A variational treatment for general elliptic equations of the flame propagation type: regularity of the free boundary

DOI10.1016/j.anihpc.2007.02.006zbMath1220.35197OpenAlexW2002380819MaRDI QIDQ935266

Eduardo V. Teixeira

Publication date: 6 August 2008

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/78804

zbMATH Keywords

singular perturbationfree boundary problemsregularity theorycomplete elliptic operator

Mathematics Subject Classification ID

Variational inequalities (49J40) Smoothness and regularity of solutions to PDEs (35B65) Nonlinear boundary value problems for linear elliptic equations (35J65) Equations involving nonlinear operators (general) (47J05) Free boundary problems for PDEs (35R35)

Related Items (14)

Singular perturbation problem in boundary/fractional combustion ⋮ Geometric approach to nonvariational singular elliptic equations ⋮ Fully nonlinear singularly perturbed models with non-homogeneous degeneracy ⋮ Existence and regularity properties of non-isotropic singular elliptic equations ⋮ Fully nonlinear singularly perturbed equations and asymptotic free boundaries ⋮ Free boundary problems involving singular weights ⋮ Bernoulli variational problem and beyond ⋮ Singularly perturbed equations of degenerate type ⋮ Gradient estimates for viscosity solutions of singular fully nonlinear elliptic equations ⋮ Recent results on nonlinear elliptic free boundary problems ⋮ A limiting free boundary problem ruled by Aronsson’s equation ⋮ Free transmission problems ⋮ Perron's solutions for two-phase free boundary problems with distributed sources ⋮ Cavity problems in discontinuous media

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