INVESTIGADORES
OCHOA Pablo Daniel
artículos
Título:
On viscosity and weak solutions for non-homogeneous p-Laplace equations
Autor/es:
PABLO OCHOA; MARÍA MEDINA
Revista:
Advances in Nonlinear Analysis
Editorial:
de Gruyter
Referencias:
Año: 2019 vol. 8 p. 468 - 481
ISSN:
2191-9496
Resumen:
In this manuscript, we study the relation between viscosity and weak solutions for non-homogeneous p-Laplace equations with lower order term depending on $x$, $u$ and $abla u$. More precisely, we prove that any locally bounded viscosity solution constitutes a weak solution, extending results presented in Juutinen, Lindqvist and Manfredi cite{JLM}, and Julin and Juutinen cite{JJ}. Moreover, we provide a converse statement in the full case under extra assumptions on the data.
