Giuseppe Di Fazio, Maria Stella Fanciullo, Pietro Zamboni
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.
Submitted May 17, 2017. Published June 29, 2017.
Math Subject Classifications: 35J70, 35B65.
Key Words: Grushin operator; strong A-infinity weights; Stummel-Kato classes;
unique continuation.
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Giuseppe Di Fazio Dipartimento di Matematica e Informatica Università di Catania Viale A. Doria 6, 95125, Catania, Italy email: giuseppedifazio@unict.it |
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Maria Stella Fanciullo Dipartimento di Matematica e Informatica Università di Catania Viale A. Doria 6, 95125, Catania, Italy email: fanciullo@dmi.unict.it |
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Pietro Zamboni Dipartimento di Matematica e Informatica Università di Catania Viale A. Doria 6, 95125, Catania, Italy email: zamboni@dmi.unict.it |
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