On global solutions to semilinear elliptic equations related to the one-phase free boundary problem

DOI10.3934/dcds.2019238zbMath1425.35239arXiv1811.02980OpenAlexW2963700726WikidataQ127714215 ScholiaQ127714215MaRDI QIDQ2335351

Xavier Ros-Oton, Xavier Fernández-Real

Publication date: 14 November 2019

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.02980

zbMATH Keywords

one-phase free boundary problemelliptic PDEDe Giorgi conjectureflame propagation1D symmetry

Mathematics Subject Classification ID

Combustion (80A25) Free boundary problems for PDEs (35R35) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) Axially symmetric solutions to PDEs (35B07)

Related Items (7)

Interface regularity for semilinear one-phase problems ⋮ Regularity of free boundaries in obstacle problems ⋮ Graphical solutions to one-phase free boundary problems ⋮ Boundary regularity of an isotropically censored nonlocal operator ⋮ Nondegeneracy and stability in the limit of a one-phase singular perturbation problem ⋮ Smooth approximations for fully nonlinear nonlocal elliptic equations ⋮ Recent progress on stable and finite Morse index solutions of semilinear elliptic equations

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