Unique continuation of positive solutions for doubly degenerate quasilinear elliptic equations
Date
2017-06-29
Authors
Di Fazio, Giuseppe
Fanciullo, Maria
Zamboni, Pietro
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We consider quasilinear elliptic equations that are degenerate in two ways. One kind of degeneracy is due to the particular structure of the given vector fields. Another is a consequence of the weights that we impose to the quadratic form of the associated differential operator. Nonetheless we prove that positive solutions satisfy unique continuation property.
Description
Keywords
Grushin operator, Strong A-infinity weights, Stummel-Kato classes, Unique continuation
Citation
Di Fazio, G., Fanciullo, M. S., & Zamboni, P. (2017). Unique continuation of positive solutions for doubly degenerate quasilinear elliptic equations. Electronic Journal of Differential Equations, 2017(158), pp. 1-10.
Rights
Attribution 4.0 International