Title of article
Monotonicity up to radially symmetric cores of positive solutions to nonlinear elliptic equations: local moving planes and unique continuation in a non-Lipschitz case Original Research Article
Author/Authors
Jean Dolbeault، نويسنده , , Patricio Felmer، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2004
Pages
19
From page
299
To page
317
Abstract
We prove local monotonicity and symmetry properties for nonnegative solutions of scalar field equations with nonlinearities which are not Lipschitz. Our main tools are a local moving plane method and a unique continuation argument.
Keywords
Non-Lipschitz nonlinearities , Comparison techniques , Maximum principle , Hopfיs lemma , Local symmetry , Scalar field equations , Monotonicity , dead cores , symmetry , Cores , positivity , Unique continuation , elliptic equations
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2004
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
858649
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