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. <i>Electronic Journal of Differential Equations, 2017</i>(158), pp. 1-10.

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Attribution 4.0 International

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