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Abstract We study solutions and the free boundary ∂ { | u | > 0 } of the sublinear system Δ u = λ + ( x ) | u… Click to show full abstract
Abstract We study solutions and the free boundary ∂ { | u | > 0 } of the sublinear system Δ u = λ + ( x ) | u + | q − 1 u + − λ − ( x ) | u − | q − 1 u − , from a regularity point of view. For λ ± ( x ) > 0 and Holder, and 0 q 1 , we apply the epiperimetric inequality approach and show C 1 , β -regularity for the free boundary at asymptotically flat points.
Keywords:
elliptic system;
system;
problem elliptic;
free boundary;
boundary problem
Journal Title: Journal of Differential Equations
Year Published: 2021
Link to full text (if available)
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Journal Title: Journal of Differential Equations
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!