.
europepmc +1 more source
Best constants in subelliptic fractional Sobolev and Gagliardo-Nirenberg inequalities and ground states on stratified Lie groups. [PDF]
Ghosh S, Kumar V, Ruzhansky M.
europepmc +1 more source
Recent results on Kolmogorov equations and applications.
The paper contains a survey of results on a class of linear and non linear Kolmogorov-type operators.
POLIDORO, Sergio
core
New strong maximum and comparison principles for fully nonlinear degenerate elliptic PDEs
We introduce a notion of subunit vector field for fully nonlinear degenerate elliptic equations. We prove that an interior maximum of a viscosity subsolution of such an equation propagates along the trajectories of subunit vector fields.
Martino Bardi, Alessandro Goffi
core
Multiplicity of solutions of quasilinear subelliptic equations on Heisenberg group
Fanglan Li, Gao Jia
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Uniqueness of Solutions of a Class of Quasilinear Subelliptic Equations
We study the uniqueness problem of the equation, −∆L,pu+|u|q−1u=h on RN, where q > p − 1 > 0. and N > p. Uniqueness results proved in this paper hold for equations associated to the mean curvature type operators as well as for more general quasilinear coercive subelliptic operators.
D'Ambrosio, L., MITIDIERI, ENZO
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Exceptional sets for solutions to subelliptic equations
Siberian Mathematical Journal, 1995This 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
exaly +3 more sources

