
doi: 10.1007/bf02107326
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. Sufficient conditions for removability of the singularities of bounded solutions are proved. In a special case these conditions turn out to be necessary, too. An application to some variational problems is given. At the end of the paper it is shown that the capacity of the set on which a solution of the subelliptic equation is \(+\infty\) equals 0.
removable singularities, Hypoelliptic equations, nonlinear hypoelliptic equations, capacity, Nonlinear higher-order PDEs
removable singularities, Hypoelliptic equations, nonlinear hypoelliptic equations, capacity, Nonlinear higher-order PDEs
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 0 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
