A semilinear PDE with free boundary

DOI10.1016/j.na.2016.11.019zbMath1357.35138OpenAlexW2564642734MaRDI QIDQ504367

Morteza Fotouhi, Henrik Shahgholian

Publication date: 16 January 2017

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2016.11.019

zbMATH Keywords

regularitysemilinear elliptic equationfree boundary

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Semilinear elliptic equations (35J61)

Related Items (9)

Regularity of the free boundary for a parabolic cooperative system ⋮ Asymptotic behavior of the interface for entire vector minimizers in phase transitions ⋮ A free boundary problem for an elliptic system ⋮ Almost minimizers for a sublinear system with free boundary ⋮ A two-phase free boundary with a logarithmic term ⋮ Higher regularity of the free boundary in a semilinear system ⋮ On the nodal set of solutions to some sublinear equations without homogeneity ⋮ The singular set for a semilinear unstable problem ⋮ The nodal set of solutions to some elliptic problems: sublinear equations, and unstable two-phase membrane problem

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