An application of generalized Morrey spaces to unique continuation property of the quasilinear elliptic equations

An application of generalized Morrey spaces to unique continuation property of the quasilinear elliptic equations

In this paper, we study nonnegative weak solutions of the quasilinear elliptic equation $ \text{div}(A(x, u, \nabla u)) = B(x, u, \nabla u) $, in a bounded open set $ \Omega $, whose coefficients belong to a generalized Morrey space. We show that $ \log (u + \delta) $, for $ u $ a nonnegative s...

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Bibliographic Details
Main Authors: Nicky K. Tumalun, Philotheus E. A. Tuerah, Marvel G. Maukar, Anetha L. F. Tilaar, Patricia V. J. Runtu
Format: Article
Language:English
Published: AIMS Press 2023-09-01
Series:AIMS Mathematics
Subjects:
quasilinear elliptic equations
generalized morrey spaces
fefferman's inequality
bounded mean oscillation
strong unique continuation property
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20231325?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.20231325?viewType=HTML

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