The aim of this note is to prove the unique continuation property for non-negative solutions of the quasilinear elliptic equation (*) div A(x, u, delu) = B(x, u, delu). We allow the coefficients to belong to a generalised Kato class.
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Univ Catania, Dipartimento Matemat & Informat, Viale A Doria 6, I-95125 Catania, ItalyUniv Catania, Dipartimento Matemat & Informat, Viale A Doria 6, I-95125 Catania, Italy
Di Fazio, Giuseppe
Fanciullo, Maria Stella
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Univ Catania, Dipartimento Matemat & Informat, Viale A Doria 6, I-95125 Catania, ItalyUniv Catania, Dipartimento Matemat & Informat, Viale A Doria 6, I-95125 Catania, Italy
Fanciullo, Maria Stella
Zamboni, Pietro
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Univ Catania, Dipartimento Matemat & Informat, Viale A Doria 6, I-95125 Catania, ItalyUniv Catania, Dipartimento Matemat & Informat, Viale A Doria 6, I-95125 Catania, Italy
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Institute of Applied Mathematics and Mechanics of the NAS of Ukraine, SlovyanskInstitute of Applied Mathematics and Mechanics of the NAS of Ukraine, Slovyansk
Bychkov A.S.
Hadzhy O.V.
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Institute of Applied Mathematics and Mechanics of the NAS of Ukraine, SlovyanskInstitute of Applied Mathematics and Mechanics of the NAS of Ukraine, Slovyansk
Hadzhy O.V.
Zozulia Y.S.
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Institute of Applied Mathematics and Mechanics of the NAS of Ukraine, Slovyansk
Donbass State Engineering Academy, KramatorskInstitute of Applied Mathematics and Mechanics of the NAS of Ukraine, Slovyansk