INVESTIGADORES
OCHOA Pablo Daniel
artículos
Título:
A study of comparison, existence and regularity of viscosity and weak solutions of quasilinear equations in the Heisenberg group
Autor/es:
PABLO OCHOA; JULIO RUIZ
Revista:
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
Editorial:
AMER INST MATHEMATICAL SCIENCES
Referencias:
Lugar: springfield; Año: 2018
ISSN:
1534-0392
Resumen:
In this manuscript, we are interested in the study of existence, uniqueness and comparison of viscosity and weak solutions for quasilinear equations in the Heisenberg group. In particular, we highlight the limitation of applying the Euclidean theory of viscosity solutions to get comparison of solutions of sub-elliptic equations in the Heisenberg group. Moreover, we will be concerned with the equivalence of different notions of weak solutions under appropriate assumptions for the operators under analysis. We end the paper with an application to a Rad´o property.
