Compact embeddings, eigenvalue problems, and subelliptic Brezis–Nirenberg equations involving singularity on stratified Lie groups [PDF]
, 2023 Sekhar Ghosh +2 more
openalex +1 more source
Nonlinear subelliptic Schrödinger equations with external magnetic field
Electronic Journal of Differential Equations, 2004 Summary: To account for an external magnetic field in a Hamiltonian of a quantum system on a manifold (modelled here by a subelliptic Dirichlet form), one replaces the the momentum operator \(\frac 1i d\) in the subelliptic symbol by \(\frac 1i d-\alpha\), where \(\alpha\in TM^*\) is called a magnetic potential for the magnetic field \(\beta=d\alpha\).
openaire +2 more sources
L p $L^{p}$ -Estimates for quasilinear subelliptic equations with VMO coefficients under the controllable growth [PDF]
, 2016 Bangcheng Sun +3 more
openalex +1 more source
Mean value formulas for classical solutions to subelliptic evolution equations in stratified Lie groups [PDF]
, 2023 Diego Pallara, Sergio Polidoro
openalex +1 more source
On positivity of certain systems of partial differential equations. [PDF]
Proc Natl Acad Sci U S A, 2007 Parmeggiani A.
europepmc +1 more source
Guide to nonlinear potential estimates. [PDF]
Bull Math Sci, 2014 Kuusi T, Mingione G.
europepmc +1 more source
Removable singularities and Harnack inequality for nonlinear Hörmander degenerate subelliptic equations [PDF]
Jiechen Qiang, Yawei Wei, Mengnan Zhang
openalex +1 more source
Multiplier ideal sheaves and existence of Kähler-Einstein metrics of positive scalar curvature. [PDF]
Proc Natl Acad Sci U S A, 1989 Nadel AM.
europepmc +1 more source
Compact Embeddings, Eigenvalue Problems, and subelliptic Brezis-Nirenberg equations involving singularity on stratified Lie groups [PDF]
, 2022 Sekhar Ghosh +2 more
openalex +1 more source
Sharp local bounds for orders of contact. [PDF]
Proc Natl Acad Sci U S A, 1981 D'Angelo JP.
europepmc +1 more source